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

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