# If the cost price for a product is Rs 256, then find the selling price of this product when the loss is 10%.

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Hint: If we are given a product at cost price equal to x and we are given that we have to sell this at some y % loss then the selling price is given by the formula $x-\dfrac{xy}{100}$. Using this formula, we can solve this question.

Before proceeding with the question, we must know the formula that will be required to solve this question.

If we are given a product which is having its cost price equal to x and we are required to sell it at y % loss then its selling price will be given by the formula $x-\dfrac{xy}{100}$. . . . . . . . (1)

In this question, we are given that the cost price for a product is Rs 256. We are required to find the selling price of this product when the loss is 10%.

Substituting x = 256 and y = 10 in the formula (1), we get the selling price of this product equal to,

$\begin{align}

& 256-\dfrac{256\times 10}{100} \\

& \Rightarrow 256-25.6 \\

& \Rightarrow 230.4 \\

\end{align}$

Hence, the selling price of the product is Rs. 230.4.

Note: It is an easy question which can be solved by adequate knowledge of percentage. But since it is an easy question, it is possible that one may commit a mistake while doing the calculations while solving this question in a hurry. For example, there is a possibility that one may write $\dfrac{256\times 10}{100}$ equal to 2.56 instead of 25.6. So, one must be careful while doing these types of calculations.

__Complete step-by-step answer:__Before proceeding with the question, we must know the formula that will be required to solve this question.

If we are given a product which is having its cost price equal to x and we are required to sell it at y % loss then its selling price will be given by the formula $x-\dfrac{xy}{100}$. . . . . . . . (1)

In this question, we are given that the cost price for a product is Rs 256. We are required to find the selling price of this product when the loss is 10%.

Substituting x = 256 and y = 10 in the formula (1), we get the selling price of this product equal to,

$\begin{align}

& 256-\dfrac{256\times 10}{100} \\

& \Rightarrow 256-25.6 \\

& \Rightarrow 230.4 \\

\end{align}$

Hence, the selling price of the product is Rs. 230.4.

Note: It is an easy question which can be solved by adequate knowledge of percentage. But since it is an easy question, it is possible that one may commit a mistake while doing the calculations while solving this question in a hurry. For example, there is a possibility that one may write $\dfrac{256\times 10}{100}$ equal to 2.56 instead of 25.6. So, one must be careful while doing these types of calculations.

Last updated date: 18th Sep 2023

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