Question

Rs. 260200 is divided between ram and shyam so that the amount that ram receives in 3 years is the same as that shyam receives in 6 years. if the interest is compounded annually at the rate of 4% per annum then ram's share is

Answer 1

HELLO DEAR,

Let Ram get ₹ x .
then, Shyam get ₹(260200−x)
then Amount get by
Ram after 3 years
= x * (1 + 4/100)³

and Amount get by Shyam after 6 years
= (260200−x)(1+4/100)^6

according to questions both get equal amount

So,
X(1 + 4/100)³ = (260200 − x)(1 + 4/100)^6

$\bold{\frac{x}{260200 - x} = \frac{(104)^3}{(100)^3}}$

$\bold{\frac{x}{260200 - x} = \frac{1124864}{1000000}}$

$\bold{\frac{x}{260200 - x} = (1.124864)}$

$\bold{x = 292689.613 - 1.124864x}$

$\bold{2.124864x = 292689.613}$

$\bold{x = 292689.613/2.124864}$

$\bold{x = 137,745.104}$

I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

137745.104 is your answer friend