A shopkeeper earns $15$ % profit on a shirt even after allowing $31$ % discount on the marked price.If the market price $1250$ , then the cost price of the shirt is

870

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800

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750

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690

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Solution

The correct option is C $750$
According to the problem the S.P and C.P is
$\begin{matrix} D i s c o u n t = \frac{31}{100} \times 1250 = 387.5 S . P = 1250 - 387.5 S . P = 862.5 C . P = \frac{100}{100 + 15} \times 862.5 = \frac{100}{115} \times 862.5 = \frac{17250}{23} = 750 \end{matrix}$
Therefore, the cost price is Rs $750$ .

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A shopkeeper earns 15% profit on a shirt even after allowing 31% discount on the marked price.If the market price 1250, then the cost price of the shirt is

The correct option is C 750According to the problem the S.P and C.P isDiscount=31100×1250=387.5S.P=1250−387.5S.P=862.5C.P=100100+15×862.5=100115×862.5=1725023=750Therefore, the cost price is Rs 750.

A shopkeeper earns $15$ % profit on a shirt even after allowing $31$ % discount on the marked price.If the market price $1250$ , then the cost price of the shirt is