Question

I spent 3/4 of my money and then I spent 1/5 of what was left. What part of all my money do I have left?

Answer 1

After spending 3/4 you have 1/4 left = 5/20.
1/5 of 5/20 is 1/20. 5/20 - 1/20 = 4/20 = 1/5.
Therefore you have 1/5 left.

Answer 2

1/5 part of money

Explanation:

Let the total money be x

Part of the money spent= 3/4 of money

Part of the money spent= 3/4 x

Remaining money=x-
`(3)/(4)`x

Remaining money=
`(x)/(4)`

Than he spent= 1/5 of left money

He spent=
`(1)/(5)` ×
`(x)/(4)`

He spent=
`(x)/(20)`

Remaining money=
`(x)/(4)`-
`(x)/(20)`

Remaining money=
`(5x-x)/(20)`

Remaining money=
`(4x)/(20)`

Remaining money=
`(x)/(5)`

Hence, the correct answer is 1/5 part of money