Question

Varun started a business by investing 1 lakh. Six months later, Vikram joined him with a capital of Rs.50,000. If at the
end of the year, the total profit is Rs.50,000, then what is Varun's share of profit?
O
Rs. 10,000
Rs. 20,000
Rs. 40,000
Rs. 30,000​

Answer 1

Answer:

Rs. 40,000

Step by step explanation:

1. We find the ratio of the capital of Varun and Vikram as

A:B = 100000 x 12 : 50000 x 6

=> A:B = 4:1

2. Now we consider the addition and difference between their profit share like:

A-B/A+B = x/50000

=> 4-1/4+1 = x/50000

=>3/5 = x/50000

=> x = 30000

Therefore the difference between their share of profit is 30,000

Let profit of Vikarm be y

Then total profit in terms of Vikram's profit is:

y + (y + 30000) = 50000

=> 2y = 20000

=> y = 10000

So share of Vikram in the profit is 10,000. Therefore the share of Varun is 10,000 + 30,000 = Rs. 40,000

Answer 2

Varun's share of profit is Rs. 40,000

Step-by-step explanation:

Given:

Varun's capital investment = Rs.1,00,000

Vikram's capital investement = Rs 50,000

Total profit = Rs.50,000

To find:

Varun's share of profit

Solution:

The profit will be divided by the capital invested ratio

But, as the capital is invested for a different time period, we multiply that time period in months along with the capital invested

So the ratio will be removed as

100000 X 12 : 50000 X 6............(as Vikram invested the capital six months            

                                                      after Varun did)

1200000 : 300000

We simplify the ratio further

And get 4 : 1

So the capital investing ratio is 4 : 1 and the total share is 5

We have to find Varun's share in the profit

Varun's share of profit = 4 X 50000

                                        5

Varun's share of profit = 200000

                                              5

Varun's share of profit = 40,000

∴ Varun's share of profit = Rs.40,000

Thus, Varun's share of profit is Rs.40,000

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