SSC CGL 2025 Previous Year Questions

A vendor buys three types of apples. First at 6 for ₹15, second at 4 for ₹12, third at 3 for ₹9. Mixed in ratio 3:2:1 respectively. Sold at 5 for ₹14. Profit or loss percent approximately?

A software company developed 1000 licenses for a new application at a total cost of ₹5,000,000. They provided 100 licenses free to their top beta testers. For the remaining licenses, they offered a 20% discount on the market price of ₹8000 per license. Additionally, they gave 1 license free for every 8 licenses bought. If all 1000 licenses were distributed, what is the company's overall gain or loss percentage?

A dealer marks his goods 30% above the cost price and then allows a discount. If he still makes a profit of 4% on the cost price, what was the discount percentage?

A television set is sold for ₹Q and the shopkeeper earns a profit of 25%. During a clearance sale, he marks the same set at 1.4Q and allows a discount of 15% on the marked price. What is his profit percentage during the sale?

A container holds 4,000 milliliters of liquid. If its full capacity is 0.008 kiloliters, what percentage is empty?

A bookseller purchases 10 notebooks at the marked price of 8 notebooks from a distributor. If he then sells these notebooks to customers, offering a discount of 10% on the marked price, what is his profit percentage?

A family spends on groceries, rent, and other expenses in the ratio 3 : 5 : 2. Next year, groceries are expected to rise by 8%, rent by 4%, and other expenses to fall by 10%. What will be the overall percentage change in total expenditure?

If the selling price of an article is 90% of its marked price and the cost price is 80% of the marked price, what is the profit percentage?

A shop sells a watch for ₹ B, incurring a loss of 8%. During a clearance sale, they mark it up to ₹1.3B. At the sale, they offer a discount of 15% on this marked price. What will be the percentage profit or loss during the sale?

A man spends 70% of his income. His income increases by 10% and his expenditure by 5%. What is the percentage increase in his savings?

4.5% of 600 = ?

A trader marks his goods 30% above the cost price and then allows a discount of 12%. What is his profit percentage?

A wall clock (radius 18 cm) has a chord forming equilateral triangle with two radii at center. Smaller segment painted. What percentage of total area(approximate)?

A man spends 75% of his income. His income has increased by 20%, but his expenditure remains the same. By what percent have his savings increased?

A solid cylinder (radius 6 cm) has five cylindrical holes (radius 1.5 cm each) drilled throughout its length. Approximately what percent of volume is removed?

An annular (ring-shaped) disc has outer and inner radii of 12 cm and 8 cm. What percentage of the full circle is this ring?

A retailer buys a gadget for ₹1200. He offers a 15% discount on the marked price. If the marked price is set at ₹1500, what is his overall profit or loss percentage?

If an angle 𝜃 =2 radians, what percentage of the full circle does it represent?

The volume of a sphere is $V$. If the radius of the sphere is tripled, by what percentage does the volume increase?

A square-shaped piece of metal has a circular hole cut out exactly from its center, touching all four sides. What percentage of the metal sheet's area remains after the hole is cut? (use 𝜋 =3.14)

A shopkeeper bought 100 pens at Rs 10 each. He sold 60 pens at 20% profit and the rest at 10% loss. What is the overall profit or loss percentage?

An angle of pi/2 radians represents what percentage of a full circle?

A retailer sold three products X, Y, and Z with selling prices in the ratio 3:5:7. He incurred a 12% loss on X, a 40% profit on Y, and broke even on Z. What was his overall profit or loss percentage?

A shopkeeper sells 20 units of an item for ₹1200, thereby gaining the cost price of 4 units. Find his gain percentage.

A trader buys 8 items for the price of 5 items. If he sells each item at a 5% discount on its marked price, what is his profit percentage?

A shopkeeper offers a festival deal, "Flat Rs. 150 off on every purchase above Rs. 1000." What is the effective discount percentage if a buyer purchases an item marked Rs. 1200?

A spherical balloon is inflated, causing its radius to grow by 20%. By what percentage does its surface area increase?

