Question

the difference of compound interest and simple interest for rupees 2000 and 12% for 1 year is rupees?
please reply soon it's very much urgent option is 1,0,12,20

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Answer 1

Answer:

20 .........................

Answer 2

Given:-

• P = Rs.2000
• R = 12 %
• T = 1 year

To find:-

$\sf{\underline{Difference\:between\:Simple\:Interest\:and\:Compound\:Interest}}$

Solution:-

1st case,

We know,

$\sf{SI = \dfrac{P\times R\times T}{100}}$

= $\sf{SI = \dfrac{2000\times12\times1}{100}}$

= $\sf{SI = Rs.240}$

Now,

2nd case,

We know,

$\sf{A = P\bigg(1+\dfrac{r}{100}\bigg)^t}$

= $\sf{A = 2000\bigg(1+\dfrac{12}{100}\bigg)^1}$

= $\sf{A = 2000\bigg(\dfrac{100+12}{100}\bigg)^1}$

= $\sf{A = 2000\bigg(\dfrac{112}{100}\bigg)^1}$

= $\sf{A = 2000\times\dfrac{112}{100}}$

= $\sf{A = Rs.2240}$

Difference between SI and CI:-

$\sf{Difference = CI - SI = Rs.(2240 - 240) = Rs. 2000}$

Note:-

• SI = Simple Interest
• CI = Compound Interest
• R = Rate
• T = Time
• A = Amount