The total income of three families is ₹72,000. Their expenditures are 80%, 85% and 75%, respectively. If the savings are in the ratio 8 : 9 : 20, then the income of the second family is:

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Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 09 Jul, 2024 Shift 2)

Answer 1

Given:

The total income of three families is ₹72,000. Their expenditures are 80%, 85%, and 75%, respectively. The savings are in the ratio 8:9:20.

Formula used:

Income = Expenditure + Savings

Calculation:

Let the incomes of the three families be I₁, I₂, and I₃.

Given: I₁ + I₂ + I₃ = 72000

Expenditures: 0.8I₁, 0.85I₂, 0.75I₃

Savings: 0.2I₁, 0.15I₂, 0.25I₃

Given savings ratio: 8:9:20

Let savings be 8k, 9k, and 20k, respectively.

⇒ 0.2I₁ = 8k

⇒ 0.15I₂ = 9k

⇒ 0.25I₃ = 20k

⇒ I₁ = 40k

⇒ I₂ = 60k

⇒ I₃ = 80k

Total income: I₁ + I₂ + I₃ = 72000

⇒ 40k + 60k + 80k = 72000

⇒ 180k = 72000

⇒ k = 400

⇒ I₂ = 60k = 60 × 400 = 24000

∴ The correct answer is option 4.

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