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A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by
  • a)
    Rs. 2400
  • b)
    Rs. 3600
  • c)
    Rs. 3000
  • d)
    Rs. 4800
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 r...
A:B: C = 16000 x3 + 11000×9:12000 x 3 + 17000 x 9:21000 x 6 = 147:189:126 = 7:9:6
Difference of B and C’s shares = Rs. [26400 x (9/22) — 26400 x (6/22)) = Rs. 3600.
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Most Upvoted Answer
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 r...
Given:
- A invested Rs. 16000
- B invested Rs. 12000
- After 3 months, A withdrew Rs. 5000
- After A's withdrawal, B invested Rs. 5000 more
- After 3 more months, C joins with a capital of Rs. 21000
- Total profit after one year is Rs. 26400

To find:
- B's share of profit exceeds C's share of profit by how much

Solution:
Let's first calculate the ratios in which A, B, and C invested in the business:
- A's investment = Rs. 16000 for 3 months and Rs. 11000 for the remaining 9 months (after withdrawal)
- B's investment = Rs. 12000 for 3 months and Rs. 17000 for the remaining 9 months (after adding Rs. 5000)
- C's investment = Rs. 21000 for 9 months

So, the ratios of their investments for the entire year are:
- A:B:C = (16000*3 + 11000*9) : (12000*3 + 17000*9) : (21000*9)
- A:B:C = 123000 : 189000 : 189000
- A:B:C = 41 : 63 : 63

Now, let's calculate their shares of profit:
- A's share = (41/167)*26400 = Rs. 6480
- B's share = (63/167)*26400 = Rs. 10080
- C's share = (63/167)*26400 = Rs. 10080

Therefore, B's share exceeds C's share by Rs. (10080 - 10080) = Rs. 3600.

Hence, the correct answer is option B.
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Community Answer
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 r...
A:B: C = 16000 x3 + 11000×9:12000 x 3 + 17000 x 9:21000 x 6 = 147:189:126 = 7:9:6
Difference of B and C’s shares = Rs. [26400 x (9/22) — 26400 x (6/22)) = Rs. 3600.
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A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year bya)Rs. 2400b)Rs. 3600c)Rs. 3000d)Rs. 4800Correct answer is option 'B'. Can you explain this answer?
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A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year bya)Rs. 2400b)Rs. 3600c)Rs. 3000d)Rs. 4800Correct answer is option 'B'. 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 entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year bya)Rs. 2400b)Rs. 3600c)Rs. 3000d)Rs. 4800Correct answer is option 'B'. 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 entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year bya)Rs. 2400b)Rs. 3600c)Rs. 3000d)Rs. 4800Correct answer is option 'B'. Can you explain this answer?.
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