Question

Ramesh and Suresh started a partnership
with an initial investment of Rs 41400 and
Rs 55200.After few months Mohan also
joined with an 16(2/3)% investment less than
to that of suresh. If after 15 months Mohan
claimed (16/79) of total profit. Find after how
many months did Mohan joined.​

A) 6 months

B) 8 months

C) 9 months

D) 12 months

E) none

Answer 1

c 9 months is the answers

Answer 2

Given :

The investment amount of Ramesh = Rs 41400

Investment months for Ramesh = 15

The investment amount of Suresh = Rs 55200

Investment months for Suresh = 15

The investment amount of Mohan = 16$\dfrac{2}{3}$ % less than Suesh investment

The profit claim by Mohan = $\dfrac{16}{79}$ of total profit

To Find :

The number of months after that Mohan joined

Solution :

Let The number of months after that Mohan joined = x months

∵  investment amount of Mohan = 16$\dfrac{2}{3}$ % less than Suesh investment

                                                      = investment amount of Suresh -  16$\dfrac{2}{3}$ % ×

                                                               investment amount of Suresh

                                                     = Rs 55200 - $\dfrac{50}{3}$ % ×  Rs 55200

                                                     = Rs 55200 - Rs 9218.4

                                                    = Rs 45982

Now,

Ramesh contribution for 15 months : Suresh contribution for 15 months : Mohan contribution for ( 15 - x ) months

ie  Rs 41400 × 15  : Rs 55200 × 15 : Rs 45982 × ( 15 - x )

Or,   621000 : 828000 : 689730 - 45982 x

So,

∵ Mohan's share =  $\dfrac{16}{79}$ of total profit

And Mohan's share = $\dfrac{689730 - 45982 x}{621000+828000+689730 - 45982 x}$ of total profit

i,.e $\dfrac{689730 - 45982 x}{621000+828000+689730 - 45982 x}$ of total profit = $\dfrac{16}{79}$ of total profit

Or,  $\dfrac{689730 - 45982 x}{621000+828000+689730 - 45982 x}$ = $\dfrac{16}{79}$

Or,  79 ( 689730 - 45982 x ) = 16 ( 2138730 - 45982 x )

Or,  54488670 - 3632578 x = 34219680 - 735712 x

Or,   54488670 -  34219680 = 3632578 x - 735712 x

Or,  2896866 x = 20268990

∴                     x = $\dfrac{20268990}{2896866}$

i.e                   x = 6.9  = 7

So, Number of months = 7

Hence, Mohan joined the partnership after 7 months  Answer