Question

The incomes of Chanda and Kim are in the ratio 5 : 3 and their expenditures are in the ratio 2 : 1. If each saves Rs. 1,000, then Chanda's expenditure is

• A. Rs. 6,000
• B. Rs. 8,000
• C. Rs. 4,000
• D. None of these

Hint:

When solving ratio-based problems, start by converting the ratios into equations, and then solve step-by-step.

Answer 1

The Correct Option is C

Let the incomes of Chanda and Kim be \(5x\) and \(3x\) respectively, and their expenditures be \(2y\) and \(y\) respectively. Since income = expenditure + savings, we have: \[ \text{Income of Chanda} = 5x, \quad \text{Expenditure of Chanda} = 2y \quad \text{and Savings of Chanda} = 1000. \] Thus, we get: \[ 5x - 2y = 1000 \] For Kim, we have: \[ \text{Income of Kim} = 3x, \quad \text{Expenditure of Kim} = y \quad \text{and Savings of Kim} = 1000. \] Thus, we get: \[ 3x - y = 1000 \] Solving these two equations: \[ 5x - 2y = 1000 \] \[ 3x - y = 1000 \] Solving, we get: \[ x = 1000, \quad y = 2000 \] Therefore, Chanda’s expenditure is \( 2y = 2 \times 2000 = 4000 \).