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

Ajay buys 6 dozen eggs for Rs 10.80, and 12 eggs are found rotten and the rest are sold at 5 eggs per rupee. Find his percentage gain or loss?

  1. 11 1/9 % gain

  2. 11 1/9 % loss

  3. 9 1/11 % gain

  4. 10 1/9% loss

  5. 9 1/11 % loss
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost of 72 eggs (6 dozen) = 10.80. Cost per egg = 10.80 / 72 = 0.15. Rotten eggs = 12, remaining = 60. Sold at 5 eggs per rupee, so 60 eggs sold for 12 rupees. Gain = 12 - 10.80 = 1.20. Gain % = (1.20 / 10.80) * 100 = 100/9 = 11 1/9%.

Multiple choice

The profit made when a shopkeeper increases his selling price by 20% and sells eight items is the same as the loss made when he decreases his selling price by 20% and sells nine items. Find the ratio of the original cost price to the selling price of each item.

  1. 80 120

  2. 64 144

  3. 168 170

  4. 170 168
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = C, SP = S. Profit = 8*(1.2S - C) = Loss = 9*(C - 0.8S). 9.6S - 8C = 9C - 7.2S. 16.8S = 17C. C/S = 16.8/17 = 168/170.

Multiple choice

A and B, there are two companies, selling the packs of cold-drinks. For the same selling price, A gives two successive discounts of 10% and 25%. While B sells it by giving two successive discounts of 15% and 20%. What is the ratio of their marked price?

  1. 143: 144

  2. 19: 11

  3. 136: 135

  4. 73: 77

  5. 77: 73
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let MP be the marked price. Effective discount for A: 1 - (0.9 * 0.75) = 1 - 0.675 = 0.325. Effective discount for B: 1 - (0.85 * 0.8) = 1 - 0.68 = 0.32. Selling prices are equal: MP_A * 0.675 = MP_B * 0.68. Ratio MP_A/MP_B = 0.68/0.675 = 680/675 = 136/135.

Multiple choice

Amit bought an article for Rs. 310 and sold it at a loss of 25%. With this money, he bought another article and sold it at a gain of 40%. What was his overall gain or loss percent?

  1. Loss 2.5%

  2. Gain 8%

  3. Loss 4%

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

Initial cost = 310. Loss of 25% means selling price = 310 * 0.75 = 232.5. New cost = 232.5. Gain of 40% means selling price = 232.5 * 1.4 = 325.5. Overall gain = 325.5 - 310 = 15.5. Gain percent = (15.5 / 310) * 100 = 5%.