Question

Calculate the difference of compound interstas
simple interest of Rs. 10,000 for two years at the rate
of 10%
​

Answer 1

Answer:

this is your answer

Step-by-step explanation:

10000; Rate = 2% per half-year; Time = 2 years = 4 half-years. Amount == Rs. 10824.32.

We know that simple interest is , SI=PRT/100

Where , P=principle amount

R=rate

T=time period

Given : P=Rs10000

R=10%per annum

T=2years

SI=(10000×10×2)/100

SI=Rs2000

Answer 2

Correct Question:

• Calculate the difference of compound interest and simple interest of ₹ 10,000 for two years at the rate  of 10%.

Answer:

• The difference is of ₹ 100.

Step-by-step explanation:

Given that:

• Principal = ₹ 10000

• Rate = 10%

• Time = 2 years

To Find:

• Difference between compound interest and simple interest.

Formulas Used:

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

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

Where,

• A = Amount of Compound Interest

• P = Principal

• R = Rate

• T = Time

Finding Compound Interest:

We know that,

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

Substituting the values,

$\sf{A=10000\bigg(1+\dfrac{10}{100}\bigg)^2}$

Adding 1 and 1/100,

$\sf{\longrightarrow10000\bigg(\dfrac{100+10}{100}\bigg)^2}$

$\sf{\longrightarrow10000\bigg(\dfrac{110}{100}\bigg)^2}$

Cutting off the zeros,

$\sf{\longrightarrow10000\bigg(\dfrac{11\!\!\!\not{0}}{10\!\!\!\not{0}}\bigg)^2}$

$\sf{\longrightarrow10000\bigg(\dfrac{11}{10}\bigg)^2}$

Opening the brackets,

$\sf{\longrightarrow10000\times\dfrac{11}{10}\times\dfrac{11}{10}}$

Cutting off the zeros,

$\sf{\longrightarrow100\!\!\!\not{0}\!\!\!\not{0}\times\dfrac{11}{1\!\!\!\not{0}}\times\dfrac{11}{1\!\!\!\not{0}}}$

Multiplying the numbers,

$\sf{\longrightarrow12100}$

Hence, Amount = ₹ 12100

Therefore, CI = (A - P)

= ₹(12100 - 10000)

= ₹ 2100

Finding Simple Interest:

As we know that,

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

Substituting the values,

$\sf{SI = \dfrac{10000\times 10\times 2}{100}}$

Cutting off the zeros,

$\sf{\longrightarrow \dfrac{100\!\!\!\not{0}\!\!\!\not{0}\times 10\times 2}{1\!\!\!\not{0}\!\!\!\not{0}}}$

$\sf{\longrightarrow \dfrac{100\times10\times2}{1}}$

Multiplying the numbers,

$\sf{\longrightarrow 2000}$

Hence, Simple Interest = ₹ 2000

Difference between CI and SI:

As we know that,

• CI = ₹ 2100

• SI = ₹ 2000

Now,

Difference = ₹(2100 - 2000)

= ₹ 100

Hence, difference between CI and SI is ₹ 100.

Abbreviations Used:

• CI = Compound Interest  

• SI = Simple Interest