Question

find principal?final amount is 2420 at rate 4% per Ammun for 5/2 years​

Answer 1

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

$\green{\tt{\therefore{Principal=2200\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Amount(A) = 2420 \: rupees \\ \\ \tt: \implies Rate\%(r) = 4\% \\ \\ \tt: \implies Time(t) = \frac{5}{2} \: year \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Principal(p) = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies S.I = A - p \\ \\ \tt: \implies S.I= 2420 - p - - - - - (1) \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies S.I= \frac{p \times r \times t}{100} \\ \\ \tt: \implies 2420 - p = \frac{p \times 4 \times \frac{5}{2} }{100} \\ \\ \tt: \implies 2420 - p = \frac{20p}{200} \\ \\ \tt: \implies 2420 - p = 0.1p \\ \\ \tt: \implies 2420 = 0.1p + p \\ \\ \tt: \implies 1.1p = 2420 \\ \\ \tt: \implies p = \frac{2420}{1.1} \\ \\ \green{\tt: \implies p = 2200 \: rupees} \\ \\ \green{\tt \therefore Principal \: is \: 2200 \: rupees}$

Answer 2

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

$\sf{Principal \ is \ Rs \ 2200}$

$\sf\orange{Given:}$

$\sf{\implies{Final \ amount(A)=Rs \ 2420}}$

$\sf{\implies{Rate \ of \ Interest(r)=4\%}}$

$\sf{\implies{Time(t)=\frac{5}{2} \ years}}$

$\sf\pink{To \ find:}$

$\sf{Principal (p)}$

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

$\sf{Simple \ Interest=Amount \ - \ Principal}$

$\sf{\therefore{S.I.=2420-p}}$

$\boxed{\sf{S.I.=\frac{p\times \ r\times \ t}{100}}}$

$\sf{\therefore{2420-p=\frac{p\times4\times\frac{5}{2}}{100}}}$

$\sf{\therefore{2420-p=\frac{10p}{100}}}$

$\sf{\therefore{0.1p+p=2420}}$

$\sf{1.1p=2420}$

$\sf{p=\frac{2420}{1.1}}$

$\sf{p=Rs \ 2200}$

$\sf\purple{\tt{\therefore{Principal \ is \ Rs \ 2200}}}$