A man has Rs- x with him- He gave 14th to his wife- 13rd to his son and Rs- 1000 to his daughter- Find x-

The correct option is A 2400 The total amount of money with the man = Rs. x . 1 / 4 x+ 1 / 3 x+1000=x ⟹ x 1 / 4 x 1 / 3 x=1000 ⟹ ...

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Standard VIII

Mathematics

Applications (Word Problem)

A man has Rs....

Question

A man has Rs. $x$ with him. He gave $\frac{1}{4}$ th to his wife, $\frac{1}{3}$ rd to his son and Rs. $1000$ to his daughter. Find $x$ .

2400

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2200

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2000

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None of the above.

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Solution

The correct option is A $2400$
The total amount of money with the man = Rs. $x$ .
$\frac{1}{4} x + \frac{1}{3} x + 1000 = x$

$⟹ x - \frac{1}{4} x - \frac{1}{3} x = 1000$

$⟹ \frac{12 x - 3 x - 4 x}{12} = 1000$

$⟹ 5 x = 1000 \times 12$

$x$ = Rs. $2400$

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A man has Rs. x with him. He gave 14th to his wife, 13rd to his son and Rs. 1000 to his daughter. Find x.

The correct option is A 2400The total amount of money with the man = Rs. x.14x+13x+1000=x⟹x−14x−13x=1000⟹12x−3x−4x12=1000⟹5x=1000×12x = Rs. 2400

A man has Rs. $x$ with him. He gave $\frac{1}{4}$ th to his wife, $\frac{1}{3}$ rd to his son and Rs. $1000$ to his daughter. Find $x$ .

The correct option is A $2400$
The total amount of money with the man = Rs. $x$ .
$\frac{1}{4} x + \frac{1}{3} x + 1000 = x$

$⟹ x - \frac{1}{4} x - \frac{1}{3} x = 1000$

$⟹ \frac{12 x - 3 x - 4 x}{12} = 1000$

$⟹ 5 x = 1000 \times 12$

$x$ = Rs. $2400$