Dilip, Ram and Avtar started a shop by investing ₹ 2700, ₹ 8100 and ₹ 7200 respectively. At the end of one year, the profit earned was distributed. If Ram's share was ₹ 3600, what was their total profit?
(a)₹ 8000
(b)₹ 10800
(c)₹ 11600
(d)Data inadequate
Answer
Answer (as printed): A
Explanation
Dilip : Ram : Avtar $=2700: 8100: 7200=3: 9: 8$. Let the total profit be ₹ $x$. Then, Ram's share $=₹\left(\frac{9}{20} x\right)$. $\therefore \frac{9}{20} x=3600 \Rightarrow x=\left(\frac{3600 \times 20}{9}\right)=8000$. Hence, total profit $=₹ 8000$.
Explanation as extracted from the printed page; notation may be imperfect.