Best Quiz on Percentage with Explanation

Percentage is a very important section for competitive exams.

Here are some important rules and concepts related to Percentages that you should know:

To express a given number as percent, multiply by 100 and in the same step attach the percentage symbol (%).

To express a given percent into a fraction, divide by 100, and in the same step remove the symbol of the percentage.

X Percent of Y: X% of Y = (X / 100) * Y

X Percent of X: X% of X = 100%

Increase Percentage: Increase % = (Increase / Original) * 100

Decrease Percentage: Decrease % = (Decrease / Original) * 100

Increasing a Number: New number = (1 + X/100) * Original

Decreasing a Number: New number = (1 – X/100) * Original

Quiz on Percentage

Percentage Test 1

1 / 10

A merchant bought a shirt for ₹200 and sold it for ₹280. What is the profit percentage?

A) 20%

B) 30%

C) 35%

D) 40%

Explanation: The profit is the selling price minus the cost price: ₹280 - ₹200 = ₹80. The profit percentage is (Profit / Cost Price) × 100 = (80 / 200) × 100 = 40%. Therefore, the correct answer is option B.

2 / 10

If an article is sold at a loss of 15% and the selling price is ₹170, what was the cost price?

A) ₹200

B) ₹180

C) ₹190

D) ₹150

Explanation: Let the cost price be CP. Selling price is ₹170, which is 85% of the cost price (100% - 15% loss). So, 85% of CP = ₹170. Solving for CP, we get CP = ₹170 / 0.85 = ₹200. Therefore, the correct answer is option A.

3 / 10

A trader sold two items for ₹1200 each. He gained 25% on the first item and lost 20% on the second item. What is the overall profit or loss percentage?

A) 2.5% profit

B) 2.5% loss

C) 5% profit

D) 5% loss

Explanation: For the first item, the profit is 25% of ₹1200 = ₹300. For the second item, the loss is 20% of ₹1200 = ₹240. Total profit is ₹300 - ₹240 = ₹60. The overall profit percentage is (Profit / Total Cost Price) × 100 = (60 / ₹2400) × 100 = 2.5%. Therefore, the correct answer is option A.

4 / 10

A laptop is bought for ₹800 and sold at a gain of 15%. To make a profit of 25%, at what price should it have been sold?

A) ₹900

B) ₹950

C) ₹1000

D) ₹1050

Explanation: Let the required selling price be SP. To make a profit of 25%, the selling price should be 125% of the cost price. So, 125% of ₹800 = ₹1000. Therefore, the correct answer is option C.

5 / 10

A book is sold at a loss of 10%. If it was sold for ₹270, what was its cost price?

A) ₹300

B) ₹290

C) ₹270

D) ₹250

Explanation: Let the cost price be CP. Selling price is ₹270, which is 90% of the cost price (100% - 10% loss). So, 90% of CP = ₹270. Solving for CP, we get CP = ₹270 / 0.9 = ₹300. Therefore, the correct answer is option A.

6 / 10

A retailer sells an item for ₹1800 at a loss of 20%. What was the cost price of the item?

A) ₹2200

B) ₹2000

C) ₹2400

D) ₹1800

Explanation: Let the cost price be CP. Selling price is ₹1800, which is 80% of the cost price (100% - 20% loss). So, 80% of CP = ₹1800. Solving for CP, we get CP = ₹1800 / 0.8 = ₹2000. Therefore, the correct answer is option B.

7 / 10

A dealer offers a discount of 12.5% on the marked price of an item. If the selling price is ₹880, what was the marked price?

A) ₹1000

B) ₹960

C) ₹900

D) ₹800

Explanation: Let the marked price be MP. Selling price is ₹880, which is 87.5% of the marked price (100% - 12.5% discount). So, 87.5% of MP = ₹880. Solving for MP, we get MP = ₹880 / 0.875 = ₹1000. Therefore, the correct answer is option A.

8 / 10

A watch is bought for ₹600 and sold at a loss of 10%. What is the selling price?

A) ₹540

B) ₹580

C) ₹620

D) ₹660

Explanation: Selling price = Cost Price - Loss, which is ₹600 - 10% of ₹600 = ₹540. Therefore, the correct answer is option A.

9 / 10

A shirt is sold for ₹750 at a profit of 25%. What is the cost price of the shirt?

A) ₹500

B) ₹600

C) ₹625

D) ₹700

Explanation: Let the cost price be CP. Selling price is ₹750, which is 125% of the cost price (100% + 25% profit). So, 125% of CP = ₹750. Solving for CP, we get CP = ₹750 / 1.25 = ₹600. Therefore, the correct answer is option B.

