Problem: 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?
View all: BANGLADESH SAMABAY BANK (OFFICER)| WRITTEN QUESTION (MATH) SOLVE | 2015
Correct Answer: 20 : 49 : 64
Explanation:
Let, their investments are = x, y & z
The first partner’s investment will be 14x TK
Second partner’s investment will be 8y TK
Third partner’s investment will be 7z TK.
So we get from above information,
$\frac{14x}{8y}=\frac{5}{7}$
=> $\frac{7x}{4y}=\frac{5}{7}$
=> $\frac{x}{y}$= $\frac{20}{49}$
x:y = 20 : 49
again ,$\frac{8y}{7z}$ = $\frac{7}{8}$
=> $\frac{y}{z}$ = $\frac{49}{64}$
y : z = 49 : 64
x : y : z = 20 : 49 : 64