Question

Chaitanya and Aditya started a business in partnership by investing Rs.
12,000 and Rs. 15,000 respectively. If, at the end of one year, Chaitanya's
share in the profit was Rs. 1200, what is the amount of the overall profit?
O a. Rs. 2400
O b. Rs. 2700
c. Rs. 2800
O d. Rs. 3000

Answer 1

Answer:

2700

because profit rate by calculating is 10%

so 10 %of 15000 is 1500

so 1200+1500 is 2700

Answer 2

Option B : Total amount of overall profit made by the business as Rs. 2700.

Given :

Investment by Chaitanya = Rs. 12,000

Investment by Aditya = Rs. 15,000

Profit earned by Chaitanya = Rs. 1,200

To Find :

The overall profit of the business

Solution :

• The share of profit or loss in any business is the same as the share of investment
• If the investment contribution of a person in any business is X%, his profit share will be X% if the company makes a profit and his loss share will also be X% if the company makes a loss.
• The ratio of Investment and Profit remains the same :

                             $I_{1} /I_{2} = P_{1} /P_{2}$

Here, we have the investment of Chaitanya : $I_{c} = 12000$

Investment of Aditya : $I_{a} = 15000$

Profit of Chaitanya : $P_{c} = 1200$

Thus, we can find the profit share of Aditya as :

                        $I_{c} /I_{a} = P_{c} /P_{a}\\\\12000 /15000 = 1200 /P_{a}\\\\P_{a} = (15000 * 1200)/12000\\\\P_{a} = (15000)/10\\\\P_{a} = Rs. 1500$

So, now the total profit of the business can be calculated as :

       Total Profit = Profit share of Chaitanya + Profit share of Aditya

                          = Rs. 1200 + Rs. 1500

                          = Rs. 2700

Hence, the total profit made by the business is Rs. 2700.

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