10 / 10

A vendor sells two mobile phones at the same price. He sells one at a gain of 20% and the other at a loss of 20%. What is the overall profit or loss percentage?

A) 2% loss

B) 4% loss

C) No profit, no loss

D) 2% profit

Explanation: The gain on one phone is offset by the loss on the other. Hence, there is no net profit or loss. Therefore, the correct answer is option C.

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Percentage Test 2

1 / 10

A shopkeeper marks the price of an item at ₹1200, but he offers a discount of 15%. What is the selling price?

A) ₹1000

B) ₹1020

C) ₹1050

D) ₹1140

Explanation: Selling price = Marked Price - Discount, which is ₹1200 - 15% of ₹1200 = ₹1020. Therefore, the correct answer is option B.

2 / 10

A trader buys 100 pens for ₹500 and sells 80 of them at a profit of 25%. At what percentage profit should he sell the remaining pens to make an overall profit of 20%?

A) 16%

B) 20%

C) 25%

D) 30%

Explanation: The trader wants an overall profit of 20%, and he has already made a profit of 25% on 80 pens. The remaining 20 pens should make up for the remaining 5% profit. So, the required profit percentage is 5% / 20 pens = 0.25% per pen. Converting to percentage, it's approximately 16%. Therefore, the correct answer is option A.

3 / 10

A shopkeeper sells an item for ₹3600 at a profit of 20%. What was the cost price of the item?

A) ₹3000

B) ₹3200

C) ₹3400

D) ₹3500

Explanation: Let the cost price be CP. Selling price is ₹3600, which is 120% of the cost price (100% + 20% profit). So, 120% of CP = ₹3600. Solving for CP, we get CP = ₹3600 / 1.2 = ₹3200. Therefore, the correct answer is option B.

4 / 10

A car was bought for ₹800,000 and sold at a loss of 15%. What is the selling price?

A) ₹680,000

B) ₹760,000

C) ₹840,000

D) ₹880,000

Explanation: Selling price = Cost Price - Loss, which is ₹800,000 - 15% of ₹800,000 = ₹680,000. Therefore, the correct answer is option A.

5 / 10

A dealer purchased a smartphone for ₹10,000 and sold it at a profit of 10%. What was the selling price?

A) ₹10,500

B) ₹11,000

C) ₹11,500

D) ₹12,000

Explanation: Selling price = Cost Price + Profit, which is ₹10,000 + 10% of ₹10,000 = ₹11,000. Therefore, the correct answer is option B.

6 / 10

A bookshop offers a discount of 20% on a book priced at ₹500. What is the selling price after the discount?

A) ₹400

B) ₹420

C) ₹440

D) ₹480

Explanation: Selling price = Marked Price - Discount, which is ₹500 - 20% of ₹500 = ₹440. Therefore, the correct answer is option C.

7 / 10

A trader bought 50 kg of rice for ₹2000 and sold it at a loss of 10%. What was the selling price per kg?

A) ₹36

B) ₹38

C) ₹40

D) ₹42

Explanation: Selling price per kg = Cost Price per kg - Loss per kg, which is ₹2000 / 50 kg - 10% of ₹2000 / 50 kg = ₹40. Therefore, the correct answer is option C.

8 / 10

A mobile phone was sold for ₹4500, resulting in a loss of 25%. What was the cost price of the mobile phone?

A) ₹5500

B) ₹6000

C) ₹5200

D) ₹4500

Explanation: Let the cost price be CP. Selling price is ₹4500, which is 75% of the cost price (100% - 25% loss). So, 75% of CP = ₹4500. Solving for CP, we get CP = ₹4500 / 0.75 = ₹6000. Therefore, the correct answer is option B.

9 / 10

A retailer sold an item at a profit of 18%. If the selling price was ₹1800, what was the cost price?

A) ₹1400

B) ₹1520

C) ₹1600

D) ₹1700

Explanation: Let the cost price be CP. Selling price is ₹1800, which is 118% of the cost price (100% + 18% profit). So, 118% of CP = ₹1800. Solving for CP, we get CP = ₹1800 / 1.18 = ₹1600. Therefore, the correct answer is option C.

10 / 10

A bicycle was sold for ₹2400 at a loss of 20%. What was its cost price?

A) ₹2500

B) ₹2800

C) ₹3000

D) ₹3200

Explanation: Let the cost price be CP. Selling price is ₹2400, which is 80% of the cost price (100% - 20% loss). So, 80% of CP = ₹2400. Solving for CP, we get CP = ₹2400 / 0.8 = ₹3200. Therefore, the correct answer is option D.

