A shopkeeper earns a profit of 12 on selling a book at 10 discount on the printed price The ratio of...........

Quantitative Aptitude (CHSL) Profit and loss

A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the

printed price is:

This questions was previously asked in

SSC CHSL 24th May 2022 Shift-3

38 : 55

45 : 56

55 : 38

56 : 45

- The shopkeeper sells a book with a 10% discount on its printed price.

- Despite the discount, they manage to earn a 12% profit.

- To find the cost price to the printed price ratio, consider both the discount and profit margins.

Let's break it down:

1. Suppose the printed price is 100 units.

2. After a 10% discount, the selling price becomes 90 units.

3. The profit margin is 12%, so the cost price x (1 + 12/100) = selling price.

4. Hence, 1.12x = 90.

5. Solving for x: x = 90/1.12 = 80.36 approximately.

6. The cost price is about 80.36 units when the printed price is 100 units.

7. Convert this into the simplest ratio of cost price to printed price:

- 80.36 : 100 simplifies to 45 : 56.

- Therefore, the correct answer is Option: 2, 45 : 56.

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