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

On a certain article, the profit made is 320% of the cost price. If the cost price of the article is increased by 25% but the selling price is kept constant, then what approximate percentage of the selling price would the profit be?

  1. 30%

  2. 70%

  3. 100%

  4. 250%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cost = 100, Profit = 320, Selling Price = 420. New Cost = 125. Selling Price remains 420. New Profit = 420 - 125 = 295. Percentage of selling price = (295 / 420) * 100 approx 70.2%.

Multiple choice

A shopkeeper buys an article for Rs. 400 and marks it for sale at a price that gives him 80% profit on its cost after giving 15% discount on the marked price to his customer. Calculate the (approximate) marked price of the article.

  1. Rs. 847

  2. Rs. 792

  3. Rs. 933

  4. Rs. 647

  5. None of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost price = 400. Profit = 80% of 400 = 320. Selling price = 400 + 320 = 720. The selling price is 85% of the marked price (since 15% discount is given). Marked price = 720 / 0.85 = 847.05, which is approximately 847.

Multiple choice

A bicycle is sold by a shopkeeper for Rs. 8595 with a discount of 8% and earned a profit of 15%. What would have been the approximate percentage of profit earned, if no discount was offered?

  1. 25%

  2. 9%

  3. 5%

  4. 10%

  5. 48%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Selling Price = 8595, Discount = 8%. Marked Price = 8595 / 0.92 = 9342.39. Profit = 15%, so Cost Price = 8595 / 1.15 = 7473.91. If no discount, SP = MP = 9342.39. Profit = 9342.39 - 7473.91 = 1868.48. Profit % = (1868.48 / 7473.91) * 100 = 25%.

Multiple choice

A makes a loss of 12% by selling a phone. He gave a discount of 25% on the marked price. If the marked price of phone is Rs. 26,488, then find the cost price of phone. If he sells the phone for Rs. 30,475, then also find his loss/gain % (approx.).

  1. Rs. 21,734 and gain 25%

  2. Rs. 21,734 and loss 35%

  3. Rs. 22,575 and gain 35%

  4. Rs. 22,575 and loss 25%

  5. Rs. 22,345 and gain 15%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Marked price is 26488, so selling price after 25% discount is 26488 * 0.75 = 19866. Since this is a 12% loss, cost price = 19866 / 0.88 = 22575. If sold for 30475, gain = 30475 - 22575 = 7900, gain % = (7900 / 22575) * 100 which is approximately 35%.

Multiple choice

The cost price of 10 apples is the same as the selling price of 15 apples. What is the profit/loss incurred?

  1. 33.33% profit

  2. 33.33% loss

  3. 20% loss

  4. 16.66% profit

  5. 25% loss
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price of one apple be CP and selling price be SP. Given 10*CP = 15*SP, so CP/SP = 15/10 = 1.5. This means CP = 1.5*SP, which implies a loss because the cost is higher than the selling price. The loss percentage is ((CP - SP) / CP) * 100 = ((1.5*SP - SP) / 1.5*SP) * 100 = (0.5 / 1.5) * 100 = 33.33%.