Question

₹16820 is divided between two brothers of age 27 year and 25 year.they invested their money at 5%per annum compound interest at 5% per annum compound interest in such a way that both will recive equal at the age 40 year .the share of elder brother is
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Answer 1

Answer:

Money receive by elder brother=12089.37 Rs.

Money receive by younger=4730.62 Rs.

Step-by-step explanation:

Given that

R.16820 has to be divided between two brothers

Lets take money receive by elder brother (27 years age )Rs. x and money receive by younger(25 years age) brother is Rs  (16820 -x).

As we know that principle amount in compound interest given as follows

$P=A\left ( 1+\dfrac{r}{100} \right )^n$

So

the money receive by elder brother

$P=A\left ( 1+\dfrac{r}{100} \right )^n$

$P=x\left ( 1+\dfrac{5}{100} \right )^{13}$

P=1.88 x

the money receive by younger brother

$P=A\left ( 1+\dfrac{r}{100} \right )^n$

$P=(16820-x)\left ( 1+\dfrac{5}{100} \right )^{15}$

P=2.07(16820-x)

Given that these two amount are equal

So

1.88 x =2.07(16820-x)

x=12089.37 Rs.

So

Money receive by elder brother=12089.37 Rs.

Money receive by younger=4730.62 Rs.