Question

Find the difference between simple and compound interest on 500 for 2 years at 8 %p.a​

Answer 1

Answer:

ANSWER

Given

P=Rs.8500,R=6%,n=2 yrs

We know that amount A at the end of n years at the rate R % per annum when the interest is compounded annually is  

A=P(1+  

100

R

​  

)  

n

 

=8500(1+  

100

6

​  

)  

2

 

=8500(  

100

106

​  

)  

2

=  

100

85×106  

2

 

​  

=0.85×106  

2

 

=Rs. 9550.6

Also  CI=A−P=9550.6−8500.0=Rs1050.6

We know that SI=  

100

PRT

​  

 

=  

100

8500×6×2

​  

=Rs1020

∴ Difference between CI and SI

CI−SI=9550.6−1020.0=Rs.8530.6

Step-by-step explanation:

Answer 2

$\Huge\boxed {r.s=3.2}$

$\Large{\textsf{\textbf{\underline{\underline{Given\::}}}}}$

$p = rs.500$

$r = 8\%p.a.$

$t = 2 \: years.$

$\Large{\textsf{\textbf{\underline{\underline{To.find\::}}}}}$

$●diffrence \: between \\ \: ci \: and \: si$

$\Large{\textsf{\textbf{\underline{\underline{formulas.used\::}}}}}$

$si = \frac{prt}{100}$

$A = p \: (1 + \frac{r}{100} )t$

$c.i = a-p$

$\Large{\textsf{\textbf{\underline{\underline{solusion\::}}}}}$

${\bf{1.case\::}}$

$➣to \: find \: s.i.$

$➣we \: know, \:$

$➣s.i. = \frac{p \times r \times t}{100}$

$➣s.i. = \frac{500 \times 8 \times 2}{100}$

$\small{\textsf{\textbf{\underline{\underline{ ➣s.i = 80\::}}}}}$

${\bf{2.case\::}}$

$➣to \: find \: ci,$

$➣we \: know, \:$

$➣A = p(1 + \frac{r}{100} )t$

$➣a = 500(1 + \frac{8}{100} ) {}^{2}$

$➣a = 500(100 + \frac{8}{100} ) {}^{2}$

$➣a = 500( \frac{108}{100} ) {}^{2}$

$➣a = 500 \times \frac{108}{100} \times \frac{108}{100}$

$\small{\textsf{\textbf{\underline{\underline{➣A = 583.2\::}}}}}$

${\bf{3.case\::}}$

$➣to.find.c.i$

$➣we.know. c.i = A - p$

$➣c.i = 583.2 - 500$

$\small{\textsf{\textbf{\underline{\underline{➣c.i = 83.2\::}}}}}$

$\small{\textsf{\textbf{\underline{\underline{now.finding.the.diffrence.between.ci.and.si\::}}}}}$

$➣c.i = 83•2$

$➣s.i = 80$

$➣difference = r.s (83.2 - 80)$

$\Large{\textsf{\textbf{\underline{\underline{➣r.s = 3.2\::}}}}}$

$\Large{\textsf{\textbf{\underline{\underline{form.the.soluaion\::}}}}}$

$●p = principal \\ ●r = rate \: of \: interest \\ ●t = time \\ ●si = simple \: interest \\ ●ci = compound \: interest \\ ●a = amount$