A shopkeeper marked his goods at X% above their cost price and sold them at a discount of 60%. If he gained 84% profit, then find the value of X.​

Correct option is B

Given:

Discount = 60%

Profit = 84%

Marked price is X% above cost price

Formula Used: 

​SP = $$\text{MP} \times \left(1 - \frac{Discount}{100}\right)$$​​

Profit = $$\frac{SP - CP}{CP} \times 100$$​​

Solution: 

Let CP = ₹100  

MP = 100 + X

Profit = 84% => SP = ₹184

So, 

​$$SP = \text{MP} \times \left(1 - \frac{60}{100}\right) = \text{MP} \times 0.40$$​​

184 = $$(100 + X) \times 0.40$$​​

$$\frac{184}{0.40}$$​ = 100 + X

460 = 100 + X

X = 460 - 100 = 360