Question

The difference between C.I. and S.I. on a sum of rs 4000 for 2 years at 5 %per annum. Payable yearly is​

Answer 1

$\sf\large\underline{Given:}$

• $\rm{Principal=Rs.4000}$
• $\rm{Time=2\: year's}$
• $\rm{Rate=5\%}$

$\sf\large\underline{To\: Find:}$

• $\rm{The\: difference\: between\:CI\:and\:SI}$

$\sf\large\underline{Solution:}$

• At 1st we have to find si and ci than calculate their difference]

$\rm{\implies Calculation\:for\:SI}$

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

$\rm{\implies SI=\dfrac{4000\times 2\times 5}{100}}$

$\rm{\implies SI=40\times 2\times 5}$

$\rm{\implies SI=Rs.400}$

$\rm{\implies Calculation\:for\:CI}$

$\rm{\implies CI=P(1+\dfrac{r}{100})^2-P}$

$\rm{\implies CI=4000(1+\dfrac{5}{100})^2-4000}$

$\rm{\implies CI=4000\times\:\dfrac{441}{400}-4000}$

$\rm{\implies CI=441\times\:10-4000}$

$\rm{\implies CI=4410-4000}$

$\rm{\implies CI=Rs.410}$

• Now, calculate their difference here]

$\rm{\implies Difference\:_{CI-SI}=410-400}$

$\rm{\implies Difference\:_{CI-SI}=Rs.10}$

$\sf\large\underline{Hence,}$

$\sf{\implies The\: difference\: between\:CI\:and\:SI=Rs.10}$

Answer 2

Question

The difference between C.I. and S.I. on a sum of rs 4000 for 2 years at 5 %per annum. Payable yearly is

Here we will solve this question by short cut method:-

$= > ci - si = p( \frac{r}{100} ) {}^{2}$

=>CI-SI=4000×(5/100)²

=>CI-SI=4000×1/400

=>CI-SI=10