The sum of the salaries of A and B is ₹42,000. A spends 75% of his salary and B spends 90% of his salary. Now their savings are the same. What is B’ssalary (in ₹)?
let the salary of A=A and the salary of B=B
A+B=42000.....(1)
expenditure of A=75 %of A= $$\frac{3}{4}$$ A
expenditure of B=90% of B= $$\frac{9}{10}$$ B
saving of A= $$\frac{1}{4}$$ A
saving of B= $$\frac{1}{10}$$ B
saving of A=saving of B
$$\frac{1}{4}$$ A= $$\frac{1}{10}$$ B
$$\frac{A}{B}$$= $$\frac{2}{5}$$
so, from the ratio, salary of A=2x and salary of B=5x
from equation (1),
2x+5x=42000
x=6000
salary of B= 5x=5*6000=30000
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