Kishor gave $35 %$ of his savings to his son, $45 %$ of the remaining to his daughter and the remaining to his wife. If his wife got Rs. $64, 350$ , what did his son got (in Rs.)?

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Solution

Let the total amount with Kishor be $R s . x$
Amount he gave to his son $= 35 % \times x = R s . \frac{35 x}{100}$
Amount left with him $= x - . \frac{35 x}{100} = \frac{100 x - 35 x}{100} = R s . \frac{65 x}{100}$
Amount he gave to his daughter $45 % \times \frac{65 x}{100} = \frac{45}{100} \times \frac{65 x}{100}$
$= R s . \frac{2925 x}{10000}$ or $0.2925 x$
Amount left with him which he gave to his wife $= \frac{65 x}{100} - \frac{2925 x}{10000}$
$= \frac{6500 x - 2925 x}{10000}$
$= R s . \frac{3575 x}{10000}$
According to the question,
$\Rightarrow \frac{3575 x}{10000} = 64, 350$
$∴ x = 64, 350 \frac{10000}{3575} = 18 \times 10000 = R s .1, 80, 000$
Thus, amount of money his son get $= \frac{35 \times 180000}{100} = R s .63000$

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Kishor gave 35% of his savings to his son, 45% of the remaining to his daughter and the remaining to his wife. If his wife got Rs. 64,350, what did his son got (in Rs.)?

Kishor gave $35 %$ of his savings to his son, $45 %$ of the remaining to his daughter and the remaining to his wife. If his wife got Rs. $64, 350$ , what did his son got (in Rs.)?