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Three friends A, B and C started a venture with capitals in the ratio of 4:1:15. At the end of every quarter A halves his capital, while B doubles his capital and C leaves his capital untouched. This process is repeated till the end of the year. If at the end of the year B ’ s share of the profit is Rs 22,000, what is the total profit?
- a)Rs 88,000
- b)Rs 1,10,000
- c)Rs 2,25,000
- d)Rs 1,21,000
Correct answer is option 'D'. Can you explain this answer?
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Three friends A, B and C started a venture with capitals in the ratio ...
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Three friends A, B and C started a venture with capitals in the ratio ...
Given, ratio of capitals of A, B and C = 4:1:15
Let the initial capitals of A, B and C be 4x, x and 15x respectively.
At the end of the first quarter, their capitals become:
A's capital = 4x/2 = 2x
B's capital = x × 2 = 2x
C's capital = 15x
Their new capital ratio is 2:2:15
Let the new capitals of A, B and C be 2y, 2y and 15y respectively.
At the end of the second quarter, their capitals become:
A's capital = 2y/2 = y
B's capital = 2y × 2 = 4y
C's capital = 15y
Their new capital ratio is 1:4:15
Let the new capitals of A, B and C be z, 4z and 15z respectively.
At the end of the third quarter, their capitals become:
A's capital = z/2
B's capital = 4z × 2 = 8z
C's capital = 15z
Their new capital ratio is 1:8:15
Let the new capitals of A, B and C be m, 8m and 15m respectively.
At the end of the year, the total profit is divided among A, B and C in the ratio of their capitals.
B's share of profit = (8m/24) × Total profit = Rs 22,000
Total profit = (22,000 × 24)/8 = Rs 66,000
Therefore, the total profit is Rs 1,21,000 (option D).
Let the initial capitals of A, B and C be 4x, x and 15x respectively.
At the end of the first quarter, their capitals become:
A's capital = 4x/2 = 2x
B's capital = x × 2 = 2x
C's capital = 15x
Their new capital ratio is 2:2:15
Let the new capitals of A, B and C be 2y, 2y and 15y respectively.
At the end of the second quarter, their capitals become:
A's capital = 2y/2 = y
B's capital = 2y × 2 = 4y
C's capital = 15y
Their new capital ratio is 1:4:15
Let the new capitals of A, B and C be z, 4z and 15z respectively.
At the end of the third quarter, their capitals become:
A's capital = z/2
B's capital = 4z × 2 = 8z
C's capital = 15z
Their new capital ratio is 1:8:15
Let the new capitals of A, B and C be m, 8m and 15m respectively.
At the end of the year, the total profit is divided among A, B and C in the ratio of their capitals.
B's share of profit = (8m/24) × Total profit = Rs 22,000
Total profit = (22,000 × 24)/8 = Rs 66,000
Therefore, the total profit is Rs 1,21,000 (option D).
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Three friends A, B and C started a venture with capitals in the ratio of 4:1:15. At the end of every quarter A halves his capital, while B doubles his capital and C leaves his capital untouched. This process is repeated till the end of the year. If at the end of the year B ’ s share of the profit is Rs 22,000, what is the total profit?a)Rs 88,000b)Rs 1,10,000c)Rs 2,25,000d)Rs 1,21,000Correct answer is option 'D'. Can you explain this answer?
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Three friends A, B and C started a venture with capitals in the ratio of 4:1:15. At the end of every quarter A halves his capital, while B doubles his capital and C leaves his capital untouched. This process is repeated till the end of the year. If at the end of the year B ’ s share of the profit is Rs 22,000, what is the total profit?a)Rs 88,000b)Rs 1,10,000c)Rs 2,25,000d)Rs 1,21,000Correct answer is option 'D'. 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 Three friends A, B and C started a venture with capitals in the ratio of 4:1:15. At the end of every quarter A halves his capital, while B doubles his capital and C leaves his capital untouched. This process is repeated till the end of the year. If at the end of the year B ’ s share of the profit is Rs 22,000, what is the total profit?a)Rs 88,000b)Rs 1,10,000c)Rs 2,25,000d)Rs 1,21,000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three friends A, B and C started a venture with capitals in the ratio of 4:1:15. At the end of every quarter A halves his capital, while B doubles his capital and C leaves his capital untouched. This process is repeated till the end of the year. If at the end of the year B ’ s share of the profit is Rs 22,000, what is the total profit?a)Rs 88,000b)Rs 1,10,000c)Rs 2,25,000d)Rs 1,21,000Correct answer is option 'D'. Can you explain this answer?.
Three friends A, B and C started a venture with capitals in the ratio of 4:1:15. At the end of every quarter A halves his capital, while B doubles his capital and C leaves his capital untouched. This process is repeated till the end of the year. If at the end of the year B ’ s share of the profit is Rs 22,000, what is the total profit?a)Rs 88,000b)Rs 1,10,000c)Rs 2,25,000d)Rs 1,21,000Correct answer is option 'D'. 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 Three friends A, B and C started a venture with capitals in the ratio of 4:1:15. At the end of every quarter A halves his capital, while B doubles his capital and C leaves his capital untouched. This process is repeated till the end of the year. If at the end of the year B ’ s share of the profit is Rs 22,000, what is the total profit?a)Rs 88,000b)Rs 1,10,000c)Rs 2,25,000d)Rs 1,21,000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three friends A, B and C started a venture with capitals in the ratio of 4:1:15. At the end of every quarter A halves his capital, while B doubles his capital and C leaves his capital untouched. This process is repeated till the end of the year. If at the end of the year B ’ s share of the profit is Rs 22,000, what is the total profit?a)Rs 88,000b)Rs 1,10,000c)Rs 2,25,000d)Rs 1,21,000Correct answer is option 'D'. Can you explain this answer?.
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