The ratio of monthly incomes of A and B is 3 : 4 and the ratio of their monthly savings is 7 : 6, If the income of A is equal to twice the expenditure of B, then what is the ratio of the expenditures of A and B?

Question

Question

This question was previously asked in

SSC Graduation Level Previous Paper (Held on: 16 Oct 2019)

Answer 1

Given:

Ratio of monthly income of A and B is 3 : 4

Ratio of monthly savings of A and B is 7 : 6

Income of A = 2 × Expenditure of B

Concept used:

Savings = Income - Expenditure

Calculation:

Let the monthly incomes of A and B are 3x and 4x

Their monthly savings are 7y and 6y

According to the question

3x = 2 × (4x – 6y)

⇒ 3x = 8x – 12y

⇒ 8x – 3x = 12y

⇒ 5x = 12y

⇒ x : y = 12 : 5

Income of A = 3x = 3 × 12 = 36

Income of B = 4x = 4 × 12 = 48

Savings of A = 7y = 7 × 5 = 35

Savings of B = 6y = 6 × 5 = 30

Expenditure of A = 36 – 35 = 1

Expenditure of B = 48 – 30 = 18

The ratio of expenditure of A to than that of B is 1 : 18

Note:

This question has been asked in the previous year exam and we have changed the options to give answers accordingly.