Question

In Ramlal’s store, the marked price of a commodity is x% more than its cost price. Ramlal gives a discount of 50% and yet earns a profit of 50%. Determine the value of x.
1. 210
2. 250
3. 200
4. 220

Answer 1

Correct Answer - Option 3 : 200

Given:

Marked price = cost price × (100 + x)/100

Discount = 50%

Profit % = 50%

Formula:

Profit % = (SP - CP)/CP × 100

Selling price = marked price × (100 - discount %)/100

Calculation:

Let marked price of a commodity be Rs.a.

Selling price = a × (100 - 50)/100

Selling price = Rs.a/2

⇒ 50 = (a /2 - CP)/CP × 100

⇒ CP = a - 2CP

⇒ CP = Rs.a/3

Then,

⇒ a = a/3 × (100 + x)/100

⇒ 100a = 100a/3 + ax/3

⇒ ax/3 = 200a/3

⇒ x = 200

∴ Value of x is 200.