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      Question

      The ratio of investment of A and B is 6:7 respectively.

      If the rate of interest for both A and B is 12% p.a and time duration for A and B is 5 years and 4 years respectively. The difference of their amount received is Rs.3800 then what was the investment of A?
      A Rs.25,620 Correct Answer Incorrect Answer
      B Rs.30,000 Correct Answer Incorrect Answer
      C Rs.45,000 Correct Answer Incorrect Answer
      D Rs.22,420 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let A's investment = 6x, B's = 7x Rate = 12%, Time: A = 5 yrs, B = 4 yrs Use simple interest formula: A's Amount = 6x + (6xΓ—12Γ—5)/100 = 9.6x B's Amount = 7x + (7xΓ—12Γ—4)/100 = 10.36x Difference = 10.36x - 9.6x = 0.76x = 3800 β†’ x = 3800 / 0.76 = 5000 A’s investment = 6x = 6 Γ— 5000 = 30,000

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