Question

in what time will 1860 amount to 2641,: 20 at simple interested 12% per annum
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Answer 1

AnswEr :

$\bold{Given} \begin{cases} \sf{Amount=Rs. \: 2641.20} \\ \sf{Principal=Rs. \: 1860} \\ \sf{Rate=12 \% \: p.a.} \\ \sf{Time=? }\end{cases}$

• Using the Formula for Simple Interest :

$\leadsto\sf Simple \: Interest = \dfrac{PRT}{100}$

$\leadsto\sf (Amount - Principal) = \dfrac{PRT}{100}$

$\leadsto\sf (2641.20 - 1860) = \dfrac{1860 \times 12 \times T}{100}$

$\leadsto\sf 781.2 = \dfrac{1860 \times 12 \times T}{100}$

$\leadsto\sf 781.2 \times 100 = 1860 \times 12 \times T$

$\leadsto\sf 78120= 1860 \times 12 \times T$

$\leadsto\sf \dfrac{ \cancel{78120}}{\cancel{1860} \times 12}= T$

$\leadsto\sf \cancel\dfrac{42}{12}= T$

$\leadsto\boxed{\sf T = 3.5 \: Yrs}$

⠀

∴ Hence, the Time will be 3.5 Yrs.

Answer 2

$\bold{Given}\begin{cases}\sf{Principal=1860}\\\sf{Rate=12%\:p.a}\\\sf{Time=?}\\ \sf{Amount=2641.20}\end{cases}$

$\green{\bold{\underline{\underline{Step\:by\:step\:explanation:}}}}$

we know that ,

$\red{\bold{simple\:interest=\:Amount\:-Principal}}$

Simple interest = 2641.20-1860 = 781.2 Rs.

now, we know that,

$\large\red{\boxed{\sf time = \frac{si \times 100}{p \times r}}}$

so,

$time = \frac{781.2 \times 100}{1860 \times 12}$

$\purple{\bold{Time=3.5\:Years}}$