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Anu bought a sofa set for Rs.12,840. She sold it for Rs. 10,950. Find the lost percent.

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Last updated date: 13th Jun 2024
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Answer
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Hint: Use the given data, the cost price of the sofa, and the selling price of the sofa to find the lost using the formula:
${\text{Lose}} = {\text{Cost price}} - {\text{Selling price}}$
Then use the formula given below to find the lost percent in the selling of the sofa.
\[{\text{Cost percent}} = \dfrac{{{\text{Loss}}}}{{{\text{Cost price}}}} \times 100\]

Complete step-by-step answer:
It is given that Anu bought a sofa set for Rs.12,840 and sold it for Rs. 10,950.
We have to find the lost percent of the selling of the sofa.
First, find the loss on the selling of the sofa. The cost price of the sofa is Rs.12,840 and the selling price of the sofa is Rs. 10,950.
We know that the formula of loss is given as:
Loss\[ = {\text{ Cost price}} - {\text{Selling price}}\]
Now we substitute 12840 for Cost price and 10,950 for selling price into the equation.
Loss\[{\text{ = }}12,840 - 10,950\]
Loss\[ = 1890\]
So, there is a loss of Rs. 1890 in the selling of sofa.
Now we find the loss percent using the formula:
Loss percent $ = \dfrac{{{\text{Loss}}}}{{{\text{Cost price}}}} \times 100$
We substitute 1890 for loss and 12840 for Cost price into the equation.
Loss percent $ = \dfrac{{1890}}{{12840}} \times 100$
Simplify the equation for getting the value of loss percent.
Loss percent $ = 14.72$
Hence, there is a loss of $14.72\% $ in the selling of the sofa.

Note: There is an alternate method of finding the loss percent using the formula of loss percent given below:
Loss percent$ = \left( {\dfrac{{{\text{Cost price}} - {\text{Selling price}}}}{{{\text{Cost price}}}}} \right) \times 100$
It is given that Anu bought Sofa for Rs.12840 and sold it for Rs. 10,950 so substitute 12840 for Cost price and 10,950 for selling price into the equation.
Loss percent$ = \left( {\dfrac{{12840 - {\text{10950}}}}{{12840}}} \right) \times 100$
Simplify the equation:
Loss percent$ = \left( {\dfrac{{1890}}{{12840}}} \right) \times 100$
Loss percent$ = 14.72$
Hence, there is a loss of $14.72\% $in the selling of sofa.