A, 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₹1,26,000₹1,68,000₹1,05,000₹1,89,000
Question
A, 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₹1,26,000₹1,68,000₹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 period for which the capital was invested.
Let's denote the capitals of A, B and C as 2x, 3x and 5x respectively. Similarly, let's denote the time periods for which they invested as 4y, 2y and 3y respectively.
The ratio of their profits would then be (2x4y) : (3x2y) : (5x*3y), which simplifies to 8 : 6 : 15.
Given that C gets a share of profit which is ₹1,47,000 more than that of A, we can write the equation 15k - 8k = ₹1,47,000, where k is the common multiplier. Solving this equation gives us k = ₹21,000.
Therefore, B’s share of profit is 6k = 6 * ₹21,000 = ₹1,26,000.
So, the correct option is ₹1,26,000.
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