A triangular park with base 50 m and height 40 m shares a boundary with a rectangular garden of length 50 m and breadth 30 m. Find the combined area and percentage of the park's area in the total .

A solid sphere is placed inside a cube such that it touches all six faces. What percentage of the cube's volume is occupied by the sphere?

A trader gave a 20% discount on the market price but still earned a 10% profit. What percentage was the market price above the cost price?

A company produced 1500 units at a total cost of ₹1,20,000. It donated 300 units to an NGO. For the rest, it announced a 15% discount on the market price of ₹110 per unit. It also offered 3 units free for every 10 units purchased. If all 1500 units were distributed, what is the overall gain or loss percentage?

The radius of a circular plate is increased by 8%. What will be the approximate percentage increase in its area?

If the surface area of a sphere increases by 21%, by what percentage does its volume increase?

A rectangular park is 80 m by 50 m. A semicircular pond of diameter 50 m is constructed inside it. What percent of the park's area does the pond occupy? (Take π ≈ 3.14159)

A taxi travels at a constant speed of 75 km/h to cover a certain distance in 3 hours and 12 minutes. If road construction increases the time taken by 24 minutes, by what percentage must the taxi's average speed decrease to complete the journey?

The price of an article is increased by 20% and then decreased by 10%. Find the net percentage change.

If all three dimensions of a cuboid are increased by 20%, the volume increases by what percentage?

A value is increased by 30% and then decreased by an unknown percentage to return to the original value. What is the percentage decrease required?

A container holds 4,000 milliliters of liquid. If its full capacity is 0.008 kiloliters, what percentage is empty?

Eighty percent of a number is 20 more than three-fifths of that number. Find the number.

A bookshop advertises: "Buy 4 books and get the 5th at 50% discount." If the marked price of each book is Rs. 480 and all books are priced the same, what is the effective percentage discount the customer receives on the total purchase?

The profit made on an article sold for ₹2400 is equal to the loss incurred when it is sold for ₹2000. What will be the profit or loss percentage if the article is sold for ₹2200?

The budget of a factory is distributed among raw materials, wages, and maintenance in the ratio 4:3:3. During a year, the cost of raw materials rises by 12%, wages by 8%, and maintenance falls by 10%. What is the overall percentage change in the total budget?

A container has a 100-litre mixture of acid and water in the ratio 4:1. 20 litres is removed and replaced with water. Then 20 litres is removed again and replaced with pure acid. What is the final percentage of acid?

The volume of a sphere is V. If the radius of the sphere is increased by 5 times, by what percentage does the volume increase?

A watch is listed at ₹1200. After two successive discounts, it is sold for ₹816. If the first discount offered was 20%, what was the second discount percentage?

A factory manufactured 4000 electronic gadgets at a total cost of ₹200,000. They gave away 400 gadgets for free as part of a promotional campaign. For the remaining items, they offered a 20% discount on the market price of ₹100 per gadget. Additionally, they introduced a scheme giving one gadget free with every 8 gadgets bought. If all 4000 gadgets were distributed, what is their overall gain or loss percentage?

The price of diesel increased by 6%. Before the increase, the price was ₹85 per litre. A person travels 2880 km every month and his vehicle gives a mileage of 12 km per litre. What is the increase in the monthly expenditure (to the nearest ₹) on his travel due to the price hike?

If P is 30% more than Q, and R is 25% more than P, then what is Q : R?

A container has 60 litres of a mixture of acid and water in the ratio 7:3. 20% of the mixture is taken out and replaced with water. This operation is repeated once more. What is the final percentage of acid in the mixture?

If 50% of a number is 1.2 more than 35% of it, what is the number?

The base area of a cylinder is increased by 40%, while the height remains the same. By what percentage does the volume increase?

In a town, the present number of employed people is 40,000. If the number of employed men decreases by 4% and the number of employed women increases by 12%, the total employed population becomes 40,480. What is the present number of employed men?

In an entrance test with 180 questions, there are three sections: Physics (40 questions), Chemistry (70 questions), and Biology (70 questions). A student answered 75% of Physics, 55% of Chemistry, and 45% of Biology questions correctly. If the minimum passing score is 62%, how many more questions did the student need to answer correctly to pass?

