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 man purchases two clocks A and B at a total cost of Rs 650. He sells A at 20% profit and B at a loss of 25% and gets the same selling price for both the clocks. What are the purchasing prices of A and B respectively?

  1. Rs. 225, Rs. 425

  2. Rs. 275, Rs. 375

  3. Rs. 250, Rs. 400

  4. Rs. 300, Rs. 350
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A and B be the costs. 1.2A = 0.75B. Since A + B = 650, substitute B = 650 - A. 1.2A = 0.75(650 - A) leads to 1.2A = 487.5 - 0.75A, so 1.95A = 487.5, A = 250. Then B = 400.

Multiple choice

A shopkeeper gives a discount of $25\%$ on the marked price of an article and still earns a profit of $20\%$ on his outlay, If he had not given any discount, then the profit on his outlay would have been
  1. $45\%$
  2. $50\%$
  3. $55\%$
  4. $60\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = 100. Profit = 20%, so SP = 120. Discount = 25% on MP. SP = MP * 0.75 = 120. So MP = 120 / 0.75 = 160. If no discount, SP = MP = 160. Profit = 160 - 100 = 60. Profit % = 60%.

Multiple choice

A property dealer sells a site for 6,30,000 and makes a profit of 5%. Had he sold it for. 5,00,000, then the percentage of profit or loss he would have made is
  1. $\displaystyle2\frac{1}{4}\%$ gain

  2. 10% loss
  3. $\displaystyle12\frac{1}{2}\%$ loss
  4. $\displaystyle16\frac{2}{3}\%$ loss
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost price = 630000 / 1.05 = 600000. If sold for 500000, the loss is 600000 - 500000 = 100000. Loss percentage = (100000 / 600000) * 100 = 100/6 = 16.66% or 16 2/3%.