A 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. 1955Rs. 6510Rs. 6845Rs. 9030
Question
A 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. 1955Rs. 6510Rs. 6845Rs. 9030
Solution
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 at the end of 10 months. Since C joined after 6 months (4 months after A and 2 months after B), 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 A for 10 months = (18000/total investment) * P The share of B for 10 months = (24000/total investment) * P The share of C for 4 months = (30000/total investment) * P
Since C received Rs. 1850 as his share, we can set up the equation:
(30000/total investment) * P = 1850
Now, let's calculate the total investment:
Total investment = 18000 + 24000 + 30000
Substituting the value of total investment in the equation:
(30000/(18000 + 24000 + 30000)) * P = 1850
Simplifying the equation:
(30000/72000) * P = 1850
30000P = 1850 * 72000
P = (1850 * 72000) / 30000
P = 4440
Therefore, the total profit is Rs. 4440.
None of the given options match the calculated total profit.
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