An investment is made in a business. In the first year, it gains 25%, in the second year, it loses 20%, and in the third year, it gains 10%. What is the overall gain or loss percentage?

A value was mistakenly decreased by 10% instead of increased by 10%. By what percent is the final result less than the CORRECT value?

One grain is sold for ₹84/kg at 20% profit. Another is sold for ₹72/kg at 20% profit. Mixed in ratio 3:2 and sold at ₹78/kg, what is the profit/loss percentage?

A retailer sells an item for ₹Z with a loss of 12%. He then marks it at 0.9Z and gives a 10% discount. What is the overall loss percentage?

If the selling price of an item is increased by 25% and the profit also increases from 20% to 30%, what is the percentage increase in the cost price?

A shopkeeper mixes two types of pulses – one costing ₹80 per kg and the other costing ₹120 per kg, in the ratio 3 : 2. If he sells the mixture at ₹105.60 per kg, find his profit or loss percent.

A retailer bought three different types of bags, B1, B2, and B3. The ratio of their cost prices was 4:5:6. He made a profit of 35% on B1, 18% on B2, but incurred a loss of 15% on B3. What was his approximate percent gain or loss in the entire transaction?

A cylinder (r = 5cm, h = 12cm) is bored by a hole (r = 3cm, full height). Percentage of original volume removed?

The area of a regular triangle increases by 69%. By what percentage did the side length increase?

A washing machine has a marked price of ₹30,000. It is sold after two successive discounts. If the first discount is 18% and the final selling price is ₹21,528, what is the percentage of the second discount?

Due to an error, a shopkeeper increases the selling price of a Rs 500 item by 10% instead of decreasing it by 10%. What is the percentage increase in the price due to this error?

A mixture contains 70% milk. If 40 liters of water is added to the 100-liter mixture, what is the new percentage of milk?

A rectangular lawn measures 40 m by 30 m. A 2 m wide path is constructed all around the inside of the lawn. What percentage of the lawn's area is occupied by the path?

Out of his total monthly income, a man spends 50% on food and household expenses and 20% on rent. The remaining is spent on other miscellaneous items. What percentage of his income is spent on these other items?

A shopkeeper sells rice at a discount of 6% on the marked price but uses a weight that is 25% less than the actual weight. Find his overall profit percentage.

A mixture of 200 litres contains acid and water in the ratio 3:2. If 40 litres of the mixture is replaced with water, what will be the percentage of acid in the final mixture?

A retailer marks his goods 40% above the cost price. He allows a discount and still gains 19%. What was the discount percentage?

A shopkeeper buys three types of pens. The first type costs him 6 pens for ₹35, the second 4 pens for ₹24, and the third 12 pens for ₹75. He mixes them in the ratio 4:3:5. If he sells all the pens at 5 for ₹32, what is his approximate gain or loss percentage?

A clothing retailer sells a shirt for ₹Q and earns a profit of 25%. For a clearance sale, he marks the same shirt at ₹1.6Q. At the sale, he provides a discount of 15%. What will be the percentage profit during the clearance sale?

A man spends 75% of his income. Due to inflation, his expenses increase by 20%, and his income increases by 10%. What is the percentage change in his savings?

If the radius of a cylinder is increased by 10% and its height is increased by 20%, what is the net percentage increase in its volume?

If height of right prism increased by 60% with same base area, what is volume percentage increase?

A merchant incurred a loss of ₹200 on an item. If the loss percentage was 8%, what was the cost price?

A circular park with 8 m diameter is surrounded by 0.5 m wide path. What is the percentage increase in area?

A dealer mixes two types of tea–one costing ₹120 per kg and the other ₹150 per kg, in the ratio 2 : 3. If he sells the blend at ₹151.80 per kg, find his profit or loss percent.

A vendor mixes two types of tea - one costing ₹150 per kg and another costing ₹200 per kg, in the ratio 2 : 3. If he sells the mixture at ₹180 per kg, find his gain or loss percent.

