Question

At 10% interest p.a.the ratio of the simple interest and compound interest for 2yrs will be
1)10:11
2)11:10
3)20:21
4)21:20
And solve the problem also that how it is done.​

Answer 1

At 10% interest p.a.the ratio of the simple interest and compound interest for 2yrs will be option (3): 20:21

Step-by-step explanation:

Let the sum invested for S.I. & C.I. be denoted as Rs. “P”.

The rate of interest, R = 10%

Time period, T or n = 2 years

For Simple Interest:

S.I. = [PRT] / 100

Substituting the given values, we get

S.I. = [P*10*2]/100  

⇒ S.I. = P/5 ……. (i)

For Compound Interest:

C.I. = P[(1+R/100)ⁿ – 1]

Substituting the given values, we get

C.I. = P[(1+10/100)² – 1]

⇒ C.I. = P [(11/10)² - 1]

⇒ C.I. = P [(121/100) - 1]

⇒ C.I. = P [(121-100)/100]

⇒ C.I. = 21P/100 …… (ii)

Thus, substituting the values from (i) & (ii), we get

The ratio of the S.I. and C.I. is,

=  [P/5] / [21P/100]

= [P*100] / [5 * 21P]

= 20/21

= 20:21

Hope this is helpful!!!!!

Answer 2

Answer:

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