Question

Kartik gave 2/7 of his money to his sister and spent 3 /5 of the remainder. If he had 300 rupees left, how much money he had beginning?

Answer 1

Answer:

If ,the money in the beginning is 1

and if he had given 2/7 to his sister so the remaining is 5/7.

and he had spent 3/5 of the remaining so he spent 5/7 *3/5=3/7

so the left is 1-3/7=4/7

4/7 =300

1=300*7/4

1=75*7

1=525

Answer 2

let 'x' be the amount of money he had in the beginning.

amount of money he gave to his sister

$= \frac{2}{7} x$

amount of money now left with him

$= x - \frac{2}{7} x = \frac{7x - 2x}{7} \\ = \frac{5x}{7}$

amount of money he then spent

$= \frac{3}{5} ( \frac{5x}{7} ) \\ = \frac{3x}{7}$

now, amount of money he is finally left with

$= x - \frac{2x}{7} - \frac{3x}{7} \\ = \frac{7x - 2x}{7} - \frac{3x}{7} \\ = \frac{2x}{7}$

he has 300 rupees left

$\frac{2x}{7} = 300 \\ x = \frac{300 \times 7}{2} \\ x = 1050$

Hence, he originally had 1050 Rs. with him.