Question : A trader marks his goods in such a way that after allowing a discount of 10%, he gains 15%. If an article costs him Rs. 720, his marked price is:
Option 1: Rs. 920
Option 2: Rs. 900
Option 3: Rs. 820
Option 4: Rs. 950
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Correct Answer: Rs. 920
Solution :
Given: A trader marks his goods in such a way that after allowing a discount of 10%, he gains 15% and his cost price is Rs. 720.
Let the marked price = 100 units
Discount = 10%
So, the selling price = (100 – 10) = 90 units
Gain = 15%
So, cost price = $90×\frac{100}{(100+15)}$ = $\frac{1800}{23}$ units
Here $\frac{1800}{23}$ units are equivalent to Rs. 720.
So, 100 units is equivalent to ($\frac{720×100}{\frac{1800}{23}})$ = Rs. 920
Therefore, the marked price is Rs. 920.
Hence, the correct answer is Rs. 920.
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