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A trader sold an article for ₹$828$ at a loss of $8\%$. At what price should he sell it to gain $12\%$?

A₹$1008$
B₹$990$
C₹$1020$
D₹$950$
Answer & Solution
Correct answer: A. ₹$1008$
First recover CP from the loss-side: $\text{CP} = \dfrac{100 \times \text{SP}}{100 - \text{Loss}\%} = \dfrac{100 \times 828}{92} = ₹900$. Then apply gain side: SP $= \dfrac{(100 + 12)}{100} \times 900 = ₹1008$.
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