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

In a shop, shirts are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10%, off the usual selling price. If he manages to sell 72 shirts for Rs. 13,608, then his cost price per shirt in Rs. is

  1. 210

  2. 150

  3. 149

  4. 125
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Selling price per shirt = 13608 / 72 = 189. This price includes a 10% discount on the marked price (MP), so 0.9 * MP = 189, meaning MP = 210. Since MP is 40% above cost price (CP), 1.4 * CP = 210, so CP = 150.

Multiple choice

A and B enter into a joint venture for purchase and sale of typewriter. A purchased a typewriter costing Rs. 100000. He incurred repairing expenses of Rs. 10000 and printing expenses of Rs. 10000. B sold it at 20% margin on the selling price. The sales value is

  1. Rs. 125000

  2. Rs. 150000

  3. Rs. 100000

  4. Rs. 140000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The total cost incurred is 100000 + 10000 + 10000 = 120000. The margin is 20% on the selling price, meaning the cost price is 80% of the selling price. Therefore, 0.8 * Selling Price = 120000, which results in a Selling Price of 150000.

Multiple choice

A retailer allows a trade discount of 20% and a cash discount of 6.25% on the marked price of the products and makes a net profit of 20% on the cost. By what percentage are the products marked up by him?

  1. 40%

  2. 50%

  3. 60%

  4. 70%

  5. 80%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let MP be marked price, CP be cost price. Selling Price = MP * 0.80 * (1 - 0.0625) = MP * 0.80 * 0.9375 = 0.75 * MP. Profit is 20%, so SP = 1.2 * CP. Thus, 0.75 * MP = 1.2 * CP. MP/CP = 1.2 / 0.75 = 1.6. The markup is 60%.