Three partners shared the profit in 9 : 8 : 10. They invested for 4 months, 6 months and 1 year. What was the ratio of their investments?
Answer & explanation
Correct answer: option 1
Profit = Investment × time
Inv. → x : y : z
Time → 4 : 6 : 12
Profit → 9 : 8 : 10
x= \(\frac{9}{4}\)
y = \(\frac{8}{6}\) = \(\frac{4}{3}\)
z = \(\frac{10}{12}\) = \(\frac{5}{6}\)
So, x : y : z = \(\frac{9}{4}\) : \(\frac{4}{3}\) : \(\frac{5}{6}\) = \(\frac{81\;:\;48\;:\;30}{36}\)
x : y : z = 81 : 48: 30