Rakesh, Amit and Suresh started a business. Rakesh invested \(\frac{1}{2}\) part, Amit \(\frac{1}{3}\) part and rest of the capital was invested by Suresh. The ratio of their profits will be:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 3 : 2 : 1
When partners invest for the same period, the profit is shared in the ratio of their capitals. The question gives no different periods, so the three shares of the capital decide the ratio.
Rakesh: \(\frac{1}{2}\) of the capital
Amit: \(\frac{1}{3}\) of the capital
Suresh, the rest: \(\displaystyle 1-\frac{1}{2}-\frac{1}{3}=\frac{6-3-2}{6}=\frac{1}{6}\)
Ratio \(\displaystyle \frac{1}{2}:\frac{1}{3}:\frac{1}{6}\); multiplying each term by 6 gives \(3:2:1\)