The ratio of weekly income of A and B is 9 : 7 and the ratio of their expenditures is 4 :3. If each saves Rs. 200 per week, then the sum of their weekly income is
1). Rs.3600
2). Rs.3200
3). Rs.4800
4). Rs.5600
Let A’s and B’s weekly income
be rs 9x and rs 7x and their expenditures
be rs 4y and rs 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 = rs 3200
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