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 merchant buys goods at $25$% off the list price. He desires to mark the goods so that he can given a discount of $20$% on the marked price and still clear a profit of $25$% on the selling price. What per cent of the list price must be mark the goods?
  1. $125$%
  2. $100$%
  3. $120$%
  4. $80$%
  5. $75$%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let list price be 100. Cost price is 75. To get 25% profit on selling price, profit = 0.25 * SP. Since SP = CP + Profit = 75 + 0.25 * SP, we get 0.75 * SP = 75, so SP = 100. Since 20% discount is given on marked price (MP), 0.8 * MP = 100, so MP = 125. Thus, 125% of list price.

Multiple choice

An article is sold at 45% profit. If its cost price is increased by $ Rs. 80$ and at the same time if its selling price is also increased by $ Rs. 70$, the percentage of profit becomes 30%. Find the cost price.
  1. $Rs.246$
  2. $Rs.226\frac{2}{3}$
  3. $Rs.293\frac{1}{3}$
  4. $Rs.226\frac{1}{3}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. SP = 1.45x. New CP = x + 80, New SP = 1.45x + 70. Profit % = ((New SP - New CP) / New CP) * 100 = 30. (0.45x - 10) / (x + 80) = 0.3. 0.45x - 10 = 0.3x + 24. 0.15x = 34. x = 34 / 0.15 = 3400 / 15 = 680 / 3 = 226 2/3.

Multiple choice

The marked price of an article is Rs. 18,000 and is available in Delhi at 30% discount. A shopkeeper from Bhopal buys this article in Delhi and spends Rs. 950 on his travelling and Rs. 450 on the transportations etc. of the article. Find the profit per cent made by the shopkeeper, if he sells the article at Bhopal at 10% discount.
  1. $\displaystyle 11\frac{1}{7}$
  2. $\displaystyle 13\frac{2}{7}$
  3. $\displaystyle 15\frac{5}{7}$
  4. $\displaystyle 17\frac{6}{7}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

MP = 18000. CP = 18000 * 0.7 + 950 + 450 = 12600 + 1400 = 14000. SP = 18000 * 0.9 = 16200. Profit = 16200 - 14000 = 2200. Profit % = (2200/14000)*100 = 220/14 = 110/7 = 15 5/7%.

Multiple choice

A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 5%discount on the list price. If a customer paid Rs. 114 for an article, what profit is made by the retailer ? Find, also, the retailer's percentage profit on his cost.

  1. Rs. 20; 19.75%

  2. Rs. 18; 18.75%

  3. Rs. 22; 20.75%

  4. none of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let List Price = L. Retailer buys at 0.8L. Retailer sells at 0.95L. Given 0.95L = 114, so L = 120. Retailer cost = 0.8 * 120 = 96. Retailer profit = 114 - 96 = 18. Profit % = (18 / 96) * 100 = 18.75%.