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A and B started a business with the investments in the ratio of 5 : 3 respectively. After 6 months from the start of the business, C joined them and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was Rs. 12,300, what was the difference between B’s share and C’s share in the profit?
- a)Rs. 900
- b)Rs. 800
- c)Rs. 600
- d)Rs. 400
- e)Rs. 700
Correct answer is option 'A'. Can you explain this answer?
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A and B started a business with the investments in the ratio of 5 : 3 ...
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A and B started a business with the investments in the ratio of 5 : 3 ...
And C's share in the profit?
Let the initial investments of A and B be 5x and 3x respectively.
After 6 months, the total profit would be (5x + 3x) * 6 = 8x * 6 = 48x.
At this point, the investment of B would be 3x + 48x/2 = 3x + 24x = 27x.
The ratio of B's investment to C's investment is 2 : 3, so C's investment would be 27x * 3/2 = 40.5x.
The total investment at this point would be 5x + 27x + 40.5x = 72.5x.
The annual profit would be 72.5x * 12 = 870x.
The difference between B and C's share in the profit would be 870x - 48x = 822x.
Given that the annual profit was Rs. 12,300, we can equate the expression to 12,300:
822x = 12,300
x = 12,300/822
x ≈ 15
So, the difference between B and C's share in the profit is 822x ≈ 822 * 15 = 12,330. Answer: \boxed{12,330}.
Let the initial investments of A and B be 5x and 3x respectively.
After 6 months, the total profit would be (5x + 3x) * 6 = 8x * 6 = 48x.
At this point, the investment of B would be 3x + 48x/2 = 3x + 24x = 27x.
The ratio of B's investment to C's investment is 2 : 3, so C's investment would be 27x * 3/2 = 40.5x.
The total investment at this point would be 5x + 27x + 40.5x = 72.5x.
The annual profit would be 72.5x * 12 = 870x.
The difference between B and C's share in the profit would be 870x - 48x = 822x.
Given that the annual profit was Rs. 12,300, we can equate the expression to 12,300:
822x = 12,300
x = 12,300/822
x ≈ 15
So, the difference between B and C's share in the profit is 822x ≈ 822 * 15 = 12,330. Answer: \boxed{12,330}.
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A and B started a business with the investments in the ratio of 5 : 3 respectively. After 6 months from the start of the business, C joined them and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was Rs. 12,300, what was the difference between B’s share and C’s share in the profit?a)Rs. 900b)Rs. 800c)Rs. 600d)Rs. 400e)Rs. 700Correct answer is option 'A'. Can you explain this answer?
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A and B started a business with the investments in the ratio of 5 : 3 respectively. After 6 months from the start of the business, C joined them and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was Rs. 12,300, what was the difference between B’s share and C’s share in the profit?a)Rs. 900b)Rs. 800c)Rs. 600d)Rs. 400e)Rs. 700Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A and B started a business with the investments in the ratio of 5 : 3 respectively. After 6 months from the start of the business, C joined them and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was Rs. 12,300, what was the difference between B’s share and C’s share in the profit?a)Rs. 900b)Rs. 800c)Rs. 600d)Rs. 400e)Rs. 700Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B started a business with the investments in the ratio of 5 : 3 respectively. After 6 months from the start of the business, C joined them and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was Rs. 12,300, what was the difference between B’s share and C’s share in the profit?a)Rs. 900b)Rs. 800c)Rs. 600d)Rs. 400e)Rs. 700Correct answer is option 'A'. Can you explain this answer?.
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