Question

Mr Gupta gave 5/14 of his money to his son, 2/3 of the remainder to his daughter and the rest to his wife. If his wife got 36000 rupees what was the total amount?​

Answer 1

Answer:

Total money = RS 16800

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Step-by-step explanation:

Let the total money with Mr. Gupta be

$x$

Money given to son

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{5}{14} x$

Money left

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x - \frac{5}{14}x$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{(14 - 5)}{14} x$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{9}{14} x$

Money given to daughter

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2}{3} \times \frac{9}{14} x$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{7} x$

Money given to mother

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{9}{14} x - \frac{3}{7} x$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{(9 - 6)}{14} x$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{14} x$

According to the question,

$36000 = \frac{3}{14} x$

$x = \frac{36000 \times 14}{3}$

$x = 12000 \times 14$

$x = 168000$

Answer 2

Step-by-step explanation:

let total money be = x

so his son got = 5x/14

now remaining = x-5x/14 = 9x/14

and daughter = 2/3 × 9x/14 = 3x/7

and wife got = 36000 rs

so we come to conclusion that

son + daughter +wife = x

5x/14 + 3x/7 + 36000 = x

11x/14 +36000 = x

36000 = x- 11x/14

36000 = 3x/14

x = 36000×14/3

= 168000 rs answer