Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9. If each saves Rs.50 per month, then their monthly incomes are:

Options:

Rs.900; Rs.500

Rs.400; Rs.500

Rs.700; Rs.900

Rs.400; Rs.700

Correct Answer:

Rs.400; Rs.500

Explanation:

                       I   :  II

Income           4   :   5

Expenditure    7   :   9

___________________

Savings =   -50     -50            (Income - Expenditure)

                 

$\frac{4R\;-\;50}{5R\;-\;50} = \frac{7}{9}$

Using cross - multiplication method, 

⇒ 36R - 35R = (-50 x 7) - (-50 x 9)

⇒              R = 100

Their income = 400, 500