Question

A starts a business with rs. 40,000. after 2 months, b joined him with rs. 60,000. c joined them after some more time with rs. at the end of the year, out ofa total profit of rs. 375,000, c gets rs. as his share. how many months after b joined the business did c join ?

a. 5
b. 6
c. 8
d. 9

Answer 1

To find the number of months after B joined the business that C joined, we can use the given information to solve an equation and test the answer choices. Substituting 5 months for C gives a value close to 375,000, indicating that the correct answer is a. 5 months. Option A is correct.

Step-by-step explanation:

Let's calculate the share of profit for each person:

A invested Rs. 40,000 for the whole year, so his share of profit is:

A's Share: Rs. 40,000 / Total Investment * Total Profit = Rs. 40,000 / (40,000 + 60,000 + C's investment) * 375,000

B invested Rs. 60,000 for 10 months (12 months - 2 months), so his share of profit for 10 months is:

B's Share: Rs. 60,000 / Total Investment * Total Profit = Rs. 60,000 / (40,000 + 60,000 + C's investment) * 375,000

C profit is given as Rs. (375,000 - A's Share - B's Share).

Using the given information, we can create the equation:

C = 375,000 - Rs. 40,000 / (40,000 + 60,000 + C's investment) * 375,000 - Rs. 60,000 / (40,000 + 60,000 + C's investment) * 375,000

We can solve this equation to find the value of C. Since the answer choices are in months, we can try the answer choices and see which one satisfies the equation.

If we substitute 5 months for C, we get a value close to 375,000. Therefore, the correct answer is a. 5 months.