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₹1,05,000₹1,89,000₹1,26,000₹1,68,000
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₹1,05,000₹1,89,000₹1,26,000₹1,68,000
Solution
To solve this problem, we need to understand that the share of profit for each person is proportional to the product of the capital they invested and the time for which they invested.
Step 1: Calculate the ratio of capital and time for each person.
For A, the ratio is 2 (capital) * 4 (time) = 8 For B, the ratio is 3 (capital) * 2 (time) = 6 For C, the ratio is 5 (capital) * 3 (time) = 15
Step 2: Calculate the difference in the share of profit between C and A.
The difference in the ratio is 15 (C's ratio) - 8 (A's ratio) = 7
Step 3: Since the difference in the share of profit between C and A is given as ₹1,47,000, we can find the value of 1 part of the ratio.
1 part of the ratio = ₹1,47,000 / 7 = ₹21,000
Step 4: Now, we can find B's share of profit by multiplying B's ratio (6) by the value of 1 part of the ratio.
B's share of profit = 6 * ₹21,000 = ₹1,26,000
So, the correct answer is ₹1,26,000.
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