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      Question

      Aman and Karan started a business together by investing

      a total of Rs. 22000 in the ratio of 6:5, respectively. After 4 months, Aman decreased his investment by Rs. 2000 and after 3 more months, Karan increased his investment by Rs. 3000. Find the total annual profit earned, if the difference between their annual profits is Rs. 1400.
      A Rs. 52600 Correct Answer Incorrect Answer
      B Rs. 55600 Correct Answer Incorrect Answer
      C Rs. 57600 Correct Answer Incorrect Answer
      D Rs. 60600 Correct Answer Incorrect Answer
      E Rs. 62600 Correct Answer Incorrect Answer

      Solution

      Let the total profit earned at the end of the year be Rs. 'p' Initial investment done by Aman = 22000 X (6/11) = Rs. 12000 Initial investment done by Karan = 22000 - 12000 = Rs. 10000 Profits sharing ratio of Aman and Karan = (12000 X 4 + 10000 X 8):(10000 X 7 + 13000 X 5) = (48 + 80):(70 + 65) = 128:135 According to question: (135p/263) - (128p/263) = 1400 Or, (7p/263) = 1400 Total profit earned (p) = (1400 X 263)/7 = Rs. 52600

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