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 marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on both is 30%, then the discount offered on trousers is

  1. 15%

  2. 20%

  3. 25%

  4. 30%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the marked price of the shirt be S and trousers be 2S. Total MP is 3S. Total discount is 30% of 3S = 0.9S. Discount on shirt is 40% of S = 0.4S. Discount on trousers = 0.9S - 0.4S = 0.5S. Percentage discount on trousers = (0.5S / 2S) * 100 = 25%.

Multiple choice

If a discount of 10% is given to a customer at the marked price of an article, the gain of the traders is 20%. What will be the gain percent of the trader, if the discount is increased to 15 %?
  1. $\displaystyle 12\frac{1}{2}\%$
  2. $\displaystyle 13\frac{1}{3}\%$
  3. $\displaystyle 14\frac{1}{4}\%$
  4. $\displaystyle 15\frac{1}{5}\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let MP = 100. Discount 10% -> SP = 90. Gain 20% -> CP = 90/1.2 = 75. If discount is 15%, SP = 85. Gain = 85 - 75 = 10. Gain % = (10/75)*100 = 13.33% = 13 1/3%.

Multiple choice

A shopkeeper marks his goods at 20% above the cost price. He sells three - fourths of his goods at the marked price. He sells the remaining goods at 50% of the marked price. Determine his profit percent on the whole transaction.

  1. 10%

  2. 8%

  3. 5%

  4. 7%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100, so MP = 120. 3/4 of goods sold at 120 = 90. Remaining 1/4 sold at 50% of 120 = 60, so 1/4 * 60 = 15. Total revenue = 90 + 15 = 105. Profit = 105 - 100 = 5%.