Question 64

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 ofprofit which is ₹1,47,000 more than that of A, then B’s share of profit is:

Solution

The ratio of invested capital of A, B and C = 2 : 3 : 5
Let the invested capital of A, B and C be 2x, 3x and 5x respectively.
The ratio of month which A, B and C invested = 4 : 2 : 3
Let the month which A, B and C invested be 4y, 2y and 3y respectively.
Profit of A, B and C = $$ 2x \times 4y : 3x \times 2y :5x \times 3y$$ = 8 : 6 : 15
Share of C = ₹1,47,000 more than that of A = 147000 + share of A
Share of C - share of A = 147000
15 - 8 units = 147000
7 units = 147000
Share of B = 6 units
6 units = $$\frac{147000}{7} \times 6$$ = 126000
Share of B = Rs.126000


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