Question

The ratio of the incomes of Amar and Komal is 5 ∶ 4 and the ratio of their expenditure is 2 ∶ 1. If each of them saves Rs. 6,000 per month, find Amar’s income.
1. Rs. 12000
2. Rs. 8000
3. Rs. 6000
4. Rs. 10000

Answer 1

Correct Answer - Option 4 : Rs. 10000

Given:

Ratio of income of Amar & Komal is 5 : 4

Ratio of expenditure of Amar & Komal is 2 : 1

They both saves 6000 Rupees

Calculations:

Let the income of Amar & Komal be 5x & 4x

Let the expenditure of Amar and Komal be 2y & y.

We know that

Savings = Income - Expenditure

So

⇒ 5x – 2y = 6000      ----(1)  (saving of Amar)

⇒ 4x – y = 6000       ----(2) ( saving of Komal)

Solving both equations, we get

⇒ x= 2000 & y = 2000

Amar’s income = 5x = 10000

∴ The correct choice is option 4.