Incomes of x and y are in the ratio 4:3. Their expenditures

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Incomes of x and y are in the ratio 4:3. Their expenditures are in the ratio 12:7. Both save Rs. 3200 at the end of the month, then the income of x is

1. ₹ 8000
2. ₹ 6000
3. ₹ 2000
4. ₹ 4000

Correct Option: A

x’s income = Rs. 4a
y’s income = Rs. 3a
x’s expenditure = Rs. 12b
y’s expenditure = Rs. 7b
∴ 4a – 12b = 3200
⇒ a – 3b = 800 ...(i)
Again, 3a – 7b = 3200 ...(ii)
By equation (i) × 7 – (ii) × 3,

⇒ a = 2000
⇒ x’s income = 4a
= 4 × 2000 = Rs. 8000