Question

Calculate the amount and the compound interest on 8000rs in 2andhalf year at 15% per annum

Answer 1

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

• $\rm{Principal=Rs.8000}$
• $\rm{Time=2\dfrac{1}{2}\: year's}$
• $\rm{Rate=15\%}$

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

• $\rm{Amount\:and\: Compound\: interest}$

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

• Note:When time is given half-yealy than we have to convert the time and rate. Time is multiplied by 2 and rate is divided by 2

$\rm\red{\implies Rate=\dfrac{r}{2}=\dfrac{15}{2}}$

$\rm\red{\implies Time=t\times2=2\dfrac{1}{2}\times2=2\times\dfrac{5}{2}=5\: year's}$

$\sf\large\underline{Formula\:used:}$

$\rm{\implies A=P(1+\dfrac{r}{100})^n}$

$\rm{\implies A=8000(1+\dfrac{15/2}{100})^5}$

$\rm{\implies A=8000(1+\dfrac{3}{40})^5}$

$\rm{\implies A=8000(\dfrac{40+3}{40})^5}$

$\rm{\implies A=8000(\dfrac{43}{40})^5}$

$\rm{\implies A=8000\times1.43562933}$

$\rm\purple{\implies A=Rs.11485.0346}$

• Now, calculate compound interest

$\rm{\implies CI=A-P}$

$\rm{\implies CI=11485.0346-8000}$

$\rm\purple{\implies CI=Rs.3485.0346}$

Hence,

$\rm\red{\implies Amount=Rs.11485.0346}$

$\rm\red{\implies Compound\: Interest=Rs.3485.0346}$

Answer 2

Question

Calculate the amount and the compound interest on 8000rs in 2andhalf year at 15% per annum.

Solution is tough

but we solve by solving we get

Amount:-11485.0346

Compound interest=3485.0346