Math, asked by kashish653737, 3 months ago

The compound interest for 1st year and 2nd year on a certain sum will be​

Answers

Answered by amitnrw
2

Given : The compound interest for 1st year and 2nd year on a certain sum will be​

To Find : Correct option :

Same

Different

Depend upon principle

Depend on rate of interest

Solution:

Correct option is  Different

The compound interest for 1st year and 2nd year on a certain sum will be​ Different

Interest for 1st year will be = P(1 + R/100) - P   =    PR/100

Interest for 2 years will be = P(1 + R/100)² - P   =   2PR/100  +  PR²/100²

=> Interest for 2nd year =   2PR/100  +  PR²/100² - PR/100

= PR/100  + PR²/100²

PR/100 ≠  PR/100  + PR²/100²

1st year interest ≠   2nd year interest

Basically additional interest PR²/100²  is interest over 1st year interest

 (PR/100) * R * 1/100  = PR²/100²

Hence The compound interest for 1st year and 2nd year on a certain sum will be​ Different

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