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A and B entered into a partnership, investing Rs. 10000 and Rs. 15000 respectively. After 4 months, ‘A’ invested Rs. 5000 more, while B withdraws Rs. 5000 . After 4 months more, C joins the business with a capital of Rs. 16,000. After a year, they obtained a profit of Rs. 11830. What is C’s share in the profit?
  • a)
    Rs.6500
  • b)
    Rs.4550
  • c)
    Rs.5400
  • d)
    Rs.3650
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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A and B entered into a partnership, investing Rs. 10000 and Rs. 15000 ...
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A and B entered into a partnership, investing Rs. 10000 and Rs. 15000 ...
A withdrew 3/5 of his capital and B withdrew 1/2 of his capital. After 9 months, C joined them with a capital of Rs. 20000. What will be C's share in the annual profit of Rs. 10700?

First, let's calculate the capital of A and B after their withdrawals:
A's capital = Rs. 10000 - 3/5 * Rs. 10000 = Rs. 4000
B's capital = Rs. 15000 - 1/2 * Rs. 15000 = Rs. 7500

Now, let's calculate the total capital at the end of 9 months when C joined:
Total capital = A's capital for 4 months + B's capital for 4 months + A's capital for 5 months + B's capital for 5 months + C's capital for 9 months
Total capital = 4/12 * Rs. 4000 + 4/12 * Rs. 7500 + 5/12 * Rs. 4000 + 5/12 * Rs. 7500 + Rs. 20000
Total capital = Rs. 7000 + Rs. 12500 + Rs. 16666.67
Total capital = Rs. 36166.67

Now, let's calculate the ratio of their investments:
A's investment for 4 months = Rs. 10000 * 4/12 = Rs. 3333.33
B's investment for 4 months = Rs. 15000 * 4/12 = Rs. 5000
A's investment for 5 months = Rs. 4000 * 5/12 = Rs. 1666.67
B's investment for 5 months = Rs. 7500 * 5/12 = Rs. 3125
C's investment for 9 months = Rs. 20000 * 9/12 = Rs. 15000

Ratio of investments = Rs. 3333.33 : Rs. 5000 : Rs. 1666.67 : Rs. 3125 : Rs. 15000
Ratio of investments = 10 : 15 : 5 : 25 : 120

Now, let's calculate C's share in the profit:
C's share = Rs. 10700 * 120/175
C's share = Rs. 7308.57

Therefore, C's share in the annual profit of Rs. 10700 is Rs. 7308.57.
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A and B entered into a partnership, investing Rs. 10000 and Rs. 15000 respectively. After 4 months, ‘A’ invested Rs. 5000 more, while B withdraws Rs. 5000 . After 4 months more, C joins the business with a capital of Rs. 16,000. After a year, they obtained a profit of Rs. 11830. What is C’s share in the profit?a)Rs.6500b)Rs.4550c)Rs.5400d)Rs.3650e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A and B entered into a partnership, investing Rs. 10000 and Rs. 15000 respectively. After 4 months, ‘A’ invested Rs. 5000 more, while B withdraws Rs. 5000 . After 4 months more, C joins the business with a capital of Rs. 16,000. After a year, they obtained a profit of Rs. 11830. What is C’s share in the profit?a)Rs.6500b)Rs.4550c)Rs.5400d)Rs.3650e)None of theseCorrect 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. 10000 and Rs. 15000 respectively. After 4 months, ‘A’ invested Rs. 5000 more, while B withdraws Rs. 5000 . After 4 months more, C joins the business with a capital of Rs. 16,000. After a year, they obtained a profit of Rs. 11830. What is C’s share in the profit?a)Rs.6500b)Rs.4550c)Rs.5400d)Rs.3650e)None of theseCorrect 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. 10000 and Rs. 15000 respectively. After 4 months, ‘A’ invested Rs. 5000 more, while B withdraws Rs. 5000 . After 4 months more, C joins the business with a capital of Rs. 16,000. After a year, they obtained a profit of Rs. 11830. What is C’s share in the profit?a)Rs.6500b)Rs.4550c)Rs.5400d)Rs.3650e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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