Question

If the marked price of a book is 60% above the cost price. Then, find the loss/profit %, if is sold after 50% discount

1. 20% loss
2. 20% profit
3. 15% loss
4. 15% profit

Answer 1

Correct Answer - Option 1 : 20% loss

Given:

The marked price of book is 60% above the cost price.

Discounts is 50%

Concept Used:

Discount is always given on the marked price.

Formula used:

SP = MP × (100 - D)/100

Here, SP → Selling price, D → Discount

Calculation:

Let the cost price of the book be Rs. 100x

So, marked price = 160% of 100x = Rs.160x

As, discount is of 50% 

∴ Selling price = \(160x × {50 \ \over 100}\) = Rs.80

⇒ Loss = C.P - S.P = 100x - 80x = 20x

∴ Loss % = \({20x \ \over 100x} × 100\) = 20%

∴ The loss percent in selling the book at 50% discount is of 20%