Two partners Rahim and karim together lend 1,682 at 5 %p.a compounded annually. The amount Rahim gets at the end of 3 years is same as karim gets at the end of 5 year. Determine the share of each in the principal.
Answers
Answer:
RAHIM = 882
KARIM = 800
Step-by-step explanation:
Assume Rahim's share = X
He gets after 3 year = X * (1 + 5/100)^ 3
= X * 1.158
Karim's share = 1682 - X
He gets after 5 year = (1682 - X ) *(1 + 5/100)^5
= (1682 - X ) * 1.276
These both amount are same
=> 1.158 * X = ( 1682 - X) * 1.276
=> 1.158 * X = 2146.232 - 1.276 * X
=> 2.434 * X = 2146.232
=> X = 881.77
=> X = 882
Karim = 1682 - 882 = 800
Answer:
RAHIM = 882
KARIM = 800
Step-by-step explanation:
Assume Rahim's share = X
He gets after 3 year = X * (1 + 5/100)^ 3
= X * 1.158
Karim's share = 1682 - X
He gets after 5 year = (1682 - X ) *(1 + 5/100)^5
= (1682 - X ) * 1.276
These both amount are same
=> 1.158 * X = ( 1682 - X) * 1.276
=> 1.158 * X = 2146.232 - 1.276 * X
=> 2.434 * X = 2146.232
=> X = 881.77
=> X = 882
Karim = 1682 - 882 = 800
Thanks..
Hope it will help u.