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Percentage Test 3

1 / 10

A retailer marked an item at a 25% higher price than its cost price. If the cost price is ₹800, what is the marked price?

A) ₹1000

B) ₹900

C) ₹1100

D) ₹950

Explanation: Marked price = Cost Price + 25% of Cost Price = ₹800 + 25% of ₹800 = ₹800 + ₹200 = ₹1000. Therefore, the correct answer is option A.

2 / 10

A shopkeeper sells an item for ₹2250 at a profit of 20%. What was the cost price of the item?

A) ₹1800

B) ₹1900

C) ₹2000

D) ₹2100

Explanation: Let the cost price be CP. Selling price is ₹2250, which is 120% of the cost price (100% + 20% profit). So, 120% of CP = ₹2250. Solving for CP, we get CP = ₹2250 / 1.20 = ₹1875. Therefore, the correct answer is option B.

3 / 10

A trader bought a painting for ₹12000 and sold it for ₹15000. What is the profit percentage?

A) 20%

B) 25%

C) 30%

D) 33.33%

Explanation: The profit is the selling price minus the cost price: ₹15000 - ₹12000 = ₹3000. The profit percentage is (Profit / Cost Price) × 100 = (₹3000 / ₹12000) × 100 = 25%. Therefore, the correct answer is option B.

4 / 10

A shopkeeper sells 3 shirts at the cost price of 4 shirts. What is the profit percentage?

A) 0%

B) 25%

C) 33.33%

D) 50%

Explanation: Let the cost price of 1 shirt be CP. Cost price of 3 shirts is 3 * CP. Selling price of 3 shirts is also 3 * CP (as they are sold at cost price of 4 shirts). Profit is 3 * CP - 3 * CP = 0. Profit percentage is (Profit / Cost Price) × 100 = (0 / 3 * CP) × 100 = 0%. Therefore, the correct answer is option A.

5 / 10

A trader bought 120 pencils for ₹300 and sold 90 of them at a profit of 25%. At what percentage profit should he sell the remaining pencils to make an overall profit of 20%?

A) 28%

B) 32%

C) 35%

D) 40%

Explanation: The trader wants an overall profit of 20%, and he has already made a profit of 25% on 90 pencils. The remaining 30 pencils should make up for the remaining 5% profit. So, the required profit percentage is 5% / 30 pencils = 1/6 = 16.67%. Converting to percentage, it's approximately 28%. Therefore, the correct answer is option A.

6 / 10

A mobile phone was sold for ₹2400 at a profit of 20%. What was its cost price?

A) ₹2000

B) ₹2200

C) ₹2500

D) ₹2600

Explanation: Let the cost price be CP. Selling price is ₹2400, which is 120% of the cost price (100% + 20% profit). So, 120% of CP = ₹2400. Solving for CP, we get CP = ₹2400 / 1.20 = ₹2000. Therefore, the correct answer is option A.

7 / 10

A trader sells an item for ₹900 at a loss of 10%. What was the cost price of the item?

A) ₹990

B) ₹1000

C) ₹1001

D) ₹1010

Explanation: Let the cost price be CP. Selling price is ₹900, which is 90% of the cost price (100% - 10% loss). So, 90% of CP = ₹900. Solving for CP, we get CP = ₹900 / 0.90 = ₹990. Therefore, the correct answer is option A.

8 / 10

A shopkeeper sells an item for ₹4000 at a loss of 20%. To make a profit of 25%, at what price should he have sold it?

A) ₹5000

B) ₹5250

C) ₹6000

D) ₹6250

Explanation: Let the required selling price be SP. To make a profit of 25%, the selling price should be 125% of the cost price. So, 125% of ₹4000 = ₹5000. Therefore, the correct answer is option A.

9 / 10

A toy is sold for ₹750 at a loss of 10%. What was the cost price of the toy?

A) ₹800

B) ₹850

C) ₹825

D) ₹770

Explanation: Let the cost price be CP. Selling price is ₹750, which is 90% of the cost price (100% - 10% loss). So, 90% of CP = ₹750. Solving for CP, we get CP = ₹750 / 0.90 = ₹825. Therefore, the correct answer is option C.

10 / 10

A trader sells a bicycle for ₹4800 at a profit of 20%. What was the cost price of the bicycle?

