Discussion
On selling a fan for Rs. 810, Sounak gains 8%. For how much did he purchase it ?
Answer: B
Sounak bought the fan for Rs. 750.
A gain of 8% means the selling price is 108% of the cost price.
\[ \begin{aligned} 1.08 \times CP &= 810 \\ CP &= \frac{810}{1.08} \\ &= 750 \end{aligned} \]
Check: 8% of 750 is 60, and 750 + 60 = 810. The other prices do not give an 8% gain: from Rs. 748 the gain would be about 8.3%, from Rs. 760 about 6.6% and from Rs. 770 about 5.2%.
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