Question

hello reply fast with solution​

Answer 1

Rs. 27

thanks

Jaishna Vardhan

Answer 2

Question:-

Find the difference between the simple interest and compound interest on Rs.4800 for 2 years at 50% per annum, compound interest being reckoned annually.

(a) Rs.19

(b) Rs.18

(c) Rs.12

(d) Rs.27

Answer:-

Option (c) Rs.12 is the correct answer.

______________________________________

Step by step explanation:-

Given:-

• Principal (P) = Rs.4800
• Time (T) = 2 years
• Rate (R) = 5% p.a.

To Find:-

The difference between Simple Interest and Compound Interest.

Solution:-

We know,

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

= $\sf{SI = \dfrac{4800\times 5\times 2}{100}}$

= $\sf{SI = 48\times 5\times 2}$

= $\sf{SI = 480}$

Therefore Simple Interest = Rs.480

Now,

For Compound Interest,

We know,

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

= $\sf{A = 4800\bigg(1+\dfrac{5}{100}\bigg)^2}$

= $\sf{A = 4800\bigg(1+\dfrac{1}{20}\bigg)^2}$

= $\sf{A = 4800\bigg(\dfrac{20+1}{20}\bigg)^2}$

= $\sf{A = 4800\bigg(\dfrac{21}{20}\bigg)^2}$

= $\sf{A = 4800\bigg(\dfrac{21}{20}\bigg)\bigg(\dfrac{21}{20}\bigg)}$

= $\sf{A = 12\times 21\times 21}$

= $\sf{A = 5292}$

Now,

CI = $\sf{A-P}$

= $\sf{CI = 5292 - 4800}$

= $\sf{CI = 492}$

Therefore, Compound Interest = Rs.492

Difference between CI and SI :-

= CI - SI

= $\sf{492 - 480}$

= $\sf{12}$

Therefore the difference between CI and SI is of Rs.12.

______________________________________