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Q. On selling an old refrigerator for Rs.3560, a loss of 12% occurred. For how much should it be sold to gain 12%?

Dear Student

See the similar query below:
Q. rita sells a cupboard for rs 2640 and loses 12%.what should be the selling price for a 12 % gain.
A.

Let cost price of product  =  x and given,  Rita sells a cupboard for Rs 2640 and loses 12%

So,

x  -  12% of x  =  2640

$$\begin{gathered} \Rightarrow x - \frac{12 x}{100} = 2640 \\ \Rightarrow x - \frac{3x}{25} = 2640 \\ \Rightarrow \frac{25x -3 x}{25} = 2640 \\ \Rightarrow \frac{22 x}{25} = 2640 \\ \Rightarrow x = 2640 \times \frac{25}{22} \\ \Rightarrow x =120 \times 25 \\ \mathbf{\Rightarrow }\mathit{x}\mathbf{ }\mathbf{=}\mathbf{3000} \end{gathered}$$

So,
Cost price of product  = Rs . 3000

And

Selling price of product if that makes 12% profit  =  3000 +  12 % of 3000 =  3000 + $\frac{12 \times 3000}{100}$ =  3000 + 360 =  Rs . 3360                                    ( Ans )

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