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 magazine distributor made 5500 copies of the May issue of a magazine at a cost of Rs. 5,50,000. He gave 500 copies for free to some libraries. He also allowed a 25% discount on the market price of the magazine and gave one extra copy free with every 49 copies bought at a time. In this manner, he was able to sell all the 5500 copies that were produced. If the market price of a copy was Rs. 200, then what was his gain or loss percent for the May issue of the magazine?

  1. 25% gain

  2. 33.6% gain

  3. 40% loss

  4. 26.8% loss

  5. 50% loss
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total cost = 550,000. 500 copies free, 5000 sold. With 1 free per 49 bought, 5000 copies sold means 4900 paid for and 100 free. Total copies distributed = 500 (libraries) + 4900 (paid) + 100 (bonus) = 5500. Revenue = 4900 * (200 * 0.75) = 4900 * 150 = 735,000. Gain = 735,000 - 550,000 = 185,000. Gain % = (185,000 / 550,000) * 100 = 33.63%.

Multiple choice

In a food bazaar, the profit is 300% of the cost. Due to the demand, the cost of food products increases by 25%, but the selling price remains the same. What percentage of the selling price will be the profit?

  1. 68%

  2. 68.75%

  3. 60%

  4. 65.75%

  5. 69.75%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let cost = 100. Profit = 300, so Selling Price = 400. New cost = 125. Selling Price remains 400. New profit = 400 - 125 = 275. Profit percentage of selling price = (275 / 400) * 100 = 68.75%.

Multiple choice

A shopkeeper sells an article at a loss of 5%. When the selling price of the article is increased by Rs. 65, he gains 3.33% on the cost price. What will be the profit percentage if the shopkeeper sells the same article for Rs. 936?

  1. 20%

  2. 24%

  3. 28%

  4. 30%

  5. 32%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Loss 5% means SP = 0.95 * CP. Gain 3.33% (1/30) means SP + 65 = 1.0333 * CP. 1.0333 * CP - 0.95 * CP = 65 => 0.0833 * CP = 65 => CP = 65 / 0.0833 = 780. Selling for 936: Profit = 936 - 780 = 156. Profit % = (156/780) * 100 = 20%.

Multiple choice

Bharat bought 5 watches for Rs. 1000 each and he spent Rs. 1000 on the repair of all the watches. Now, he sold three of them for Rs. 1100 each and the remaining for Rs. 850 each. Find his total gain or loss percent.

  1. Gain 8.3%

  2. Loss 8.3%

  3. Gain 16.6%

  4. Loss 16.6%

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

Total Cost = (5 * 1000) + 1000 = 6000. Total Revenue = (3 * 1100) + (2 * 850) = 3300 + 1700 = 5000. Loss = 6000 - 5000 = 1000. Loss % = (1000 / 6000) * 100 = 16.66%.

Multiple choice

Kajal sells a dog to Anu at a profit of 20%. Anu sells it to Sumit for Rs. 69 at a profit of 38%. What profit percent would Kajal have made if she had sold it directly to Sumit for Rs. 69?

  1. 65.6

  2. 55.5

  3. 45.3

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

Kajal to Anu: CP_K = 100, SP_K = 120. Anu to Sumit: CP_A = 120, Profit = 38% of 120 = 45.6. SP_A = 120 + 45.6 = 165.6. Given SP_A = 69. So 165.6 units = 69, 1 unit = 69/165.6 = 0.4166. CP_K = 100 * 0.4166 = 41.66. If Kajal sold to Sumit for 69, profit = 69 - 41.66 = 27.34. Profit % = (27.34 / 41.66) * 100 = 65.6%.