A) ₹4000

B) ₹4200

C) ₹4500

D) ₹5000

Explanation: Let the cost price be CP. Selling price is ₹4800, which is 120% of the cost price (100% + 20% profit). So, 120% of CP = ₹4800. Solving for CP, we get CP = ₹4800 / 1.20 = ₹4200. Therefore, the correct answer is option B.

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Percentage Test 4

1 / 10

A merchant sold a shirt for ₹720, incurring a loss of 10%. What was the cost price of the shirt?

A) ₹800

B) ₹800

C) ₹750

D) ₹800

Explanation: Let the cost price be CP. Selling price is ₹720, which is 90% of the cost price (100% - 10% loss). So, 90% of CP = ₹720. Solving for CP, we get CP = ₹720 / 0.90 = ₹800. Therefore, the correct answer is option B.

2 / 10

A trader bought a laptop for ₹45000 and sold it for ₹54000. What is the profit percentage?

A) 10%

B) 15%

C) 20%

D) 25%

Explanation: The profit is the selling price minus the cost price: ₹54000 - ₹45000 = ₹9000. The profit percentage is (Profit / Cost Price) × 100 = (₹9000 / ₹45000) × 100 = 20%. Therefore, the correct answer is option C.

3 / 10

A merchant sold a TV for ₹10,800, incurring a loss of 15%. What was the cost price of the TV?

A) ₹12,500

B) ₹12,800

C) ₹12,000

D) ₹13,000

Explanation: Let the cost price be CP. Selling price is ₹10,800, which is 85% of the cost price (100% - 15% loss). So, 85% of CP = ₹10,800. Solving for CP, we get CP = ₹10,800 / 0.85 = ₹12,000. Therefore, the correct answer is option C.

4 / 10

If the price of a product is increased by 16% and the new price is ₹1160, what was the original price?

A) ₹1000

B) ₹1002

C) ₹1050

D) ₹1052

Explanation: Let the original price be OP. After a 16% increase, the new price is 116% of the original price (100% + 16% increase). So, 116% of OP = ₹1160. Solving for OP, we get OP = ₹1160 / 1.16 ≈ ₹1002.

5 / 10

If a company's profits increased from ₹500,000 in the first year to ₹560,000 in the second year, what is the percentage increase in profit?

A) 12%

B) 10%

C) 8%

D) 15%

Explanation: The increase in profit is ₹560,000 - ₹500,000 = ₹60,000. The percentage increase is (Increase / Original Amount) × 100 = (₹60,000 / ₹500,000) × 100 = 12%.

Therefore, the correct answer is option A.

6 / 10

The price of a commodity decreases by 10% every year. What is the net percentage decrease in its price after three years?

A) 27.1%

B) 27.2%

C) 27.3%

D) 27.4%

Explanation: To calculate the net percentage decrease, we use the compound interest formula for percentage decrease:

Net Percentage Decrease = [1 - ((1 - Rate)^Number of Years)] * 100

Here, Rate = 10% = 0.10, Number of Years = 3.

Net Percentage Decrease = [1 - ((1 - 0.10)^3)] * 100 ≈ 27.2%

Therefore, the correct answer is option B.

7 / 10

If a company's revenue increased from ₹1,000,000 in the first year to ₹1,200,000 in the second year, what is the percentage increase in revenue?

A) 20%

B) 18%

C) 16%

D) 22%

Explanation: The increase in revenue is ₹1,200,000 - ₹1,000,000 = ₹200,000. The percentage increase is (Increase / Original Amount) × 100 = (₹200,000 / ₹1,000,000) × 100 = 20%.

Therefore, the correct answer is option A.

8 / 10

The price of a product decreases by 8% every year. What is the net percentage decrease in its price after three years?

A) 21.02%

B) 21.06%

C) 21.08%

D) 21.12%

Explanation: To calculate the net percentage decrease, we use the compound interest formula for percentage decrease:

Net Percentage Decrease = [1 - ((1 - Rate)^Number of Years)] * 100

Here, Rate = 8% = 0.08, Number of Years = 3.

Net Percentage Decrease = [1 - ((1 - 0.08)^3)] * 100 ≈ 21.06%

Therefore, the correct answer is option B.

9 / 10

An item was originally priced at ₹800. During a sale, its price was reduced by 30%. What is the sale price?

A) ₹560

B) ₹600

C) ₹700

D) ₹720

To find the sale price, apply a discount of 30% to the original price: ₹800 * 0.70 = ₹560. Thus, the correct answer is A) ₹560.

10 / 10

The value of a machine depreciated by 12% every year. If its initial value was ₹50,000, what will be its value after 4 years?

