Rama and shama together gave ₹3364 at a rate of 5% per annum at a compound interest after 3 year rama got the same amount as shama got after five years,thrn how much was rama's share in the principal?
Answers
Answered by
0
Answer:
Ram Amount = P Rs
Shyam Amount = 3364 - P Rs
A = P(1+ R/100)"
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
Similar questions