Q: Chetan and Dinesh's incomes are distributed in a 3:4 ratio. Their expenditures are distributed in a 5:7 ratio. Find the earnings of both if each of them saves Rs.200.

A Rs.1200, Rs.1600
B Rs.1200, Rs.800
C Rs.1200, Rs.1000
D Rs.1000, Rs.1600
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Answer: A


The savings of Chetan and Dinesh are 3x – 5y and 4x – 7y respectively.
3x – 5y = 200 --- (1)
4x – 7y = 200 --- (2)
Multiplying (1) by 7 and (2) by 5 and subtracting the resultant equation (2) from resultant equation (1), we get x = 400.
The incomes of Chetan and Dinesh are 3x = Rs.1200 and 4x = Rs.1600 respectively.

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