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Ram and Shyam together lent Rs. 3364 at 5% compound interest, compounded annuslly. The amount Ram gets at the end of three years is the same as Shyam gets at the end of five years. The share of Ram in principal amount is тАЛ |
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Answer» Given : RAM and Shyam TOGETHER lent RS. 3364 at 5% compound interest, compounded annuslly. The amount Ram gets at the end of three years is the same as Shyam gets at the end of FIVE years. To Find : The share of Ram in principal amount Ram Amount = P Rs Shyam Amount = 3364 - P Rs A = P ( 1+ R/100)ⁿ R = 5 % The amount Ram gets at the end of three years = P ( 1 + 5/100)³ = P ( 1.05)³ The amount Shyam gets at the end of 5 years = (3364 - P) ( 1 + 5/100)⁵ = (3364 - P) ( 1.05)⁵ (3364 - P) ( 1.05)⁵ = P ( 1.05)³ => (3364 - P) ( 1.05)² = P => (3364 - P) ( 1.1025) = P => 3,708.81 - 1.1025P = P => 2.1025P = 3,708.81 => P = 1,764 The share of Ram in principal amount is 1,764 Rs learn More: Find the amount and the compound interest rs 300 at 3% per annum ... |
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