Question

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.

Answer 1

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 2

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

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