The budget of a factory is distributed among raw materials, wages, and maintenance in the ratio 4:3:3. During a year, the cost of raw materials rises by 12%, wages by 8%, and maintenance falls by 10%. What is the overall percentage change in the total budget?

The marked price of a microwave is ₹15,000. It is sold after two successive discounts. If the second discount is 10% and the final selling price is ₹10,800, find the first discount percentage.

A shopkeeper sells 8 items for ₹240, but incurs a loss equal to the cost price of 2 items. What is the loss percent?

In an election, 75% of eligible voters participated. Of these, 4% were invalid votes. If a winning candidate got 13,500 votes which was 55% of valid votes, what was the total number of eligible voters (to the nearest integer)?

A shopkeeper buys 9 pens for the marked price of 8 pens. He sells each pen after allowing a discount of 5% on the marked price. Find his profit percentage.

25 workers can do a piece of work in 40 days. Find the percentage amount of work done by 50 workers in 5 days.

A car wheel having a radius of 42 cm. What percentage of its circumference is covered in a half turn? (Use π = 227)

A baker buys three types of flour: wheat, rye, and oats. Wheat flour costs 5 for ₹40, rye flour at 6 for ₹45, and oats flour at 4 for ₹36. He mixes them in the ratio 2:2:3. He sells all the mixed flour at 3 for ₹32. What is his approximate profit or loss percentage?

An electronics retailer orders 200 wireless headphones at a cost of ₹500 each. The owner plans to price them so that selling only 160 headphones would guarantee a 30% profit on the total investment. However, due to high demand, 180 headphones are sold. If the remaining headphones have no resale value, calculate the store's actual profit percentage on the total investment.

A store sold 3 items with selling prices in ratio 4:5:6. Profit/loss: 25% profit, 15% loss, 20% profit respectively. What is approximate total profit/loss percentage?

A trader sells one variety of sugar at ₹36 per kg, incurring a 10% loss, and another variety at ₹48 per kg, incurring a 20% loss. If he mixes the two varieties in equal quantities and sells the mixture at ₹42 per kg, what is his overall profit or loss percentage?

A trader bought 4 varieties of coffee whose weights are in the ratio 1:2:3:4. Their respective prices per kg are Rs. 100, Rs. 120, Rs. 150, and Rs. 180. What is the average cost per kg of the mixture?

The decimal 0.33... is best classified as:

If A : B = 3 : 4, B : C = 5 : 6, and C : D = 7 : 8, then find B : D.

Two numbers are in the ratio 7:11. If their difference is 48, find the larger number.

The ratio of male to female employees in a company is 8:6. If 15 more female employees join the company, the new ratio of male to female employees becomes 8:7. What is the total number of employees in the company initially?

A bag contains ₹10, ₹5, and ₹2 coins in the ratio 3 : 4 : 5. If the total amount of money in the bag is ₹600, find the number of coins of each kind.

Initial ratio of yellow, red, and blue pens is 2:5:7. After adding 18 yellow, 12 red, and y blue pens, the new ratio becomes 3:6:8. Find y.

A solution of 100 litres has a 60% salt concentration. How many litres of water must be added to reduce the concentration to 40%, and then how much pure salt must be added to bring the concentration back to 50%?

If the radius of a cylinder is increased to 1.5 times and the height is doubled, what is the ratio of the new volume to the original volume?

M and N share a rented property. M uses 16 machines for 6 months, while N uses 24 equipment for 5 months and 36 tools for 4 months. If 3 machines are equivalent to 6 equipment, and 2 equipment equal 3 tools, what portion of rent does M pay?

The volume of a right circular cone is equal to the volume of a sphere. If the height of the cone is four times its base radius, find the ratio of the cone's radius to the sphere's radius.

A sphere and a cone have the same volume and base radius. Find the ratio of height of cone to its radius.

A person invested ₹15,000 in two different schemes. He invested one part for 5 years at 4% simple interest and the other part for the same duration at 6% simple interest. If the interest earned from the second part was ₹1,500 more than the interest earned from the first part, how much money was invested in the second scheme?

