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 product increases by 10%, but the selling price of the product does not change and the profit decreases by 20%. What is the present profit percentage earned on the product?

  1. 25%

  2. 33.33%

  3. 36%

  4. 36.36%

  5. 44.54%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP=100, SP=S, Profit=P=S-100. New CP=110, New Profit=0.8P=S-110. P = S-100 => S=P+100. Substitute: 0.8P = P+100-110 = P-10. 0.2P = 10, P=50. Original profit = 50%. New profit = 0.8*50 = 40. New CP = 110. Profit % = (40/110)*100 = 36.36%.

Multiple choice

The price of a jewel, passing through three sellers, rises cumulatively by 70%. If the first two sellers earn profits of 20% and 25%, then the percentage of profit earned by the third seller will be

  1. 20%

  2. 25%

  3. 6.67%

  4. 13.33%

  5. 30%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial price be 100. Final price = 170. Let x be the third seller's profit. 100 * 1.20 * 1.25 * (1 + x) = 170. 150 * (1 + x) = 170. 1 + x = 170/150 = 1.1333. x = 0.1333 or 13.33%.

Multiple choice

The marked price of an article is Rs. 20,000. If the first shopkeeper gives successive discounts of 20%, 20% and 10%, and the second shopkeeper gives successive discounts of 20%, 16% and 14%, then which of the following is correct?

  1. First shopkeeper gives a better offer.

  2. Second shopkeeper gives a better offer.

  3. Both of them give the same offer.

  4. SP of both the shopkeepers is the same.

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

Shop 1: (1-0.2)(1-0.2)(1-0.1) = 0.8*0.8*0.9 = 0.576 (42.4% discount). Shop 2: (1-0.2)(1-0.16)(1-0.14) = 0.8*0.84*0.86 = 0.57792 (42.208% discount). Shop 1 gives a larger discount.

Multiple choice

A man purchased some fruits, out of which 20% were damaged. So, he sold the damaged fruits for half of the market price and sold the rest at the market price. Finally, he got 25% profit. What percentage is the market price more than the cost price?

  1. 30%

  2. 39%

  3. 50%

  4. 59%

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100 per unit. 20 units damaged, 80 units good. Sold 20 at 0.5M and 80 at M. Total revenue = 90M. Profit 25% means total revenue = 125. 90M = 125, M = 125/90 = 1.388. Market price is 38.8% more than cost price.

Multiple choice

The cost price of a table is Rs. 3200. A merchant wants to make 25% profit by selling it. At the time of sale, he declares a discount of 20% on the marked price. The marked price (in Rs.) is

  1. 5000

  2. 6000

  3. 4000

  4. 4500
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost Price = 3200. Profit = 25% of 3200 = 800. Selling Price = 3200 + 800 = 4000. Discount = 20% of Marked Price (MP). Selling Price = MP - 0.2*MP = 0.8*MP. 4000 = 0.8*MP, so MP = 4000 / 0.8 = 5000.