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P started the business with an investment of Rs.12000. After x months, Q joined the business and invested Rs.3000 more than the investment of P. If at the end of the year, the total profit is Rs.11000 in which profit share of P is 6000, then find the value of x?
  • a)
    4
  • b)
    6
  • c)
    5
  • d)
    8
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
P started the business with an investment of Rs.12000. After x months...
The profit ratio of P to Q = 6000:(11000 – 6000) = 6:5
(12000 * 12)/(15000 * (12 – x)) = 6/5
144/(180 – 15x) = 6/5
720 = 1080 – 90x
x = 360/90 = 4
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Community Answer
P started the business with an investment of Rs.12000. After x months...
To solve this problem, let's break it down step by step:

1. Let's assume that P started the business with an investment of Rs. 12,000.

2. After x months, Q joined the business and invested Rs. 3,000 more than P.

3. Therefore, the investment of Q can be represented as Rs. 12,000 + Rs. 3,000 = Rs. 15,000.

4. Now, let's calculate the profit share of P. We are given that the total profit is Rs. 11,000 and the profit share of P is Rs. 6,000.

5. Let P's investment run for the entire year, which is 12 months.

6. Since the profit share is directly proportional to the time period, we can set up the following proportion:

P's investment / Q's investment = P's profit share / Q's profit share

Rs. 12,000 / Rs. 15,000 = Rs. 6,000 / Q's profit share

7. Solving for Q's profit share:

Rs. 12,000 / Rs. 15,000 = Rs. 6,000 / Q's profit share

Q's profit share = (Rs. 15,000 * Rs. 6,000) / Rs. 12,000

Q's profit share = Rs. 7,500

8. Now, let's calculate the profit share of Q for x months. Since P's investment is running for the entire year, Q's investment is running for the remaining months, which is (12 - x) months.

Q's profit share for x months = (Rs. 7,500 * x) / 12

9. Since the total profit share is Rs. 11,000, we can set up the following equation:

P's profit share + Q's profit share for x months = Rs. 11,000

Rs. 6,000 + (Rs. 7,500 * x) / 12 = Rs. 11,000

10. Solving for x:

(Rs. 7,500 * x) / 12 = Rs. 11,000 - Rs. 6,000

(Rs. 7,500 * x) / 12 = Rs. 5,000

Rs. 7,500 * x = Rs. 5,000 * 12

Rs. 7,500 * x = Rs. 60,000

x = Rs. 60,000 / Rs. 7,500

x = 8

Therefore, the value of x is 8. Hence, the correct answer is option A.
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P started the business with an investment of Rs.12000. After x months, Q joined the business and invested Rs.3000 more than the investment of P. If at the end of the year, the total profit is Rs.11000 in which profit share of P is 6000, then find the value of x?a)4b)6c)5d)8e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about P started the business with an investment of Rs.12000. After x months, Q joined the business and invested Rs.3000 more than the investment of P. If at the end of the year, the total profit is Rs.11000 in which profit share of P is 6000, then find the value of x?a)4b)6c)5d)8e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P started the business with an investment of Rs.12000. After x months, Q joined the business and invested Rs.3000 more than the investment of P. If at the end of the year, the total profit is Rs.11000 in which profit share of P is 6000, then find the value of x?a)4b)6c)5d)8e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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