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The ratio of weekly income of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves ₹ 200 per week, then the sum of their weekly income is
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- ₹ 3,600
- ₹ 3,200
- ₹ 4,800
- ₹ 5,600
Correct Option: B
Let A’s and B’s weekly income be ₹ 9x and ₹ 7x and their expenditures be ₹ 4y and 3y respectively.
Then, 9x – 4y = 200 ...(i)
and 7x – 3y = 200 ...(ii)
⇒ 9x – 4y = 7x – 3y
⇒ 9x – 7x = 4y – 3y
⇒ 2x = y ...(iii)
From equation (i),
9x – 4y = 200
⇒ 9x – 8x = 200
⇒ x = 200
∴ Sum of their weekly income
= 16x = 16 × 200 = ₹ 3200
