A, B and C invest in a business for two years, and \(\frac{1}{2}\) of A’s capital \(=\frac{1}{3}\) of B’s capital \(=\frac{3}{5}\) of C’s capital. Out of a total profit of Rs 4,500 after two years, find A’s share (in Rs).
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 1350
All three invest for the same two years, so the profit is shared in the ratio of the capitals. Setting the three equal amounts to a common value \(k\) gives each capital.
A \(=2k\), B \(=3k\), C \(\displaystyle =\frac{5k}{3}\)
A : B : C \(\displaystyle =2:3:\frac{5}{3}\); multiplying by 3 gives \(6:9:5\), total 20
A’s share \(\displaystyle =\frac{6}{20}\times4500=1350\)
A’s share is Rs 1,350.