Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
The sum of the salaries of $A$ and $B$ is ₹ 2100. $A$ spends 80\% of his salary and $B$ spends 70\% of his salary. If their savings are in the proportion of 4 : 3, then what is the salary of $A$ ?
(a)₹ 700
(b)₹ 900
(c)₹ 1200
(d)₹ 1400
Answer
Answer (as printed): D
Explanation
Clearly, $A$ and $B$ save 20\% and 30\% of their respective salaries. Let the salaries of $A$ and $B$ be $x$ and $y$ respectively. Then, $\frac{20 \% \text { of } x}{30 \% \text { of } y}=\frac{4}{3} \Rightarrow \frac{x}{5} \times \frac{10}{3 y}=\frac{4}{3} \Rightarrow \frac{x}{y}=2 \Rightarrow x=2 y$. $$\begin{aligned} & \therefore x+y=2100 \Rightarrow 2 y+y=2100 \\ & \Rightarrow 3 y=2100 \Rightarrow y=700 . \end{aligned}$$ A's salary $=x=2 y=₹(2 \times 700)=₹ 1400$.
Explanation as extracted from the printed page; notation may be imperfect.