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Mr. Raju gave $30 %$ of the money he had to his wife. He also gave $20 %$ of the remaining amount to each of his two sons. Half of the amount now left was spent on miscellaneous items and the remaining amount of Rs. 2520 was deposited in the bank. How much money did Mr. Raju have initially ?

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12000

10000

14000

11000

answer is A.

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Detailed Solution

Let the money be $x$ Rs.

Raju gave $30 %$ of money $= \frac{30}{100} x$

Remaining money with Raju $= x - \frac{30}{100} x = \frac{70}{100} x$

$20 %$ of remaining to give to sons $= \frac{70}{100} x \times \frac{20}{100} = \frac{7 x}{50}$

Money remaining $= \frac{70 x}{100} - 2 \times \frac{7 x}{50} = \frac{21 x}{50}$

Half of the amount on miscellaneous $= \frac{21}{100} x$

remaining = $\frac{21}{100} x = 2520$

$x = 12000$

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