Question

The rate of %on rs 450 for 2 years of the interest is rs 45 will be

Answer 1

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

$\green{\tt{\therefore{Rate\%=5\%}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: {\implies Principal(p) = 450 \: rupees} \\ \\ \tt: {\implies Time(t) = 2 \: years}\\ \\ \tt: {\implies S.I = 45 \: rupees} \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: {\implies Rate\% = ?}$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: {\implies S.I = \frac{p \times r\times t}{100} }\\ \\ \tt: { \implies 45 = \frac{450 \times r \times 2}{100} }\\ \\ \tt: {\implies 45 \times 100 =900 \times r} \\ \\ \tt: {\implies 4500 = 900 \times r} \\ \\ \tt: {\implies r = \frac{4500}{900}} \\ \\ \green{\tt:{ \implies r = 5\%}}\\ \\ \blue{\bold{some \: related \: formula}} \\ \orange{\tt \circ A = p(1 + \frac{r}{100}) ^{t} } \\ \\ \orange{\tt \circ A = p + S.I} \\ \\ \orange{ \tt \circ C.I = A - p}$

Answer 2

Given:

• Principal,P = rs 450
• Time, T = 2 years
• Simple interest, S.I = rs 45

To find out

Find the rate %.

Formula used:

R = S.I × 100 / P × T

Solution:

We know that,

R=S.I × 100 / P × T

R= 45×100/450×2

R= 4500/900

R= 5 %

$\bold{Knowledge \: Enhancer }$

• C.I = Amount (A) - Principal (P)

• A = P × ( 1 + r/100)^n

• Discount = M.P - S.P

• C.P = S.P - Profit

• S.P = Profit + C.P