Question

Mr wood's monthly expenses was $2.125 after he had reduced it by 15 %the oroginal monthoy expenses was 80% of his monthly income

find the original monthly expenses

Answer 1

$2.50

Explanation:

Let the original monthly expenses be 'x'.

Given:

Reduced monthly expenses = $2.125

Reduction in monthly expenses = 15%

Therefore, remaining percentage of monthly expenses = 100 - 15 = 85%

Now, as per question:

`85\%\ of\ x=2.125\\(85)/(100)* x=2.125\\0.85x=2.125\\x=(2.125)/(0.85)=\$2.50`

Therefore, the original monthly expenses of Mr. Wood was $2.50.

Also, we can find his monthly income using the value of 'x'.

As per question, his monthly expenses is 80% of his income.

So, 80% of income = 2.5

Income =
`(2.5)/(0.80)=\$3.125`

So, his monthly income is $ 3.125