Quantitative Aptitude

Profit, Loss and Discount

2,604 Questions
All Basic CP/SP Percentage Relationship 874 Marked Price, Markup, and Discount 786 Partial Sales and Multiple Transactions 338 Successive Discounts 218 Cost Price of X = Selling Price of Y 180 Faulty Weight or Measure 126 Equal Profit and Loss Rates 57 Free-item Offers 23 Price and Consumption Variation 1

Profit, Loss and Discount Questions

Multiple choice

The cost price of a laptop is Rs 1500 more than the cost price of a mobile. The mobile and laptop are sold at 20% profit and 24% profit respectively. If the difference between the selling price of the mobile and the laptop is Rs 2400, then find the cost price of the mobile?

  1. 12000

  2. 12600

  3. 15000

  4. 13500
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let mobile CP be x. Then laptop CP = x + 1500. Mobile SP at 20% profit = 1.2x. Laptop SP at 24% profit = 1.24(x + 1500) = 1.24x + 1860. Difference = (1.24x + 1860) - 1.2x = 0.04x + 1860 = 2400. Solving: 0.04x = 540, so x = 13500.

Multiple choice

On selling a air conditioner at 6% profit and a washing machine at 9% profit, a shopkeeper gains ₹ 5100. However, if the shopkeeper sells the air conditioner at 9 % profit and the washing machine at 6% loss, he gains ₹ 1800 on the whole transaction. The cost price of the washing machine is:

  1. ₹ 39000

  2. ₹ 37000

  3. ₹ 34000

  4. ₹ 30000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let AC be cost of air conditioner and WM be cost of washing machine. First case: 0.06AC + 0.09WM = 5100. Second case: 0.09AC - 0.06WM = 1800. Multiplying first eq by 3 and second by 2, then adding eliminates AC: 0.45WM = 13500, so WM = 30000.

Multiple choice

A shopkeeper bought 1200 meters of wire at ₹ 5.50 per meter. He sold 60% of it at 10% profit. At what percent profit should he sell the remaining part so that he gets 12% profit on the whole article?

  1. 15 %

  2. 14 %

  3. 13 %

  4. 12 %
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total cost = 1200 × 5.50 = ₹6600. Target 12% profit = ₹6600 × 1.12 = ₹7392. First 60% (720m) sold at 10% profit: revenue = 720 × 5.50 × 1.10 = ₹4356. Remaining 40% (480m) must generate ₹7392 - ₹4356 = ₹3036. Cost of remaining wire = 480 × 5.50 = ₹2640. Required profit percentage = (3036 - 2640)/2640 × 100 = 15%.

Multiple choice

Sangram buys a certain number of toys at 12 per Rs 9 and the same number at 18 per Rs 9. If he sells them at 18 per Rs 15 does he gain or lose and by what percentage?

  1. 37.5% profit

  2. 37.5% loss

  3. 33.33% profit

  4. 33.33% loss

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost of N toys from first batch: Rs (9/12)*N = 0.75N. Cost of N toys from second batch: Rs (9/18)*N = 0.5N. Total cost = 1.25N for 2N toys. Selling at Rs 15 per 18 toys = Rs 5/6 per toy. Revenue = 2N * 5/6 = 5N/3. Profit = 5N/3 - 5N/4 = 5N/12. Profit% = (5N/12)/(5N/4) * 100 = 33.33%.

Multiple choice

An article is sold at 10 percent loss. If its cost price is decreased by Rs 5 and selling price is increased by Rs 8 , then profit of 10 percent is earned on it. What is the original cost price of the article?

  1. Rs. 68.5

  2. Rs. 67.5

  3. Rs. 62.5

  4. Rs. 60.75
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original CP = x. Selling at 10% loss means SP = 0.9x. New CP = x - 5, new SP = 0.9x + 8. New profit is 10% of new CP, so new SP = 1.1(x - 5). Setting up: 0.9x + 8 = 1.1(x - 5). Solving: 0.9x + 8 = 1.1x - 5.5, which gives 13.5 = 0.2x, so x = 67.5. The Rs. 5 decrease in CP and Rs. 8 increase in SP together improve the profit margin by 20% of original CP.

