Incomes of Teena and Sheena are in the ratio of 2 ∶ 3 and their expenditures are in the ratio of 3 ∶ 5. If each saves Rs. 1,000, then Teena's income is:

Question

Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 23 Jan 2023 Shift 3)

Answer 1

Given:

Ratio of Teena's income to Sheena's income = 2 ∶ 3

Ratio of Teena's expenditure to Sheena's expenditure = 3 ∶ 5

Each saves Rs. 1000

Concept:

Income = Expenditure + Savings

Solution:

Let 2x and 3x be the incomes of Teena and Sheena, respectively. Let 3y and 5y be their expenditures, respectively.

Using the fact that each saves Rs. 1000, we get two equations: 2x - 3y = 1000 and 3x - 5y = 1000.

Solving these two equations, we find x = 2000 and y = 1000.

Hence, Teena's income is 2x = 2 × 2000 = Rs. 4000.

Hence, Teena's income is Rs. 4000.

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