Two similar hexagons have their perimeters in the ratio 5:7. If the smaller hexagon has an area of 75 cm², what is the area of the larger hexagon?

A grocer mixes two varieties of pulses costing Rs. 80/kg and Rs. 120/kg. He sells the mixture at Rs. 110/kg, making a 10% profit. In what ratio were the varieties mixed?

In a sports survey of 150 students, determine the ratio of students who play Cricket to those who play Badminton. Play Cricket and Badminton: 30, Play Cricket but not Badminton: 50, Play Badminton but not Cricket: 40, Play neither sport: 30.

From point C on the ground, the angle of elevation to the top of a cliff is 30°. From point D, which is 60m closer to the cliff, the angle of elevation is 60°. Find the ratio of the distance of C from the cliff's foot to the distance of D from the cliff's foot.

The sides of a rectangular prism are in the ratio 1:2:3. If the volume of the prism is 384 cm³, what is the length of its longest side?

A pipe is divided in the ratio 37 : 25 : 34. Total length = 8 m. Find the largest piece.

Raj and Priya started a business with ₹1,50,000 and ₹1,20,000 respectively. After 6 months, Priya invested an additional ₹60,000 and Raj withdrew ₹30,000. What is their profit-sharing ratio at the end of 1 year?

From a sample of 250 data scientists, determine the ratio of those proficient in Python to those proficient in R. Category Number of Data Scientists Proficient in Python and R 50 Proficient in Python only 80 Proficient in R only 70 Proficient in neither language 50 Total Sample Size 250

If the ratio of capital of P and Q is 4:5 and the time for which they invested is in the ratio 5:6, then the profit ratio is:

Three batches of students have average ages 17, 19, and 23 years respectively. If their numbers are in the ratio 3 : 4 : 6, what is the overall average age of all the students?

A firm ordered 15 premium machines and some standard machines. The price of a premium machine was 6 times that of a standard machine. By mistake, the number of premium and standard machines was interchanged in the delivery, which increased the total bill by 62.5%. What was the ratio of the number of premium machines to standard machines in the original order?

P, Q, and R invest in the ratio 3:4:5. Their investment time ratio is 4:3:2. What is the ratio of their profits?

P and Q invested in a venture in the ratio 4:7. The profit was shared in the ratio 8:7. If P invested for 14 months, for how long did Q invest?

Partners X and Y invest Rs. 60,000 and Rs. 90,000 respectively. X works for 6 months, Y for 4 months. Profit is divided based on capital (×) time. Find their profit ratio.

Rajesh started a business with ₹1,00,000. After 4 months, Suresh joined with ₹1,20,000. After another 4 months, Rajesh withdrew ₹40,000. What is the ratio of their profits at the end of the year?

Solution has acid:water = 6:4. If 5L water added, new ratio is 6:5. Original acid quantity?

In a triangle PQR, side QR is extended to a point S. The exterior angle at R is 120°. The interior angles at P and Q are in the ratio 3:5. What is the measure of the largest interior angle of the triangle?

If 25% of P is equal to 40% of Q, what is the ratio P : Q?

In a group, 80 people know only Python and 50 know both Python and R. 70 people know only R and 50 know both Python and R. What is the ratio of total people proficient in Python to those proficient in R?

A person invested ₹12,000 at 5% simple interest and ₹8,000 at 10% simple interest for the same period. If the total interest earned is ₹2,800, what was the time duration?

A cone is sliced into two sections by a plane that is parallel to its base, with the upper section representing 127 of the overall volume. What is the ratio of the heights of the smaller cone to the original cone?

Two distinct qualities of wheat, one priced at ₹90 per kilogram and the other at ₹135 per kilogram, are mixed in an undisclosed proportion. The resultant blend is sold at ₹150 per kilogram, securing a profit margin of 25% on the overall cost price. Determine the ratio in which the two wheat varieties were mixed.

A square of side 12 cm has a smaller square (of side 5 cm) removed from one corner. What is the ratio of the remaining area to the original area?

