Question

Sohan started a business with a capital of rs. 80000. After 6 months mohan joined as a partner by investing rs. 65000. After one year they earned total profit rs. 20000. What is share of sohan in the profit?

Answer 1

Sohan's share of profit is Rs 14222.22

Answer 2

Answer:

14,222.22 rupees

Step-by-step explanation:

Given,

The investment of Sohan = 80000 rupees,

Time = 1 year = 12 months,

While, the investment of Mohan = 65000 rs,

Time = 6 months,

We know that,

Profit is jointly proportional to investment and time,

Thus, the ratio of profits of Sohan and Mohan

= 80000 × 12 : 65000 × 6

= 960000 : 390000

= 96 : 39

= 32 : 13

Let Sohan's profit = 32x and Mohan's profit = 13x,

Where, x is any positive real number,

So, the total profit = 32x + 13x = 45x

According to the question,

45x = 20000

$\implies x = \frac{20000}{45}$

Hence, the share of Sohan in the profit = 32x = $32\times \frac{20000}{45}$

$= \frac{640000}{45}$

= 14,222.22 rupees