Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

A. 5 : 7 : 8 B. 20 : 49 : 64 C. 38 : 28 : 21 D. None of these Answer: Option B

Solution(By Apex Team)

$\begin{array}{l}\text{Let their investments be}\\ \text{Rs. x for 14 months,}\\ \text{Rs. y for 8 months and}\\ \text{Rs. z for 7 months respectively.}\\ \text{Then,}\\ 14x\ :\ 8y\ :\ 7z\\ =5\ :\ 7\ :\ 8\end{array}$ \begin{aligned}\text{ Now },\frac{14x}{8y}=\frac{5}{7}&\\ 98x&=40y\\ y=&\frac{49}{20}x\\ \text{ And, }\frac{14x}{7z}=\frac{5}{8}&\\ 112x=35z&\\ &z=\frac{112}{35}x=\frac{16}{5}x\\ &\therefore x:y:z\\ =&x:\frac{49}{20}x:\frac{16}{5}x\\ =&20:49:64\end{aligned}

A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these

A. Rs. 4000
B. Rs. 5000
C. Rs. 6000
D. Rs. 7000

A. Rs. 2380
B. Rs. 2300
C. Rs. 2280
D. Rs. 2260