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The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saved Rs. 200 per...

The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saved Rs. 200 per week, then the sum of their weekly incomes is ?

A

Rs.5600

B

Rs.4800

C

Rs.4200

D

Rs.3600

E

Rs.3200

A

Rs.5600

B

Rs.4800

C

Rs.4200

D

Rs.3600

E

Rs.3200

Solution

Let the incomes of A and B be Rs.9a and Rs.7a respectively. Let the expenditures of A and b be Rs.4b and Rs.3b respectively. Given each saved Rs.200  Savings of A =...

Let the incomes of A and B be Rs.9a and Rs.7a respectively.

Let the expenditures of A and b be Rs.4b and Rs.3b respectively.

Given each saved Rs.200 

Savings of A = 9a âˆ’ 4b = 200 ———–>(1)

Savings of B = 7a âˆ’ 3b = 200————->(2)

Solving (1) and (2) we get

a = 200 and b = 400

⇒ sum of their weekly incomes is = 9a + 7a

= 16a = 16 Ã— 200

= Rs.3200

 

 

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