Question

The ratio of monthly income to the savings in a family is 5:4 If the savings be $9000, find the income and expenses.A. $11,250 and $2,250B. $12,000 and $3,000C. $11,500 and $2,500D. $11,000 and $2,000

Answer 1

The ratio of Income to Savings is given as

$5\colon4$

and the savings is $9000.

Let us assume that the income is $x. Hence, we can write out the ratio as

$x\colon9000$

Therefore, we can solve for the income by comparing both ratios as follows:

$\begin{gathered} \frac{5}{4}=\frac{x}{9000} \\ x=\frac{5\times9000}{4} \\ x=11250 \end{gathered}$

The income is $11,250.

The expenses can be calculated by subtracting the savings from the income.

Hence, we have the expenses to be

$11250-9000=2250$

The expenses cost is $2,250.

Therefore, the correct answer is OPTION A.