Question : Raman, Manan, and Kamal are partners and invest in a business such that Raman invests $\frac{2}{5}$th of the total and Manan invests $\frac{3}{8}$th of the total. What is the ratio of profits of Raman, Manan and Kamal, respectively?
Option 1: 16 : 15 : 9
Option 2: 16 : 15 : 31
Option 3: 2 : 3 : 5
Option 4: 15 : 16 : 9
Correct Answer: 16 : 15 : 9
Solution :
Raman’s share = $\frac{2}{5}$ × 100 = 40%
Manan’s share = $\frac{3}{8}$ × 100 = 37.5%
⇒ Kamal’s share = 100 – 40 – 37.5 = 22.5
$\therefore$ Ratio of Raman : Manan : Kamal = 40 : 37.5 : 22.5 = 16 : 15 : 9
Hence, the correct answer is 16 : 15 : 9.
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