Question

15. Divide * 20,000 into two parts such that simple interest on one at 5% for 4 years may be equal to that on the
other at 4% for 6 years.​

Answer 1

Answer:

Let the parts be RsA;Rs15,600−A  

Simple Interest I=  

100

PNR

​  

 

For the first situation, Given,  

P=RsA  

N=5years  

R=5 %  

So, =>I=  

100

PNR

​  

 

=>I  

1

​  

=  

100

A×5×5

​  

 

=>I  

1

​  

=  

100

25A

​  

 

For the second situation, Given,  

P=Rs15,600−A  

N=6years  

R=  

2

9

​  

 %  

So, =>I=  

100

PNR

​  

 

=>I  

2

​  

=  

100

(15,600−A)×6×  

2

9

​  

 

​  

 

=>I  

2

​  

=  

100

(15,600−A)×27

​  

 

Given, I  

1

​  

=I  

2

​  

 

=>  

100

25A

​  

=  

100

(15,600−A)×27

​  

 

25A=(15,600−A)×27

25A=421200−27A

=>52A=421200  

=>A=Rs8,100  

And other part =Rs15,600−Rs8,100=Rs7,500

Step-by-step explanation:

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