A television and a washing machine were sold for Rs. $12500$ each. If the television was sold at a gain of $30 %$ and the washing machine at a loss of $30 %$ , then the entire transaction resulted in

9 %

gain

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9 %

loss

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11 %

gain

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Neither gain nor loss

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Solution

The correct option is B $9 %$ loss
S.P. of the T.V. and washing machine $= 2 \times$ Rs. $12500 =$ Rs. $25000$
C.P. of the T.V. $=$ Rs. $12500$ $\times \frac{100}{130}$
C.P. of the washing machine $=$ Rs. $12500 \times \frac{100}{70}$
$∴$ Total C.P. $=$ Rs. $12500$ $(\frac{100}{130} + \frac{100}{70}) =$ Rs. $12500 \times \frac{200}{91}$
$∴$ Required loss $% = \frac{\frac{2500000}{91} - 25000}{\frac{2500000}{91}} \times 100 = \frac{2500000 - 2275000}{2500000} \times 100$
$= \frac{225000}{2500000} \times 100 = 9 %$

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A television and a washing machine were sold for Rs. 12500 each. If the television was sold at a gain of 30% and the washing machine at a loss of 30%, then the entire transaction resulted in

A television and a washing machine were sold for Rs. $12500$ each. If the television was sold at a gain of $30 %$ and the washing machine at a loss of $30 %$ , then the entire transaction resulted in