Question

in what time will 12000rs yeild 3972rs as compound interest at 10%p.a. if compounded yearly basis​

Answer 1

hope it helps you... thanks

Answer 2

✷ You use this ↑↑↑↑method or this ↓↓↓↓

$\red{\underline{\underline{\bold{Answer:}}}}$

$\purple{\tt{\therefore{N = 3\:years}}}$

• Given

◕ Principal (P) = Rs. 12000

◕ Rate (R) = 10%

◕ Compund Interest (C.I) = Rs. 3972

$\green{\underline{\bold{Solution:}}}$

$\tt{12000 - - - - - 3972} \\ \\ \: \: \: \tt{R = 10\: percent = 0.10} \\ \\ \tt{A = (P + C.I) = 12000 + 392 = 15972} \\ \\\tt{ A = P {(1 + \frac{r}{n}) }^{nt} }$

$\tt{\implies \: 15972 = 12000\: {(1 + \frac{0.01}{1}) }^{t}} \\ \\ \tt{ \implies \: 15972 = 12000 \times {(1.1)}^{t}} \\ \\ \tt{\implies \: {(1.1)}^{t} = \frac{15972}{12000}} \\ \\ \tt{\implies{(1.1)}^{t} = 1.331} \\ \\\tt{\implies t \: log \: 1.1 = log \: 1.331} \\ \\ \tt{\purple{\implies\:t = \frac{log \: 1.331}{log \: 1.1} = 3}}$

So, in 3 year 12000 Rs yeild 3972 Rs.