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The ratio of monthly incomes of A, B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of...
The ratio of monthly incomes of A, B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs.400 per month find the sum of their monthly incomes.
A
2100
B
2500
C
2400
D
2300
E
2200
A
2100
B
2500
C
2400
D
2300
E
2200
Solution
Let the monthly incomes of A and B be 6a and 5a respectively.
Monthly expenditures of A, B be 4b and 3b respectively.
Each save Rs.400
⇒ 6a...
Let the monthly incomes of A and B be 6a and 5a respectively.
Monthly expenditures of A, B be 4b and 3b respectively.
Each save Rs.400
⇒ 6a − 4b = 400 ———> (1)
⇒ 5a − 3b = 400 ———> (2)
Solving equations (1) and (2) we get
a = 200
⇒ Sum of their incomes = 6a + 5a = 11a
= 11 × 200 = Rs.2200
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