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

By selling a certain number of goods for Rs. 5 , 500 5,500 , a shopkeeper loses equal to one-tenth of their selling price. Find t he loss percent.
  1. $7\displaystyle \frac {1}{6}\%$
  2. $8\displaystyle \frac {1}{3}\%$
  3. $9\displaystyle \frac {1}{11}\%$
  4. $10\displaystyle \frac {1}{13}\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Loss = (1/10) * Selling Price. Loss = CP - SP. So, CP - SP = 0.1 * SP => CP = 1.1 * SP. Loss % = (Loss / CP) * 100 = (0.1 * SP / 1.1 * SP) * 100 = (1/11) * 100 = 9 1/11%.

Multiple choice

The cost price of an article is 90% of its selling price. What is the profit or the loss as percent?
  1. $10\displaystyle \frac {1}{9}\%$ loss
  2. $11\displaystyle \frac {1}{9}\%$ profit
  3. $9\displaystyle \frac {1}{9}\%$ loss
  4. $12\displaystyle \frac {1}{9}\%$ profit
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

CP = 0.9 * SP. Profit = SP - CP = SP - 0.9 * SP = 0.1 * SP. Profit % = (Profit / CP) * 100 = (0.1 * SP / 0.9 * SP) * 100 = (1/9) * 100 = 11.11% or 11 1/9%.

Multiple choice

A man sold a radio-set for Rs. 250 and gained one-ninth of its cost price. Find the profit percent.
  1. $1\displaystyle \frac {1}{7}\%$
  2. $7\displaystyle \frac {1}{8}\%$
  3. $10\displaystyle \frac {1}{3}\%$
  4. $11\displaystyle \frac {1}{9}\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Selling price = 250. Profit = (1/9) * Cost Price. SP = CP + Profit = CP + (1/9)CP = (10/9)CP. 250 = (10/9)CP => CP = 225. Profit = 250 - 225 = 25. Profit % = (25/225) * 100 = 100/9 = 11 1/9%.

Multiple choice

A shopkeeper buys $x$ kg sugar for Rs. $y$ and sells it at Rs $z$ per kg. Find profit percent.
  1. $\displaystyle \frac{(zx - y)}{x} \times 100$%
  2. $\displaystyle \frac{(zx - y)}{y} \times 100$%
  3. $\displaystyle \frac{(z-x )}{y} \times 100$%
  4. $\displaystyle \frac{(z - xy)}{y} \times 100$%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cost price (CP) for x kg is y, so CP per kg is y/x. Selling price (SP) per kg is z. Profit per kg = z - (y/x) = (zx - y)/x. Profit percent = (Profit / CP) * 100 = [((zx - y)/x) / (y/x)] * 100 = ((zx - y)/y) * 100.