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  • Question
  • Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ?


  • Options
  • A. Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
  • B. Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
  • C. Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840
  • D. Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940

  • Correct Answer
  • Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 

    Explanation

    Initial investment of Ram = Rs.2500.
    After 2 months he withdraw Rs.1250 from his capital.
    Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.

    Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.

    And, Rakesh invested Rs.3500 for 3 months;

    Their investing ratio:
    Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)
    = (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42

    Total profit for 6 months = Rs.2540
    Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800
    Raj's share = Rs.(2540 x 45/127) = Rs.900
    Rakesh's share = Rs.(2540 x 42/127) = Rs.840

  • Tags: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO

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