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. 6510Rs. 9030Rs. 1955Rs. 6845
Question
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. 6510Rs. 9030Rs. 1955Rs. 6845
Solution
The total profit can be calculated by using the ratio of their investments.
First, we need to calculate the ratio of their investments.
A's investment was for 10 months, B's for 6 months and C's for 4 months.
So, the ratio of their investments is:
A : B : C = 1800010 : 240006 : 30000*4 = 180000 : 144000 : 120000 = 15 : 12 : 10
Now, we know that C's share was Rs. 1850. This means that 10 parts (C's share of the investment) is equal to Rs. 1850.
So, 1 part is equal to Rs. 1850 / 10 = Rs. 185.
Therefore, the total profit (which is the sum of all parts) is:
(15 parts for A + 12 parts for B + 10 parts for C) * Rs. 185 = 37 parts * Rs. 185 = Rs. 6845
So, the total profit is Rs. 6845. The correct answer is Rs. 6845.
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