Question 19

A and Bearn in the ratio 2 : 1. They spend in the ratio 5 : 3 and save in the ratio 4 : 1. If the total monthly savings of both A and B are Rs. 5,000, the monthly income of B is

Solution

A : B ( savings ratio ) = 4 : 1

total savings = 5000

A's savings = 4000

B's savings = 1000

income = expenditure + saving

$$ \frac{2}{1} = \frac{5x + 4000}{3x + 1000} $$

solving

2(3x + 1000) = 5x + 4000

6x + 2000 = 5x + 4000

x = 2000

B's income = 1000 + 3x

= $$ 1000 + 3 \times 2000 $$

= 7000

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