father shared an amount of rs. 33,201 to his two sons and their shares are invested at a compound interest of 4% per annum. if the amount received by the elder son at the end of 2 years is the same as the amount received by the younger son at the end of 5 years, then the share (in rupees) of the yo…

Question

father shared an amount of rs. 33,201 to his two sons and their shares are invested at a compound interest of 4% per annum. if the amount received by the elder son at the end of 2 years is the same as the amount received by the younger son at the end of 5 years, then the share (in rupees) of the younger son is

Akarsha Mandala · Answer

Hi Ajay Kumar,
Let the share of elder son be x and younger son be y.
x + y = 33201
It is given,
x(1+4/100)^2 = y(1+4/100)^5
x = y(1+4/100)^3
33201 - y = y(26/25)^3
33201 = y(33201/15625)
y = 15625
Hope this helps!

Ajita · Answer

15,625?

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