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      Question

      A sum of ₹22,100 was divided between Timir and Monali

      in such a way that if both invested their shares at 10% compound interest per annum, the amount payable on maturity to Monali after 18 years would be the same as the amount payable on maturity to Timir after 20 years. What was the share of Monali in the initial sum?
      A ₹12,050 Correct Answer Incorrect Answer
      B ₹12,180 Correct Answer Incorrect Answer
      C ₹12,150 Correct Answer Incorrect Answer
      D ₹12,100 Correct Answer Incorrect Answer

      Solution

      Let the share of Monali and Timir be x and (22100 - x) respectively. Amount payable in the case of Monali. = x (1 + 10/100)18 Amount payable in case of Timir. (22100-x) (1 + 10/100)20 According to the question, (22100 - x) (1 +10/100)20= x (1 + 10/100)18 (22100-x) (1 + 10 /100) 20-18 = x (22100-x) (1 + 10/100)2 = x (22100-x) x 1.21 = x 26741-1.21x = x 2.21x=26741 x=26741/2.21 x = 12100 The initial share of Monali was Rs. 12,100.

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