Three partners shared the profit in a business in the ratio of 10 : 12 : 13 . They invested the capital for 2 months, 6 months, and 5 months. What was the ratio of their capitals?
Answer & explanation
Correct answer: option 3
Profit = Investment × time
I : II : III
Time ⇒ 2 : 6 : 3
Profit ⇒ 10 : 12 : 13
----------------------------------------
Inv. ⇒ \(\frac{10}{2}\) : \(\frac{12}{6}\) : \(\frac{13}{3}\)
= 5 : 2 : \(\frac{13}{3}\) = 15 : 6 : 13
[*Inv. Ratio = \(\frac{Profit\;ratio}{Time.\;ratio}\)]