Question

U
A, B and Center into a partnership by pooling the capital. A advances one-third of the capital for
one third of the time. B advances half of the capital for half of the time. Cadvances the remaining
part of the capital for whole the period. The ratio in which they divide the profit obtained in the
business is?
AP SI 2019
1) 3:2:7
2) 4:16:9
3) 4:9:6
4) 6:9:11​

Answer 1

Answer:

Ratio of a : b : c = 4 : 9 : 6

Step-by-step explanation:

Consider the total amount = x

Total time = y

A advances one-third of the capital for one third of the time.

Amount = 1/3 x

Time = 1/3 y

B advances half of the capital for half of the time.

Amount = 1/2 x

Time = 1/2 y

Amount remaining = 1 - ( 1/3 + 1/2 ) = 1/6

Cadvances the remaining part of the capital for whole the period.

Amount = 1/6 x

Time = y

$ratio \: \: a : \: b : \: c = \frac{1}{3} x \times \frac{1}{3} y : \frac{1}{2} x \times \frac{1}{2} y : \frac{1}{6} x \times y$

Cancelling all the Common terms

$ratio \: of \: a : \: b : \: c = \frac{1}{9} : \frac{1}{4} : \frac{1}{6}$

LCM = 36

$ratio \: of \: a : \: b : \: c = \frac{4}{36} : \frac{9}{36} : \frac{6}{36}$

ratio of a : b : c = 4 : 9 : 6