Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2009 · Marks: · Difficulty:
The incomes of Mr. Gupta and Mr. Verma are in the ratio 9 : 4 and their expenditures are in the ratio $7: 3$. If each saves ₹ 2000, then Mr. Gupta's expenditure is
(a)₹ 60000
(b)₹ 70000
(c)₹ 80000
(d)₹ 90000
Answer
Answer (as printed): B
Explanation
Let the incomes of Mr. Gupta and Mr. Verma be ₹ $9 x$ and ₹ $4 x$ respectively and their expenditures be ₹ $7 y$ and ₹ $3 y$ respectively. Then, $9 x-7 y=4 x-3 y \Rightarrow 5 x=4 y \Rightarrow x=\frac{4 y}{5}$. Now, $9 x-7 y=2000 \Rightarrow 9 \times \frac{4}{5} y-7 y=2000$ $\Rightarrow \frac{36}{5} y-7 y=2000 \Rightarrow y=10000$. ∴ Mr. Gupta's expenditure $=₹(7 \times 10000)=₹ 70000$.
Explanation as extracted from the printed page; notation may be imperfect.