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      Question

      Rohit and Mohit started a business together by

      investing a total of Rs. 18000 in the ratio of 5:4, respectively. After 3 months, Rohit increased his investment by Rs. 2000 and after 5 more months, Mohit decreased his investment by Rs. 1000. Find the total annual profit earned, if the difference between their annual profits is Rs. 2400.
      A Rs. 7200 Correct Answer Incorrect Answer
      B Rs. 9600 Correct Answer Incorrect Answer
      C Rs. 12000 Correct Answer Incorrect Answer
      D Rs.14400 Correct Answer Incorrect Answer
      E Rs. 16800 Correct Answer Incorrect Answer

      Solution

      Let the total profit earned at the end of the year be Rs. 'p' Initial investment done by Rohit = 18000 X (5/9) = Rs. 10000 Initial investment done by Mohit = 18000 - 10000 = Rs. 8000 Profits sharing ratio of Rohit and Mohit = (10000 X 3 + 12000 X 9):(8000 X 8 + 7000 X 4) = (30 + 108):(64 + 28) = 138:92 = 3:2 According to question: (3p/5) - (2p/5) = 2400 Or, (p/5) = 2400 Total profit earned (p) = (2400 X 5) = Rs. 12000

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