Question

There are three partners a, b and c in a business. A puts rs. 2000 for 5 months, b puts rs. 1200 for 6 months and c puts rs. 2500 for 3 months. Find the ratio of their shares in the profit? Select one:

Answer 1

A puts 2000 for 5 months
B puts 1200 for 6 months
C puts 2500 for 3 months
A+B+C
2000+1200+2500=5700
then a b c =3 share is 5700/3
1900 for each

Answer 2

Given :

There are three partners a, b and c in a business

A puts Rs 2000 for 5 months

B puts Rs 1200 for 6 months

C puts Rs 2500 for 3 months

To Find :

The ratio of shares in the profit

Solution :

Let The total profit earn at the end = Rs x

Now,

The ratio of equivalent capitals of A , B , C for  1 month

  Rs 2000 × 5 months  :  Rs 1200 × 6 months :  Rs 2500 × 3 months

Or,  100  :  72  : 75

Sum of ratio = 100 + 72 + 75 = 247

∵  Total profit amount = Rs x

So,  

A ' s share = $\dfrac{100}{247}$ × Rs x

B ' s share = $\dfrac{72}{247}$ × Rs x

C ' s share = $\dfrac{75}{247}$ × Rs x

Or, The ratio of share in profit =  A'share : B's share : C' share

                                                   = $\dfrac{100}{247}$ × Rs x : $\dfrac{72}{247}$ × Rs x  : $\dfrac{75}{247}$ × Rs x

                                                    = Rs 100 : Rs 72 : Rs 75

Hence,  The ratio of share in profit among A , B , C is  Rs 100 : Rs 72 : Rs 75  Answer