A shopkeeper marked his goods at X% above their cost price and sold them at a discount of 16%. If he gained 68% profit, then find the value of X.​

Correct option is B

​Given:

The shopkeeper marked his goods at X% above the cost price.

He gave a 16% discount on the marked price.

The profit gained is 68%. 

Formula Used: 

Profit = $$\frac{ \text{Selling Price} -\text{ Cost Price}} {\text{Cost Price} }$$× 100 

Solution:

Let the cost price  be 100 

For 68% : 

SP = $$100 \times \frac{168}{100} = 168$$ 

Now , 16% on the MP , 

MP $$\times \frac{84}{100} = 168$$ 

MP = $$168 \times \frac{100}{84} = 200$$ 

Price marked X% above, so 

= $$\frac{200 - 100}{100}\times 100 = 100\%$$​​

Thus, value of X is 100