Question

A trader marks his goods such that he earns a profit of 50% on its cost. He then sells it by offering a discount of x% on its marked price. If his actual profit is 9.85%, then the value of x is:
1. 26.76
2. 12
3. 15
4. 12.5

Answer 1

Correct Answer - Option 1 : 26.76

Let the original cost price be Rs.100

Then the marked price = 50% of 100 + 100

⇒ Marked price = 150

Selling price = 150 - x% of 150                 1

%Profit = 9.85%

⇒ Selling price = 9.85% of 100 + 100       2

Equating 1 and 2 

⇒ 109.85 = 150 - x% of 150

⇒ x% of 150 = 150 - 109.85

⇒ 3/2 x = 40.15

⇒ x = 40.15 × 2/3

⇒ x = 26.76%

∴ The required answer = 26.76%