A) ₹30,240

B) ₹33,632

C) ₹31,360

D) ₹28,672

After each year, the value reduces by 12%. So, after 4 years, the value is ₹50000 * (1 - 0.12)^4 ≈ ₹28672. Thus, the correct answer is D) ₹28,672.

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Percentage Test 5

1 / 10

A bookstore offers a discount of 20% on all books. If a customer buys books worth ₹2,500, how much will the customer pay after the discount?

A) ₹2,000

B) ₹2,250

C) ₹2,400

D) ₹2,100

The discounted price is calculated by applying a 20% discount: ₹2500 * 0.80 = ₹2000. Thus, the correct answer is A) ₹2,000.

2 / 10

A shopkeeper marked up an item by 25% and then offered a discount of 10%. If the final selling price is ₹900, what was the cost price of the item?

A) ₹720

B) ₹800

C) ₹750

D) ₹850

Let 'x' be the cost price. After the 25% markup, the selling price becomes 1.25x. After a 10% discount, the selling price becomes 0.90 * 1.25x = 1.125x. Solve for 'x': 1.125x = ₹900, x = ₹800. Thus, the correct answer is B) ₹800.

3 / 10

In a town, the population increased from 25,000 to 31,250. What was the percentage increase?

A) 20%

B) 25%

C) 18%

D) 30%

Percentage increase is calculated using the formula: ((New Value - Old Value) / Old Value) * 100%. ((31250 - 25000) / 25000) * 100% = 25%. Thus, the correct answer is B) 25%.

4 / 10

A car's value decreased by 8% in the first year and then increased by 10% in the second year. If the initial value was ₹6,00,000, what is the value after the two years?

A) ₹6,40,000

B) ₹6,28,800

C) ₹6,48,000

D) ₹6,20,000

After the first year, the value becomes ₹600000 * 0.92 = ₹552000. After the second year, the value becomes ₹552000 * 1.10 = ₹607200. Thus, the correct answer is B) ₹6,28,800.

5 / 10

A company's profits decreased by 10% in the first quarter and then increased by 25% in the second quarter. If the company made ₹2,40,000 profit in the first quarter, what was the profit after the second quarter?

A) ₹2,76,000

B) ₹2,90,000

C) ₹2,80,000

D) ₹2,70,000

In the first quarter, the profit decreased by 10%: ₹2,40,000 * 0.90 = ₹2,16,000. In the second quarter, the profit increased by 25%: ₹2,16,000 * 1.25 = ₹2,70,000. Thus, the correct answer is D) ₹2,70,000.

6 / 10

A machine's value depreciated by 20% each year. If its initial value was ₹1,00,000, what will be its value after 3 years?

A) ₹51,200

B) ₹51,840

C) ₹48,000

D) ₹50,400

After each year, the value reduces by 20%. So, after 3 years, the value is ₹1,00,000 * (1 - 0.20)^3 ≈ ₹51,200. Thus, the correct answer is A) ₹51,200.

7 / 10

A bike's value depreciates by 8% every year. If its initial value was ₹75,000, what will be its value after 5 years?

A) ₹51,750

B) ₹54,000

C) ₹52,650

D) ₹50,500

After each year, the value reduces by 8%. So, after 5 years, the value is ₹75,000 * (1 - 0.08)^5 ≈ ₹50,500. Thus, the correct answer is D) ₹50,500.

8 / 10

A store offers a discount of 25% on the marked price of an item. If a customer pays ₹2,100 for the item, what is the marked price?

A) ₹2,600

B) ₹2,800

C) ₹2,750

D) ₹2,850

Let 'x' be the marked price. The selling price after a 25% discount is 75% of the marked price: 0.75x = ₹2100, x = ₹2800. Thus, the correct answer is B) ₹2,800.

9 / 10

A student scored 85% in one exam and 90% in another exam. What is the average percentage score?

A) 87.5%

B) 88%

C) 88.5%

D) 89%

To calculate the average, add the two percentages and divide by the number of scores (2). (85% + 90%) / 2 = 87.5%. Therefore, the correct answer is A) 87.5%.

10 / 10

In a town, the population increased by 12% in the first year and then decreased by 8% in the second year. If the initial population was 60,000, what is the population after the two years?

A) 64,320

B) 61,920

C) 64,800

D) 62,640

After the first year, the population becomes 112% of the initial population: 1.12 * 60000 = 67200. After the second year, the population becomes 92% of 67200: 0.92 * 67200 ≈ 61824 ≈ 61,920. Thus, the correct answer is B) 61,920.

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