Question

A and B's salaries are together equal to Rs. $2100$. A spends $80$% of his salary and B spends $70$%. If their savings are now in the proportion of $4:3$, what is A's salary?

• A. Rs. $900$
• B. Rs. $980$
• C. Rs. $1200$
• D. Rs. $1400$

Answer 1

The correct option is D Rs. $1400$

Salaries of both A and B$=2100$

Let salary of A be a and salary of B be b

$\therefore a+b=2100$

A spends $80$% of his salary

$\therefore$ Savings of A$=20$% salary

$=\frac{a}{5}$

B spends $70$% of his salary

$\therefore$ Savings of B$=30$% salary

$=\frac{3b}{10}$

Savings Ratio$=4:3$

$\frac{a/5}{3b/10}=\frac{4}{3}$

$\frac{3a}{5}=\frac{12}{10}$

$\therefore a=2b$

$a+b=2100$

$\therefore 3b=2100$

$\therefore b=700$

$\therefore a=2b=1400$

$\therefore$Salary of A=Rs. $1400$