Four friends (A, B, C and D) started a business in partnership by investing capitals in the proportion 3 : 5 : 4 : 6.During the period of one-year, these capitals were utilized in the proportion of 6 : 4 : 5 : 3 respectively.If, at the end of the year, a profit of Rs.15,550 was made, what will be the share of D?Rs.3250.5Rs.3750Rs.4062.59Rs.3682.89
Question
Four friends (A, B, C and D) started a business in partnership by investing capitals in the proportion 3 : 5 : 4 : 6.During the period of one-year, these capitals were utilized in the proportion of 6 : 4 : 5 : 3 respectively.If, at the end of the year, a profit of Rs.15,550 was made, what will be the share of D?Rs.3250.5Rs.3750Rs.4062.59Rs.3682.89
Solution
To solve this problem, we first need to understand that the share of each partner in the profit is proportional to the product of the capital invested and the time for which it was invested.
Step 1: Calculate the product of the capital invested and the time for which it was invested for each partner.
For A, it is 36 = 18 For B, it is 54 = 20 For C, it is 45 = 20 For D, it is 63 = 18
Step 2: Calculate the total of these products.
Total = 18 + 20 + 20 + 18 = 76
Step 3: Calculate the share of each partner.
The share of each partner is given by (product for each partner / total) * total profit.
So, the share of D = (18/76) * 15550 = Rs.3682.89
So, the share of D is Rs.3682.89.
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