Question

at the same rate of interest p.a the Si and ci will be equal in what years
​

Answer 1

Answer:

T=2years, R=5%p.a,

CI−SI=Rs5

Let the sum of money lent be x.

Then,

Simple Interest=Rs  

100

x×2×5

​  

=Rs  

10

x

​  

 

Compound Interest:-

Interest for the 1st year=Rs  

100

x×5×1

​  

=Rs  

20

x

​  

 

Amount after the 1st year=Rs x+  

20

x

​  

=Rs  

20

21x

​  

 

Interest for the 2nd year=Rs  

20

21x

​  

×  

100

5×1

​  

 

=Rs  

400

21x

​  

 

Amount after the 2nd year=Rsx+  

400

21x

​  

+  

20

21x

​  

 

=Rs  

400

441

​  

 

Then,

400

41x

​  

−  

10

x

​  

=5

⇒  

400

41x−40x

​  

=5

⇒x=Rs 2000

∴Required sum of money lent=Rs2000.

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