Question

A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest child got forty five percent of the allowance and the youngest got twenty percent. How much did the youngest child receive if the second child got three thousand five hundred dollars?

Answer 1

The youngest child will receive $2000

Explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=>
`(35)/(100) * x = 3500`

`x = (3500 * 100)/(35)`

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

`(20)/(100) * 10000`

= $2000

The youngest child will receive $2000.