Discussion
Mohan Lal purchased an article for Rs. 35,000. He allows a discount of 12% of its marked price and still gains 10%. Then the marked price of the article is :
Answer: C
The marked price is Rs. 43,750.
To gain 10% on a cost of Rs. 35,000, the selling price must be \(35000 \times 1.10 = 38500\). This selling price is the marked price less a 12% discount, so it is 88% of the marked price:
\[ \begin{aligned} 0.88 \times \text{MP} &= 38500 \\ \text{MP} &= \frac{38500}{0.88} = 43750 \end{aligned} \]
Check: 12% of 43,750 is 5,250, and 43,750 - 5,250 = 38,500, a gain of 3,500, which is 10% of 35,000. The other figures are close but give the wrong gain.
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