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Q.

A man gave $\frac{1}{4}$ th of the money he had to his wife, $\frac{1}{3}$ rd to his son and Rs. $1000$ to his daughter. How much money did he have?

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a

Rs . 2400

b

Rs . 2200

c

Rs . 2000

d

Rs . 2100

answer is A.

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Detailed Solution

Given,
Money given to wife

= Rs . \frac{1}{4} x

.
Money given to son

= Rs . \frac{1}{3} x

.
Money given to daughter

= Rs . 1000

.
Let total money the man had

= Rs . x

.
According to the given condition,

\frac{1}{4} x + \frac{1}{3} x + 1000 = x

\Rightarrow x - \frac{1}{4} x - \frac{1}{3} x = 1000

\Rightarrow \frac{12 x - 3 x - 4 x}{12} = 1000

\Rightarrow 5 x = 1000 \times 12

\Rightarrow x = Rs . 2400

The man had

Rs . 2400

.
Hence, the correct option is 1.

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