Multiple choice

A shopkeeper allows 25% discount on marked price and earn 30% profit, If he gets rupees Rs. 270 as profit. Find the amount of the discount.

  1. Rs. 300

  2. Rs. 320

  3. Rs. 340

  4. Rs. 390
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

First find the cost price from the profit: Rs. 270 is 30% of CP, so CP = Rs. 900. The selling price is 130% of CP = Rs. 1170. This is 75% of marked price (after 25% discount), so MP = Rs. 1560. The discount amount is Rs. 1560 - Rs. 1170 = Rs. 390.

Multiple choice

If the discount offered on a product is 25% and the markup percentage is 50% , then what is the ratio of marked price to the selling price?
  1. $4 : 3$
  2. $5 : 2$
  3. $8 : 5$
  4. $2 : 1$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let cost price = CP. Markup 50% means Marked Price MP = CP + 50% of CP = 1.5 CP. Discount 25% on MP means Selling Price SP = MP - 25% of MP = 0.75 MP = 0.75 × 1.5 CP = 1.125 CP. Ratio MP:SP = 1.5 CP : 1.125 CP = 1.5 : 1.125 = 1500 : 1125 = 4 : 3. Option A is correct.

Multiple choice

A shopkeeper bought a chair at a fixed price from a manufacturer. He sold the chair in his shop at a P% profit. If he had bought a chair at a 20% lower price from the manufacturer and sold the item at (P + 5)% profit, the difference between the two selling prices of the chair would have been Rs. 357. If the new selling price is Rs. 1768, find the original cost price.

  1. 1500

  2. 1700

  3. 1850

  4. 1750

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

B is correct. Let original CP = 1700 and P = 25%. Original SP = 1700 × 1.25 = 2125. New CP = 0.8 × 1700 = 1360. New SP at (25+5)% = 1360 × 1.30 = 1768. Difference = 2125 - 1768 = 357, which matches given condition. Other CP values (1500, 1750, 1850) don't satisfy both equations simultaneously.

Multiple choice

The difference between the cost price and selling price of a pair of shoes is Rs. 1,200 . If the profit is 15%, the selling price is:

  1. Rs. 8,200

  2. Rs. 9,200

  3. Rs. 8,000

  4. Rs. 9,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Use the profit formula. If CP is x, then SP = x + 1200. Since profit is 15%, we have 1200/x = 0.15, giving CP = Rs. 8,000. Therefore SP = 8000 + 1200 = Rs. 9,200. Option A (Rs. 8,200) would require CP = 7000, giving profit percentage of 1200/7000 ≈ 17.1%, not 15%.

Multiple choice

The marked price of a chair is 30 percent more than its cost price. If the chair is sold for Rs. 200 after a discount of Rs. 40, then what will be the profit percentage?

  1. 8.34 percent

  2. 7.28 percent

  3. 9.66 percent

  4. 8.13 percent
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = x. Marked Price = 1.3x (30% more than CP). Selling Price = Rs. 200 (after discount of Rs. 40, so MP was Rs. 240). Therefore 1.3x = 240, giving CP = 240/1.3 = Rs. 184.62. Profit = 200 - 184.62 = Rs. 15.38. Profit % = (15.38/184.62) × 100 = 8.33% (approximately), confirming option A.

Multiple choice

If 60 percent of total articles are sold at a loss of 20 percent and remaining articles are sold at a profit of 5 percent, then what will be the overall loss percentage?

  1. 10 percent

  2. 8 percent

  3. 14 percent

  4. 5 percent
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total articles = 100. 60 sold at 20% loss means revenue = 60 × 0.8 = 48. 40 sold at 5% profit means revenue = 40 × 1.05 = 42. Total revenue = 48 + 42 = 90. Loss = 100 - 90 = 10, which is 10%. The answer is A.