Question

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

Answer 1

Answer:

Let the sum be Rs.100

Computation of compound interest:

Prinicpal =Rs.100

R=10% per annum and n=2 years.

Amount=Rs.

⎣

⎢

⎡

100×(1+

100

10

)

2

⎦

⎥

⎤

=Rs.

⎣

⎢

⎡

100×(

2

11

)

2

⎦

⎥

⎤

=Rs.121

Computation of simple interest:

Prinicpal =Rs.100

R=10% and Time =2 years.

∴S.I.=Rs.(

100

100×10×2

)=Rs.20

Thus, difference in C.I. and S.I.=Rs.(21−20)=Re.1

Now, if difference between C.I and S.I. is Re.1, Then Sum =Rs.100

If difference between C.I. and S.I. is Rs.500, Then Sum =Rs.(100×500)=Rs.50000

Step-by-step explanation:

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Answer 2

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

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

$p = rs.500$

$r = 8\%p.a.$

$t = 2 \: years.$

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

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

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

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

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

$c.i = a-p$

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

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

$➣to \: find \: s.i.$

$➣we \: know, \:$

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

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

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

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

$➣to \: find \: ci,$

$➣we \: know, \:$

$➣A = p(1 + \frac{r}{100} )t$

$➣a = 500(1 + \frac{8}{100} ) {}^{2}$

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

$➣a = 500( \frac{108}{100} ) {}^{2}$

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

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

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

$➣to.find.c.i$

$➣we.know. c.i = A - p$

$➣c.i = 583.2 - 500$

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

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

$➣c.i = 83•2$

$➣s.i = 80$

$➣difference = r.s (83.2 - 80)$

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

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

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