Question

The cost price of tablet is Rs. 20,100. The retailer gave 40% discount on the marked price. If tablet is sold at 40% profit, find the marked price of the tablet. 

1. Rs. 40,800
2. Rs. 27,500
3. Rs. 35,750
4. Rs. 46,900

Answer 1

Correct Answer - Option 4 : Rs. 46,900

Given:

The cost price of tablet is Rs. 20,100.

The retailer gave 40% discount on the Marked price.

Tablet is sold at 40% profit.

Concepts used:

M.P. = S.P. + Discount

Discount % = Discount/M.P. × 100

Profit % = {(S.P. – C.P.)/C.P.} × 100

Calculation:

C.P. of tablet = Rs. 25,000

Let M.P. of tablet be Rs. x.

Discount % = 40

⇒ {(x – S.P.)/x} × 100 = 40

⇒ S.P. = 3x/5

Profit % = 40

⇒ {(3x/5 – C.P.)/C.P} × 100 = 40

⇒ 7C.P./5 = 3x/5

⇒ 3x/5 = Rs. 7/5 × 20,100

⇒ x = Rs. 46,900

∴ Marked price of tablet is Rs. 46,900.