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      Question

      A sum of ₹33,100 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(Aprox) of Monali in the initial sum?
      A 18122 Correct Answer Incorrect Answer
      B 16622 Correct Answer Incorrect Answer
      C 17282 Correct Answer Incorrect Answer
      D 16944 Correct Answer Incorrect Answer

      Solution

      Let the share of Monali and Timir be x and (33100 - x) respectively. The amount payable in the case of Monali. = x (1 + 10/100)18 The amount payable in the case of Timir. (33100-x) (1 + 10/100)20 According to the question, (33100 - x) (1 +10/100)20= x (1 + 10/100)18 (33100-x) (1 + 10 /100) 20-18 = x (33100-x) (1 + 10/100)2 = x (33100-x) x 1.21 = x 40051-1.21x = x 2.21x=40051 x=40051/2.21 x = 18122.62 The initial share of Monali was Rs. 18122 Rs.

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