A & 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?Options28,00030,00032,00034,000
Question
A & 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?Options28,00030,00032,00034,000
Solution
The problem is about the distribution of profit in a partnership based on the ratio of their investments and the time period of their investments.
Step 1: Understand the problem A's investment is thrice that of B's and the period of his investment is two times that of B's. B's share of the profit is Rs 4,000.
Step 2: Calculate the ratio of their investments Since A's investment is thrice that of B's, the ratio of their investments is 3:1.
Step 3: Calculate the ratio of their investment periods Since A's investment period is two times that of B's, the ratio of their investment periods is 2:1.
Step 4: Calculate the combined ratio The combined ratio of their investments and investment periods is (32) : (11) = 6:1.
Step 5: Calculate the total profit Since B's share is Rs 4,000 and this represents 1 part of the total 7 parts, the total profit is Rs 4,000 * 7 = Rs 28,000.
So, the total profit is Rs 28,000.
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