Question 20

The monthly salaries of A and B together amount to ` 40,000. A spends 85% of his salary and B, 95% of his salary. If now their savings are the same, then the salary (in `) of A is

Solution

Let a and b represent salaries of A and B respectively

then $$a+b=40000$$...(I)

After spending 85% of his salary, savings of A will be = (0.15)a

After spending 95% of his salary, savings of A will be = (0.05)b

Their saving are equal, therefore (0.15)a = (0.05b) or 3a=b ...(II)

Solving eqn (I)and (II) we get a = 10,000

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