Question

A sum of rs 44200 is divided between john and smith 12 yrs and 14 yra old respectively insuch a way that if their portions be invested at 10 percent per annum compound interest they will receive equal amounts on reaching 16 yrs of age 1. whatvis the share of each out of rs44200 2. what will receive each when 16 yrs ald

Answer 1

Answer:

Step-by-step explanation:

Let John's share be x & Smith's share be 44200-x :

John's time =16 -12 = 4yrs

​Smith's time = 16-14 = 2yrs

According to the question ;

John's amount =Smith's amount

x(1+(10/100))4 =(44200 -x)(1+ (10/ 100))2

x(11 /10)4 = (44200 -x) (11/10)2

x(11 /10)2 = 44200 - x

121 x / 100 = 44200 - x

(121 x/ 100) + x = 44 200

221 x / 100 = 44 200

221 x = 44200 * 100

221 x = 44 20 000

x = 44 20 000 / 221

x = 20 000

Hence ,

John's share = x = Rs 20,000

Smith's share = 44 200 - 20 000 = Rs 24200

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Answer 2

Answer:

Step-by-step explanation: