Question

· Divide 28,730 between A and B so that
when their shares are lent out at 10 per cent
compound interest compounded per year, the
amount that A receives in 3 years is the same
as what B receives in 5 years.​

Answer 1

Answer:

Step-by-step explanation:

Total amount to be divided =Rs.28730

Let A gets amount =x

⇒ B gets =28730−x

Rate =10% per annum compounded annually.

⇒  Amount of A=x(1+  

100

10

​  

)  

3

 [In 3 year]

=x(  

10

11

​  

)  

3

 

On 5 years

Amount B gets =(28730−x)(1+  

100

10

​  

)  

5

 

=(28730−x)(  

10

11

​  

)  

5

 

Both amounts are equal.

⇒ x(  

10

11

​  

)  

3

=(28730−x)(  

10

11

​  

)  

5

 

⇒ 100x=28730×121−121x

⇒ 221x=28730×121

⇒ x=  

221

28730×121

​  

 

221

3476330

​  

=15730

⇒  Amount given to A=Rs.15,730

Amount given to B=Rs.(28730−15730)  

=13000 Rs.