Question

The difference between the compound interest and simple interest on Rs 4000 at 8% p.a in 2 years is

Answer 1

Answer:

ANSWER

For ,

N=2years

R=10 %

P=Rs4,000

We have S.I.=

100

PNR

=

100

4,000×2×10

=Rs800

And on interest being compounded for 2 years and R=10 %, Amount=P(1+

100

R

)

N

=4,000×(1+

100

10

)

2

=4,000×1.1×1.1=Rs.4,840

So, C.I.=A−P=4,840−4,000=840

And required difference C.I.−S.I.=840−800=Rs40

Step-by-step explanation:

hope it will helps you :)

Answer 2

$\Huge\boxed {r.s=25.6}$

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

$p = rs.4000$

$r = 8\%p.a.$

$t = 2 \: years.$

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

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

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

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

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

$c.i = a-p$

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

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

$➣to \: find \: s.i.$

$➣we \: know, \:$

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

$➣s.i. = \frac{4000 \times 8 \times 2}{100}$

$\small{\textsf{\textbf{\underline{\underline{ ➣s.i = 640\::}}}}}$

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

$➣to \: find \: ci,$

$➣we \: know, \:$

$➣A = p(1 + \frac{r}{100} )t$

$➣a = 4000(1 + \frac{8}{100} ) {}^{2}$

$➣a = 4000(100 + \frac{8}{100} ) {}^{2}$

$➣a = 4000( \frac{108}{100} ) {}^{2}$

$➣a = 4000 \times \frac{108}{100} \times \frac{108}{100}$

$\small{\textsf{\textbf{\underline{\underline{➣A = 4665.6\::}}}}}$

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

$➣to.find.c.i$

$➣we.know. c.i = A - p$

$➣c.i = 4665.6 - 4000$

$\small{\textsf{\textbf{\underline{\underline{➣c.i = 665.6\::}}}}}$

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

$➣c.i = 665•6$

$➣s.i = 640$

$➣difference = r.s (665.6 - 640)$

$\Large{\textsf{\textbf{\underline{\underline{➣r.s = 25.6\::}}}}}$

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

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