Question

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★ At what rate percent compounded intrest, Rs.800 amounts to Rs.926.10 in ½ years, being compounded half yearly?

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Answer 1

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3/2 %

Hope this helps!!

Answer 2

$\bf \red{ \underline{ \underline{given}}}$

principal, P= Rs 800

Amount, A = Rs 926.10

Time, n = 1 ½ = 3 half years

Rate =r °/• p.a = r/2 per half year

$\bf \red{ \underline{ \underline{to \: find \: out}}}$

Rate of interest =?

$\bf \red{ \underline{ \underline{formula \: used}}}$

$\orange{A = p(1 + \frac{r}{100} ) {}^{n} }$

$\bf \red{ \underline{ \underline{solution}}}$

$A = p(1 + \frac{r}{100} ) {}^{n}$

$\star \: putting \: the \: value$

= > 926.10 = 800(1 + $\frac{r}{200} ) {}^{3}$

= > $\frac{926.10}{800} = (1 + \frac{r}{200} ) {}^{3}$

= > $\frac{9261}{8000} = (1 + \frac{r}{200} ) {}^{3}$

= > $( \frac{21}{20} ) {}^{3 } = (1 + \frac{r}{200} ) {}^{3}$

= >$\frac{21}{20} = 1 + \frac{r}{200}$

= >$\frac{r}{200} = \frac{21}{20}$

= > $\frac{r}{200} = \frac{1}{20}$

= >$r = \frac{200}{20}$

= > $\purple {r = 10}$

$\therefore \: \: required \: rate \: of \: interest \: is\: 10\%$