A shop ordered 8 dozen type-A pens and some dozen type-B pens. Each dozen of type-A costs 2.5 times as much as each dozen of type-B. When the order was delivered, the quantities of the two types had been swapped, and the bill increased by 50%. What was the original ratio of type-A pens to type-B pens?

A triangular metal plate has sides in the ratio 3:4:5. If the perimeter is 36 m, what is the area?

A box contains ₹2, ₹1, and 50p coins in the ratio 3 : 4 : 5. If the total value is ₹250, find the number of 50p coins.

Two containers of equal capacity are filled with a mixture of juice and water. The first contains them in the ratio 4 : 1, and the second in the ratio 1 : 4. The mixtures are then combined. What is the ratio of juice to water in the resulting mixture?

If 20% of m is equal to 80% of n, what is the ratio m : n?

Two similar circles have their radii in the ratio 5:8. What is the ratio of their areas?

X invests ₹25,000 and Y invests ₹40,000 in a business. X receives an additional 15% bonus for administration work. The total profit is ₹75,000. What is X's share(approximate)?

If A : B = 4 : 9, B : C = 3 : 7 and C : D = 5 : 2, find A : B : C : D.

The ratio of male to female employees in a company is 8:6. If 15 more female employees join the company, the new ratio of male to female employees becomes 8:7. What is the total number of employees in the company initially?

A circular pond with a radius of 9 m is surrounded by a walking path that is 4.5 m wide. Determine the ratio of the area of the walking path to the area of the pond.

Priya started a business with Rs. 75,000. Ravi joined 6 months later with Rs. 50,000. At what ratio will they share the profit after two years?

If 30% of (A + B) = 60% of (A – B), then find the ratio A : B

P and Q start a business. P invests 3 times the capital of Q. After 7 months, P withdraws one-third of his capital, and Q doubles his capital. If the total duration of the business is 12 months and the total profit is ₹60,000, find Q's share.

Two individuals, P and Q, rent a field together. P has 20 oxen grazed for 5 months. Q grazes 30 buffalo for 5 months and 40 sheep for 3 months. Relationships: 2 oxen = 5 buffalo, 3 buffalo = 6 sheep. What fraction of rent should P pay?

A wallet contains ₹20, ₹10, and ₹5 notes in the ratio 2 : 3 : 5. If the total amount is ₹760, find the number of notes of each kind.

Arun ordered 8 kg of type-A sugar and some additional kilograms of type-B sugar. Type-A costs twice as much per kg as type-B. When delivered, quantities were swapped, increasing the bill by 35%. Find the ratio of original type-A to type-B quantity.

A gardener has 80 m of fencing wire. He can use this wire to enclose either a circular lawn or a square lawn. If he uses the entire wire in each case, what is the approximate ratio of the area of the circular lawn to the area of the square lawn?

From a sample of 250 data scientists, determine the ratio of those proficient in Python to those proficient in R. Category: Proficient in Python and R = 50, Proficient in Python only = 80, Proficient in R only = 70, Proficient in neither = 50, Total = 250.

X, Y, and Z invested ₹50,000, ₹75,000, and ₹1,25,000 respectively in a business. If the total profit is ₹50,000, what is Y's share?

What should be subtracted from 8, 10, 11, 14 so that the remaining numbers may be proportional?

A 30-litre mixture of oil and kerosene contains oil and kerosene in the ratio 2:1. Some quantity of kerosene is added, changing the ratio to 1:2. What is the quantity of kerosene added?

Two numbers are in the ratio 5 : 7 and their sum is 144. Find the numbers.

A trader mixes two qualities of coffee. The first quality costs ₹240 per kg and is mixed with the second quality in the ratio 5:7. If the mixture is sold at ₹200 per kg (at no profit, no loss), what is the cost per kg of the second quality of coffee(to the nearest integer)?

The ratio of the radii of two cylinders is 2:3 and the ratio of their heights is 5:4. Find the ratio of their volumes.

Three numbers are such that the second is 120% of the first, and the third is 75% of the second. What is the ratio of the first to the third?

