Three partners shared the profit in a business in the ratio of 8 : 12 : 20 . They invested the capital for 3 months , 4 months , and 5 months . What was the ratio of their capitals?
Answer & explanation
Correct answer: option 3
Profit = Investment × time
I : II : III
Time ⇒ 3 : 4 : 5
Profit ⇒ 8 : 12 : 20
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Inv. ⇒ \(\frac{8}{3}\) : \(\frac{12}{4}\) : \(\frac{20}{5}\)
= \(\frac{8}{3}\) : 3 : 4 = 8 : 9 : 12
[*Inv. Ratio = \(\frac{Profit\;ratio}{Time.\;ratio}\)]