Select the correct answerA started a business with Rs. 18000. After 4 months B joins with Rs. 24000. After 2 more months C joins with Rs. 30000. At the end of 10 months C received Rs. 1850 as his share. Find the total profit?OptionsRs. 9030Rs. 1955Rs. 6510Rs. 6845

To find the total profit, we need to calculate the individual shares of A, B, and C first.

Let's start by calculating the share of C. We know that C received Rs. 1850 as his share after 10 months. Since C joined after 6 months, his share will be calculated for the remaining 4 months.

Let's assume the total profit at the end of 10 months is P.

The share of C for 4 months can be calculated as (1850/10) * 4 = Rs. 740.

Now, let's calculate the share of A and B for the entire 10 months.

A invested Rs. 18000 and B invested Rs. 24000. The ratio of their investments is 18000:24000, which simplifies to 3:4.

Let's assume the share of A for 10 months is 3x and the share of B for 10 months is 4x.

The total share of A, B, and C for 10 months will be 3x + 4x + 740.

According to the given information, the total share of C is Rs. 1850. So, we can write the equation as 3x + 4x + 740 = 1850.

Simplifying the equation, we get 7x + 740 = 1850.

Subtracting 740 from both sides, we get 7x = 1110.

Dividing both sides by 7, we get x = 1110/7 = 158.57.

Now, let's calculate the total profit by multiplying the share of A and B for 10 months by their respective ratios.

The share of A for 10 months = 3x = 3 * 158.57 = Rs. 475.71.

The share of B for 10 months = 4x = 4 * 158.57 = Rs. 634.28.

The total profit = share of A + share of B + share of C = 475.71 + 634.28 + 1850 = Rs. 2959.99.

Rounding off to the nearest rupee, the total profit is approximately Rs. 2960.

Therefore, the correct answer is not listed in the given options.