Question

In how much time simple interest on rs.2100 at 5% per annum be rs.525​

Answer 1

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

$\green{\tt{\therefore{Time=5\:years}}}$

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

$\green{ \underline \bold{Given :}} \\ \tt: \implies Principal(p) = rs. \: 2100 \\ \\ \tt: \implies Rate\% = 5\% \\ \\ \tt: \implies Simple \: Interest(S.I) = 525 \\ \\ \red{ \underline \bold{To \: Find :}} \\ \tt: \implies Time(t) = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies S.I= \frac{p \times r \times t}{100} \\ \\ \tt: \implies 525 = \frac{2100 \times 5 \times t}{100} \\ \\ \tt: \implies 525 \times 100 = 2100 \times 5 \times t \\ \\ \tt: \implies \frac{525 \times 100}{2100 \times 5} = t \\ \\ \tt: \implies t = \frac{105}{21} \\ \\ \green{\tt: \implies t = 5 \: years} \\ \\ \purple{\bold{some \: related \: formula}} \\ \pink{\tt \circ \: A = p(1 + \frac{r}{100})^{2} } \\ \\ \pink{\tt\circ \: C.I = A - p}$

Answer 2

5 yr

Step-by-step explanation:

Given :

Principal(p) = Rs 2100

Rate of interest (r) = 5 %

Simple Interest (i) = Rs 525

To find :Time(t)

Solution :

We know that,prt/100 = i

t = (i×100)/ p× r

$\frac{525 \times 100}{5 \times 2100} \: \: \: \: \: yr\\ \\ \frac{525}{105} \: \: \: \: yr\\ \\ 5 \: \: \: yr$

Hence, The required time is 5 yr .