The ratio of income of two persons is 5 : 3 and that of

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The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. Find the income of each person, if they save ₹ 1,300 and ₹ 900 respectively.

1. ₹ 4,000, ₹ 2,400
2. ₹ 3,000, ₹ 1,800
3. ₹ 5,000, ₹ 3,000
4. ₹ 4,500 ₹ 2,700

Correct Option: A

Let income of two persons be 5x and 3x.
and their expenses be 9y and 5y respectively.
Then, 5x – 9y = 1300 ..(i)
and 3x – 5y = 900 ..(ii)
By 9 × (ii) – 5 × (i), we get

⇒ x = 800
Now, income of first person
= 5x = 5 × 800 = ₹ 4000
and that of second person
= 3x = 3 × 800 = ₹ 2400