Rahul and Bharti are partners in a business. Rahul contributes 1/4thcapital for 15 months and Bharti received 2/3of profit. For how long Bharti money was used.a)8 monthsb)10 monthsc)11 monthsd)17 monthsCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Problem:
Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.

Solution:
To solve this problem, we need to calculate the ratio of the capital contributed by Rahul and Bharti, and then use this ratio to find the duration for which Bharti's money was used.

Step 1: Calculate the ratio of capital contributed by Rahul and Bharti
- Let's assume that Rahul contributed R amount of capital.
- According to the problem, Bharti contributed 1/4th of the total capital and the remaining 3/4th capital was contributed by Rahul.
- Therefore, Bharti's capital = (1/4) * Total capital = (1/4) * (3/4) * R = 3/16 * R

Step 2: Calculate the duration for which Bharti's money was used
- Let's assume that Bharti's money was used for 'x' months.
- According to the problem, Bharti received 2/3 of the profit.
- Therefore, Bharti's share of the profit = (2/3) * Total profit
- Since profit is directly proportional to the duration for which the money is used, we can write:
Bharti's share of the profit / Rahul's share of the profit = Duration for which Bharti's money was used / Duration for which Rahul's money was used
(2/3) / (1/3) = x / 15
2/1 = x / 15
x = 30/1 = 30 months

Therefore, Bharti's money was used for 30 months. However, the options provided in the question do not include 30 months. So, we need to find the closest option to 30 months.

Step 3: Find the closest option to 30 months
- The options provided are:
a) 8 months
b) 10 months
c) 11 months
d) 17 months

- The closest option to 30 months is 10 months, which is option b.

Therefore, the correct answer is option b) 10 months.

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