Select the correct answerA, B and C invested their capitals in the ratio of 2 : 3 : 5. The ratio of months for which A, B and C invested is 4 : 2 : 3. If C gets a share of profit which is ₹1,47,000 more than that of A, then B’s share of profit is:Options₹1,68,000₹1,26,000₹1,05,000₹1,89,000
Question
Select the correct answerA, B and C invested their capitals in the ratio of 2 : 3 : 5. The ratio of months for which A, B and C invested is 4 : 2 : 3. If C gets a share of profit which is ₹1,47,000 more than that of A, then B’s share of profit is:Options₹1,68,000₹1,26,000₹1,05,000₹1,89,000
Solution
The profit share of a business is divided according to the ratio of the product of the capital invested and the time for which it was invested.
Let's denote the capitals of A, B, and C as 2x, 3x, and 5x respectively. Similarly, let's denote the time for which they invested as 4y, 2y, and 3y respectively.
The ratio of their profits would then be:
A : B : C = 2x4y : 3x2y : 5x*3y = 8 : 6 : 15
Given that C gets a share of profit which is ₹1,47,000 more than that of A, we can write:
15 parts - 8 parts = ₹1,47,000 7 parts = ₹1,47,000 1 part = ₹1,47,000 / 7 = ₹21,000
Therefore, B’s share of profit is 6 parts * ₹21,000 = ₹1,26,000.
So, the correct answer is ₹1,26,000.
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