Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
If an amount of ₹ 1,50,000 is shared among $A, B$ and $C$ in the ratio of 2 : 3 : 5, then $A$ receives the same amount as he would receive if another sum of money is shared between $A, B$ and $C$ in the ratio of $5: 3: 2$. The ratio of ₹ 1,50,000 to the second amount of money is
(a)2 : 3
(b)3 : 2
(c)5 : 2
(d)5 : 3
Answer
Answer (as printed): C
Explanation
Let the second amount be ₹ $x$. Then, $A$ 's share from first amount $$=₹\left(150000 \times \frac{2}{10}\right)=₹ 30000 .$$ $A$ 's share from second amount $=₹\left(x \times \frac{5}{10}\right)=₹ \frac{x}{2}$. $$\therefore \frac{x}{2}=30000 \text { or } x=60000 .$$ Required ratio $=150000: 60000=5: 2$.
Explanation as extracted from the printed page; notation may be imperfect.