Question : If a shopkeeper marks his goods for a certain amount to get a 25% gain after allowing a discount of 20%, if the cost price of an article is Rs. 100, then his marked price of that article is:
Option 1: Rs. 156.25
Option 2: Rs. 146.25
Option 3: Rs. 166.25
Option 4: Rs. 150.25
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Correct Answer: Rs. 156.25
Solution :
Given: A shopkeeper marks his goods for a certain amount to get a 25% gain after allowing a discount of 20%.
Let cost price (CP) = Rs. 100 and the gain is 25%,
So, selling price (SP) = (100 + 100 × $\frac{25}{100}$) = Rs. 125
Also, there is a 20% discount,
So, the marked price (MP) = 125 × $(\frac{100}{100-20})$ = $\frac{625}{4}$ = Rs. 156.25
Hence, the correct answer is Rs. 156.25.
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