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

What percent of mark price should be raised then after getting $2.5 \%$ discount will give $22.5\%$ profit?
  1. $21\%$
  2. $23\%$
  3. $25\%$
  4. $27\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the cost price be 100. To get 22.5% profit, the selling price must be 122.5. Since this is after a 2.5% discount on the marked price (MP), 0.975 * MP = 122.5, so MP = 122.5 / 0.975 = 125.64. The markup percentage is (125.64 - 100) / 100 = 25.64%, which is closest to 25%.

Multiple choice

A trader buys good at $20\%$ discount on marked price. If he wants to make a profit of $25\%$ after allowing a discount of $20\%$. By what percent should his marked price be greater than the original marked price?
  1. $15\%$
  2. $65\%$
  3. $25\%$
  4. $20\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let marked price be M. Cost price = 0.8M. To get 25% profit, selling price = 1.25 * 0.8M = 1M. If he allows 20% discount on new marked price M', then 0.8M' = 1M, so M' = 1.25M. The increase is 25%.

Multiple choice

A man bought at the cost of $5$ plums a rupee and $2$ oranges a rupee. He sells $10$ plums and $6$ oranges at the selling price of $4$ plums a rupee and $3$ oranges a rupee. What is his gain or loss?
  1. Gain $50$ paise
  2. Loss $50$ paise
  3. Gain $30$ paise
  4. Loss $30$ paise
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

CP: 5 plums = 1 rupee (0.2 each), 2 oranges = 1 rupee (0.5 each). Total CP for 10 plums and 6 oranges = 10(0.2) + 6(0.5) = 2 + 3 = 5 rupees. SP: 4 plums = 1 rupee (0.25 each), 3 oranges = 1 rupee (0.333 each). Total SP for 10 plums and 6 oranges = 10(0.25) + 6(0.333) = 2.5 + 2 = 4.5 rupees. Loss = 5 - 4.5 = 0.5 rupees = 50 paise.