Question

Q)The monthly incomes of A and B are in the ratio 3:5 and the ratio of their savings is 2:3. If the income of B is equal to three times the savings of A, then what is the ratio of the expenditure of A and B ?
A) 8:15
B) 3:7
C) 7:11
D) 5:8​

Answer 1

A) 8:15

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Answer 2

Answer:

Option A is Correct 8:15.

Solution:

Given:

Monthly incomes of A and B are in the ratio = 3 ∶ 5

The ratio of their savings = 2 ∶ 3

The income of B = 3 × Savings of A

Concept used:

Income = Savings + Expenditure

Calculations:

Let the monthly income of A and B be 300 and 500 and the savings be 2x and 3x respectively

⇒ 500 = 3 × 2x

⇒ 500 = 6x

⇒ x = 250/3

Expenditure of A = Income of A – Savings of A

⇒ 300 – 2 × (250/3)

⇒ (900 – 500)/3

⇒ 400/3

Expenditure of B = Income of B – Savings of B

⇒ 500 – 3 × (250/3)

⇒ 500 – 250

⇒ 250

Ratio of expenditure of A and B = (400/3)/250

⇒ 400/750

⇒ 8/15

∴ The ratio of the expenditures of A and B is 8 ∶ 15

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