A bookstore ordered 10 boxes of hardcover books and some boxes of paperback books. Hardcovers cost twice as much per box as paperbacks. Due to an order error, the quantities were swapped, increasing the bill by 20%. What is the ratio of hardcover to paperback boxes originally?

Sector A has a radius of 4 cm and an angle of 60°. Sector B has a radius of 8 cm and an angle of 15°. Find the ratio of the area of Sector A to Sector B.

A sector of a circle has a central angle of 60° and a radius of 12 cm. Another sector of the same circle has a central angle of 𝜋/2 radians. What is the ratio of the area of the first sector to the area of the second sector?

P and Q invest ₹50,000 and ₹75,000 respectively in a business. What is P's share in a profit of ₹60,000?

Two numbers are in the ratio 5:7. If 9 is added to each, the new ratio becomes 8:11. What are the original numbers?

The surface area of a cuboid is 468 cm², and its dimensions are in the ratio 2:3:4. Find its volume.

A rhombus has diagonals in the ratio 3:4. If its area is 216 cm², find the diagonals.

If the side of a cube is tripled, what is the ratio of the new total surface area to the original, and the ratio of the new volume to the original volume?

Arun ordered 8 kg of type-A sugar and some additional kilograms of type-B sugar. Type-A costs twice as much per kg as type-B. When delivered, quantities were swapped, increasing the bill by 35%. Find the ratio of original type-A to type-B quantity.

A milkman mixes water with pure milk. If he sells the mixture at the cost price of pure milk and makes a profit of 25%, what is the ratio of water to milk in the mixture?

A cylinder and a hemisphere have the same radius. If their total surface areas are equal, find the ratio of the height of the cylinder to its radius.

P and Q start a business. P invests 3 times the capital of Q. After 7 months, P withdraws one-third of his capital, and Q doubles his capital. If the total duration of the business is 12 months and the total profit is ₹60,000, find Q's share.

Which of these is both a Natural number and a Rational number?

X, Y, and Z invested in a business in the ratio 3:4:8. After a year, the total profit is Rs. 1,50,000. What is Z's share?

Amit invested ₹1,50,000 in a business. After 5 months, Rajesh joined with ₹1,20,000. After 2 more months, Amit withdrew ₹60,000. Find their profit ratio at the end of the year.

A 40-litres mixture of acid and water contains acid and water in the ratio 3:1. 8 litres of this mixture is removed and replaced with another solution of acid and water in the ratio 1:3. What is the final ratio of acid to water in the resulting mixture?

Alloy X contains copper and zinc in ratio 3:2, and Alloy Y in ratio 4:5. If 15 kg of X and 18 kg of Y are melted together, find the ratio of copper to zinc in the new alloy.

A container holds three liquids X, Y, and Z in the ratio 3 : 4 : 5. If 8 liters of X, 10 liters of Y, and a certain amount of Z are added, the new ratio becomes 7 : 9 : 12 . Find the quantity (in liters) of Z added.

A cylinder and a cone have the same base radius and the same volume. What is the ratio of the height of the cylinder to the height of the cone?

A shopkeeper ordered 12 kg of premium coffee and some kg of regular coffee. The price of premium coffee per kg was three times that of regular coffee. Due to a billing mistake, the quantities of the two types were interchanged, which reduced the total bill by 30%. What was the ratio of the quantity of premium coffee to regular coffee in the original order?

Rajesh started a business by investing Rs.1,00,000. After 5 months, Suresh joined with Rs.1,50,000. At the end of 7 months from the start, Tushar joined with Rs.2,00,000. If the total profit is Rs.1,50,000 at the end of the year, find the share of Tushar (approximate).

A tank holds a mixture of Strawberry, Blueberry, and Raspberry juices in the ratio of 6:9:5 respectively. 40 litres of this mixture is taken out, and then 15 litres of strawberry juice and 10 litres of raspberry juice are added to the tank. If the resultant quantity of blueberry juice is 22 litres more than the resultant quantity of strawberry juice, what was the initial quantity of mixture(approximate) in the tank (in litres)?

