Question

A man lost 20% of his money after spending 25% of the remainders he has rs 480 left how much money did he initial

Answer 1

Answer : Rs. 800

Given that :

A man lost 20% of his money. After 25% spending of the remainder he has Rs. 480.

Let, he had Rs. x as his initial money.

According to the question :

$x \times \frac{(100 - 20)}{100} \times \frac{(100 - 25)}{100} = 480 \\ \\ = > x \times \frac{80}{100} \times \frac{75}{100} = 480 \\ \\ = > x = \frac{480 \times 100 \times 100}{80 \times 75} \\ \\ = > x = 800$


So, he had Rs.800 as his initial money.

Answer 2

We will use X to represents the unknown no.

To find the remainder after 25 % is spent,we know that 75 % of the remainder is Rs. 480:

480=75x
480/75=640

So Rs. 640 is the remainder from the original amount. Now we also know that after spending 20% of the original amount that 80% of that amount is Rs 640:

640=80x
640/80=x
800=x

Rs. 800 is indeed the original amount.........

HOPE IT HELPS YOU TO UNDERSTAND...........