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

A retailer purchases a wireless earbuds set for Rs. 2,400. At a fixed list price, it is usually sold with a discount that gives the retailer a 15% profit on cost. During a festival sale, the discount was doubled, and the profit in that case was Rs. 120. The discount rate (%) at which the profit percentage equals the discount percentage is closest to

  1. 8

  2. 9

  3. 11

  4. 13
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost = 2400. 15% profit = 360. Selling price = 2760. Let list price be L and discount be D. Usually, L(1-D) = 2760. During sale, L(1-2D) = 2400 + 120 = 2520. Solving these gives D = 0.11 or 11%.

Multiple choice

Priya buys a smartwatch for Rs. 2,000 and sells it to Neha at a profit of 25%. Later, Neha returns the smartwatch to Priya at a loss of 25%. Eventually, Priya sells the same smartwatch to Rohan. If the total profit Priya earns from all these transactions is Rs. 1,200, then what was the percentage profit Priya made on the final sale to Rohan?

  1. 27.33%

  2. 31.33%

  3. 37.33%

  4. 47.33%

  5. a
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Priya buys at 2000. Sells to Neha at 2500 (25% profit). Neha sells back to Priya at 25% loss of 2500, which is 1875. Priya now has the watch at cost 1875. Total profit = 1200. Profit from first sale = 500. Profit from final sale = 1200 - 500 = 700. Final sale price = 1875 + 700 = 2575. Profit % = (700/1875) * 100 = 37.33%.

Multiple choice

A shopkeeper sells a watch for Rs. 1,500 and incurs a loss of 20%. Later, the shopkeeper sells the same model of watch having the same cost price for Rs. 2,100. What is the percentage profit made on the second sale (based on the actual cost price)?

  1. 8%

  2. 10%

  3. 12%

  4. 15%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A loss of 20% means the selling price of 1,500 is 80% of the cost price. Thus, cost price = 1,500 / 0.8 = 1,875. Selling the watch for 2,100 results in a profit of 2,100 - 1,875 = 225. The profit percentage is (225 / 1,875) * 100 = 12%.

Multiple choice

A toy manufacturer produces toys at a cost of $15 each and sells them at a 40% markup on cost during the regular season. During the holiday season, the manufacturer offers a 25% discount on the selling price to boost sales volume. If the manufacturer's overall markup on cost for all toys sold is 30 percent, what percent of the total units were sold during the holiday season?

  1. 22.6%

  2. 26.8%

  3. 28.6%

  4. 62.8%

  5. 68.2%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost = 15. Regular price = 15 * 1.4 = 21. Holiday price = 21 * 0.75 = 15.75. Overall markup = 30%, so average selling price = 15 * 1.3 = 19.5. Let x be the fraction of units sold during the holiday. 21(1-x) + 15.75x = 19.5. 21 - 21x + 15.75x = 19.5. 1.5 = 5.25x. x = 1.5 / 5.25 = 150 / 525 = 2/7 approx 0.2857 or 28.6%.

Multiple choice

An article is marked up by 70% above its cost price. A customer is then given successive discounts of 5% and 20% on the marked price. If the customer pays in cash, an additional 20% discount is offered. What is the seller's overall gain percentage?

  1. 2.25%

  2. 4.36%

  3. 3.25%

  4. 3.36%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = 100. MP = 170. After 5% and 20% discounts: 170 * 0.95 * 0.80 = 129.2. After additional 20% cash discount: 129.2 * 0.80 = 103.36. Gain = 3.36%.

Multiple choice

A shopkeeper marks an article 40% above its cost price. He offers a two-stage discount — first a 10% discount, and then an additional 5% discount. Find his overall profit percentage if the cost price is ₹200.

  1. 26.8%

  2. 30%

  3. 25.4%

  4. 19.7%

  5. 14.5%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

CP = 200. Marked Price = 200 * 1.4 = 280. First discount 10%: 280 * 0.9 = 252. Second discount 5%: 252 * 0.95 = 239.4. Profit = 239.4 - 200 = 39.4. Profit % = (39.4 / 200) * 100 = 19.7%.

Multiple choice

A dealer sells his goods at 10% profit butuses a weight of 800g instead of 1kg. Find histotal profit percentage.

  1. A.30

  2. B.37.5

  3. C.25

  4. D.40

  5. E.38
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The dealer sells 800g for the price of 1000g, gaining 200g profit on 800g cost, which is 25%. Additionally, there is a 10% profit on the selling price. Using the formula (Profit% + Gain%)/(100 - Gain%) * 100, we get (10 + 25)/(100 - 25) * 100 = 35/75 * 100 = 46.66%. However, standard interpretation of this problem type (10% profit on cost + 25% gain from weight) often uses (1.10 * 1.25) - 1 = 0.375 or 37.5%.