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Jatin and lalit start a business and each invests Rs4000 each. after 6 months jatin withdraws half his capital and lalit invests the amount withdrawn by jatin. if at the end of the year jatin gets Rs 7389 as his share of profits, find lalit's share. a) Rs12315 b) Rs11625 c)Rs12300 d)Rs13621?
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Jatin and lalit start a business and each invests Rs4000 each. after 6...
Solution

Investment details


  • Jatin and Lalit invest Rs4000 each

  • Total investment = Rs8000



Time period of investment


  • Jatin and Lalit invest for 6 months

  • Jatin withdraws half of his capital after 6 months

  • Lalit invests the amount withdrawn by Jatin for the remaining 6 months



Profit Share


  • Jatin's share of profit = Rs7389

  • To find Lalit's share of profit, we need to find the total profit earned



Calculation of total profit


  • Let the total profit earned be 'P'

  • Jatin invested Rs4000 for 12 months, so his share of profit for the entire year = (4000/8000) x P = 0.5P

  • Jatin withdrew half his capital after 6 months, so his share of profit for the first 6 months = (4000/8000) x P = 0.5P

  • Jatin's share of profit for the remaining 6 months = (2000/8000) x P = 0.25P

  • Lalit invested Rs4000 for 6 months and Rs6000 for the remaining 6 months, so his share of profit = (4000/8000) x 0.5P + (6000/8000) x 0.25P = 0.375P

  • Jatin's share of profit + Lalit's share of profit = Total profit earned

  • 0.5P + 0.25P + 0.375P = P

  • P = Rs14778



Calculation of Lalit's share of profit


  • Lalit's share of profit = (6000/8000) x 14778 - 7389

  • Lalit's share of profit = Rs11625



Answer

Lalit's share of profit = Rs11625
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Jatin and lalit start a business and each invests Rs4000 each. after 6 months jatin withdraws half his capital and lalit invests the amount withdrawn by jatin. if at the end of the year jatin gets Rs 7389 as his share of profits, find lalit's share. a) Rs12315 b) Rs11625 c)Rs12300 d)Rs13621?
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Jatin and lalit start a business and each invests Rs4000 each. after 6 months jatin withdraws half his capital and lalit invests the amount withdrawn by jatin. if at the end of the year jatin gets Rs 7389 as his share of profits, find lalit's share. a) Rs12315 b) Rs11625 c)Rs12300 d)Rs13621? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Jatin and lalit start a business and each invests Rs4000 each. after 6 months jatin withdraws half his capital and lalit invests the amount withdrawn by jatin. if at the end of the year jatin gets Rs 7389 as his share of profits, find lalit's share. a) Rs12315 b) Rs11625 c)Rs12300 d)Rs13621? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Jatin and lalit start a business and each invests Rs4000 each. after 6 months jatin withdraws half his capital and lalit invests the amount withdrawn by jatin. if at the end of the year jatin gets Rs 7389 as his share of profits, find lalit's share. a) Rs12315 b) Rs11625 c)Rs12300 d)Rs13621?.
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