Two spices priced at ₹80 per kg and ₹160 per kg are blended. They are sold at ₹140 per kg, achieving a profit margin of 25%. What is the ratio of the two spices in the mixture?

Creating a frustum, a right circular cone is sliced parallel to its base. The height of the original cone is 20 cm, and the cut is made 5 cm from the vertex. What is the ratio of the volumes of the frustum to that of the entire cone?

Sector A has a radius of 10 cm and a central angle of 120°. Sector B has the same radius but a central angle of $\frac{\pi }{3}$ radians. What is the ratio of the area of Sector A to the area of Sector B?

The set of rational numbers includes which of the following?

P and Q enter into a partnership. P invests Rs 90,000 for 8 months and Q invests Rs 1,50,000 for 5 months. If the total profit is Rs 50,000, what is Q's share (in Rs)?

A cone of height 12 cm is sliced by two planes parallel to the base at heights of 4 cm and 8 cm from the vertex. Find the ratio of the volumes of the three resulting sections (top:middle:bottom).

The incomes of three people are in the ratio 3:4:5. If each income increases by Rs. 2000, the new ratio becomes 5:6:7. What was the original income of the lowest earner?

A right circular cone having height of 40 cm is cut by two parallel planes at depths 10 cm and 20 cm from the top. What is the ratio of the volumes of the three parts (from top to bottom)?

A grocer wants to mix two types of wheat priced at Rs. 320/kg and Rs. 250/kg. In what ratio should they be mixed to sell the mixture at Rs. 280/kg without profit or loss?

An 80-litre mixture contains milk and water in the ratio 7:1. Some quantity of this mixture is removed and replaced with pure milk. If the final ratio of milk to water becomes 15:1, how many litres of the mixture were replaced?

Two concentric circles have circumferences in ratio 4:7. If smaller circle has area 80 m², what is the approximate area of the larger circle?

A 50-liter solution contains acid and water in the ratio 3:2. How much water must be added to make the ratio 1:1?

A sector has central angle 144° and radius 7 cm. Another sector with the same radius has a central angle 4π/5 radians. What is the ratio of their areas?

C and D invested in a business in the ratio 7:9. Their profit ratio was 14:15. If D invested his money for 10 months, for how many months did C invest?

A regular triangle and a regular hexagon have equal areas. What is the ratio of their sides?

The number of yellow, red, and blue pens in a box is in the ratio 2:5:7. If 18 yellow pens, 12 red pens, and some blue pens are added to the box, the ratio of yellow, red, and blue pens becomes 3:6:8. Determine the number of blue pens added.

Three friends share a winning prize in the ratio 3:5:7. If the total prize is Rs. 15000, how much more does the person with the highest share get than the lowest?

If m : n = 8 : 3, find (7m + 4n) : (7m - 4n).

The number of workers in two departments X and Y with different experience levels is shown in the table:What is the ratio of workers with < 10 years experience in Dept X to Dept Y?

Three friends, X, Y, and Z, invested in a start-up in the ratio 2:3:5. X managed the business and was entitled to an additional 15% of the total annual profit as a management fee. If the profit at the end of the year was Rs. 4,00,000, how much did Y receive?

If P : Q = 5 : 3, Q : R = 4 : 7, and R : S = 2 : 3, find the ratio P : S.

Raj and Priya started a business with Rs.1,50,000 and Rs.1,20,000 respectively. After 6 months, Priya invested an additional Rs.60,000 and Raj withdrew Rs.30,000. What is their profit-sharing ratio at the end of 1 year?

If P is 40% more than Q, and Q is 25% more than R, find the ratio P : R.

In a trapezium PQRS with PQ ∥ RS, the diagonals intersect at O. If PQ = 2RS, find the ratio of the area of △ POQ to the area of △ ROS.

What is the ratio of the interior angle of a regular hexagon to the interior angle of a regular 12-sided polygon (dodecagon)?

The speeds of two cyclists are in the ratio 4:3. If the slower cyclist has a 15 km head start, and his speed is 18 km/h, how far (in km) will the faster cyclist travel to overtake him?