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The monthly income of two persons are in the ratio 2 : 3 and their monthly expenses are in the ratio 5 : 9. If each of them saves ₹ 600 per month, then their monthly incomes are
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- ₹ 1,500; ₹ 2,250
- ₹ 1,200; ₹ 1,800
- ₹ 1,600; ₹ 2,400
- ₹ 1,400; ₹ 2,100
Correct Option: C
Let the income of two persons (A and B) be ₹ 2x and ₹ 3x respectively. Again let the expenditures of A and B be ₹ 5y and ₹ 9y respectively.
∴ 2x– 5y = 600 ...(i)
3x – 9y = 600 ...(ii)
From equations (i) and (ii),
2x – 5y = 3x – 9y
⇒ x = 4y
From equation (i),
2 × 4y – 5y = 600
⇒ 3y = 600
= y = 200
∴ x = 4 × 200 = 800
∴ A’s income = 2x = 2 × 800
= ₹ 1600
B’s income = 3x = 3 × 800
= ₹ 2400
