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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 Rs. 200 per week, then the sum of their weekly income is

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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 Rs. 200 per week, then the sum of their weekly income is
1). Rs.3600
2). Rs.3200
3). Rs.4800
4). Rs.5600

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2 answers

0 vote
Answered by on | Votes 0 |
Rs.3200 seems correct.

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3 vote
Answered by on | Votes 3 |

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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