Math, asked by monikkagupta, 4 months ago

A farmer wants to divide rupee 390300 between his two daughters who are 16 year and 18 years old respectively in such a way that the sum invested at the rate of 4% per annum, compounded
annually will give the same amount to each, when they attain the age of 21 years. How should he divide the sum?

Answers

Answered by amitnrw
5

Given :  A farmer wants to divide rupee 390300 between his two daughters who are 16 year and 18 years old respectively in such a way that the sum invested at the rate of 4% per annum, compounded

annually will give the same amount to each, when they attain the age of 21 years.

To Find :  Amount received by each daughters

Solution:

Let say Younger daughter receiver  = Rs  X

then Elder Daughter will will receive = 390300 - X  Rs

Younger daughter  will receive interest for 21 - 16 = 5 years

Elder daughter  will receive interest for 21 - 18 = 3 years

Hence Younger daughter  will receive interest  for 2 years extra

=> After 2 year  younger daughters amount should be same as Elder Daughter

as after that both will be getting interest for 3 years

Formula is  A = P (1 + R/100)ⁿ

X ( 1 + 4/100)² = 390300 - X

=> X (26/25)² = 390300 - X

=> X = 1,87,500

390300 - X =  2,02,800

Hence younger daughter receive =  1,87,500 Rs

and Elder daughter receive = 2,02,800

PS

X ( 1 + 4/100)² = 390300 - X

this can be understand this ways also

X ( 1 + 4/100)⁵ = (390300 - X) ( 1 + 4/100)³

=> X ( 1 + 4/100)² = 390300 - X

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Answered by stejpratap690
0

Step-by-step explanation:

16years rs187500 18years rs202800

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