Correct Answer - Option 2 : Rs. 42,000
Given :
The ratio of the income of X and Y is 4 : 3.
The ratio of monthly expenses of X and Y is 3 : 2.
X and Y save 6000 rupees each month.
Concept used :
Savings = Income - expense
Calculations :
Let the ratio of monthly income of X and Y be 4a and 3a respectively.
Let the ratio of monthly expenses of X and Y be 3b and 2b respectively.
Savings of X = 4a - 3b
4a - 3b = 6000 ....(1)
Savings of Y = 3a - 2b
3a - 2b = 6000 ....(2)
Solving equation 1 and 2
We get a = 6000 and b = 6000
Total monthly income of X and Y = 4a + 3a = 7a
⇒ 7 × 6000
⇒ 42000 rupees
∴ Option 2 is the correct answer.