Rohit buys an item at $25 %$ discount on the marked price. He sells it for Rs $660$ , making a profit of $10 %$ . What is the marked price of the item?

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Solution

Let the C.P. of the item for Rohit be Rs $x$

We know that,

$S.P. = C.P. \times (1 + \frac{Profit %}{100})$

$\Rightarrow 660 = x \times (1 + \frac{10}{100})$

$\Rightarrow 660 = x \times \frac{110}{100}$

$\Rightarrow x = \frac{660 \times 100}{110} = 600$

$\Rightarrow$ Rohit buys the item at Rs $600$ i.e., the price at which the item was sold to Rohit is Rs $600$

$Now, M.P. = (\frac{S.P. \times 100}{100 - Discount %})$

$= \frac{600 \times 100}{100 - 25}$

$= \frac{600 \times 100}{75}$

$= Rs 800$

Hence, the marked price of the item is Rs $800$ .

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Finding Prices / Charges Related to Buying and Selling

Standard VIII Mathematics

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Rohit buys an item at 25% discount on the marked price. He sells it for Rs 660, making a profit of 10%. What is the marked price of the item?​

Rohit buys an item at $25 %$ discount on the marked price. He sells it for Rs $660$ , making a profit of $10 %$ . What is the marked price of the item?