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Question

Annual expenses of A and B are in the ratio 5:3. The saving of A and B are in the ratio 1:2.Find the expenses of A given that the income of A is Rs.8000 and that of B is Rs.9000
  1. 3000
  2. 5000
  3. 1000
  4. 7000

A
7000
B
3000
C
5000
D
1000
Solution
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The correct option is B 5000

Given

Income of A is 8000

Income of B is 9000

Expense Ratio is 5:3

Let the common factor be x

So Expenses of A are 5x

Expenses of B are 3x

Savings Ratio is 1:2

Let the common factor be y

So Savings of A are y

Savings of B are 2y

According to Question

5x+y=8000(1)

3x+2y=9000(2)

2(1)(2)

10x+2y3x2y=160009000

7x=7000

x=1000

Expenses of A is 5x=5×1000=5000

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