Three partners Ramesh, Suresh and Mahesh shared the profit in a business in the ratio 5 : 4 : 7 respectively, they invested the money for 10 months, 8 months and 6 months respectively then ratio of their investment is :
Answer & explanation
Correct answer: option 2
Profit ratio $=5:4:7$
Time of investment
Ramesh $=10$ months
Suresh $=8$ months
Mahesh $=6$ months
Profit ratio $\propto$ Investment $\times$ Time
Let investments be $R,S,M$
$R\times10 : S\times8 : M\times6 = 5:4:7$
$R:S:M = \frac{5}{10} : \frac{4}{8} : \frac{7}{6}$
$= \frac{1}{2} : \frac{1}{2} : \frac{7}{6}$
Multiply by $6$
$=3:3:7$
The ratio of their investments is $3:3:7$.