Question

Three partners A, B and C shared the profit in a software business in the ratio $5:7:8$. They had partnered for $14$ months, $8$ months and $7$ months respectively. Find the ratio of their investments?

• A. $20:49:64$
• B. $20:39:64$
• C. $14:17:64$
• D. $20:49:67$

Answer 1

Answer: (A)

$20:49:64$

Let their investments be Rs. $x$ for $14$ months, Rs. $y$ for $8$ months and Rs. $z$ for $7$ months respectively.

Then, $14x:8y:7z=5:7:8$

consider,

$\frac{14x}{8y}=\frac{5}{7}$

$\therefore y=\frac{49}{20}x$

And, $\frac{14x}{7z}=\frac{5}{8}$

$\therefore z=\frac{16}{5}x$

So, $x:y:z=x:\frac{49}{20}x:\frac{16}{5}x$

$\therefore x:y:z=20:49:64$

So the option is A