Question

With a discount offered equal to 200/3% on the marked price, the selling price becomes equal to cost price. Find the percentage by which the marked price is more than the cost price.

1. 100%
2. 120%
3. 150%
4. 200%

Answer 1

Correct Answer - Option 4 : 200%

Given:

With discount offered equal to 200/3% on marked price, the selling price becomes equal to cost price.

Concepts used:

M.P. = S.P. + Discount

Discount % = Discount/M.P. × 100

Calculation:

Let M.P. be Rs. x.

Discount % = 200/3

⇒ (x – S.P.)/x × 100 = 200/3

⇒ x = 3 × S.P.

S.P. = C.P.

⇒ C.P. = x/3

⇒ Marked up percentage = (M.P. – C.P.)/C.P. × 100

⇒ \({{x - {x \over 3}} \over {x \over 3}} \times 100\)

⇒ 200%

∴ M.P. is more than C.P. by 200%.