A, B and C start a business. A invests 4 times as much as B, and B invests \(\frac{2}{5}\) of what C invests. At the end of the year they make a profit of Rs 7,500. Find C’s share in the profit (in Rs).
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 2500
All three keep their money in for the same year, so the profit is shared in the ratio of the investments. Taking C’s investment as a convenient number gives the ratio in whole numbers.
Let C invest 5 parts; then B invests \(\frac{2}{5}\times5=2\) parts
A invests \(4\times2=8\) parts
A : B : C \(=8:2:5\), total \(15\) parts
C’s share \(\displaystyle =\frac{5}{15}\times7500=\) Rs 2,500
C’s share is Rs 2,500.