Select the correct answerA & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4,000 as profit, what is their total profit?Options32,00034,00028,00030,000
Question
Select the correct answerA & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4,000 as profit, what is their total profit?Options32,00034,00028,00030,000
Solution
To solve this problem, we need to understand the concept of partnership. In a partnership, profits are divided according to the ratio of capital invested and the time period for which the capital was invested.
Let's denote:
- B's investment as x
- A's investment as 3x (since A's investment was thrice the investment of B)
- B's investment time as y
- A's investment time as 2y (since the period of A's investment was two times the period of B's investment)
The profit ratio of A to B would be (A's investment * A's time) : (B's investment * B's time), which is (3x * 2y) : (x * y), simplifying to 6:1.
This means for every 6 parts of profit that A receives, B receives 1 part. Given that B received Rs 4,000, which is 1 part of the total profit, the total profit would be 7 parts (6 parts for A and 1 part for B).
So, the total profit = 1 part * 7 = Rs 4,000 * 7 = Rs 28,000.
Therefore, the total profit is Rs 28,000.
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