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

Answer:

$2.50

Step-by-step 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:

$85\%\ of\ x=2.125\\\frac{85}{100}\times x=2.125\\0.85x=2.125\\x=\frac{2.125}{0.85}=\ 2.50$

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 = $\frac{2.5}{0.80}=\ 3.125$

So, his monthly income is $ 3.125