Question

A sum of rupess 44200 is divided between John and smith ,12 years and 14 years old respectively,in such a way that if their portion be invested at 10% per annum compound interest,they will receive equal amount on reaching 16 years of age. 1)What is the share of each out of 44200?2)What will each receive,when 16 years old?

Answer 1

HEY DEAR ... ✌

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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


HOPE , IT HELPS ... ✌

Answer 2

Answer:

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hope it helps

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