Question

p=5200rupees
S.I =975rupees
T=5/2 years
find rate​

Answer 1

$\huge\mathfrak\green{AnSwEr:}$

7.5 % p.a.

$\red{\underline{\underline{\bf{Step-by-Step}}}}$ $\red{\underline{\underline{\bf{Explanation:}}}}$

Principal = Rs. 5200

S.I = 975 ruppees

Time =$\bf{ \frac{5}{2} \: years }$

Rate = $\bf{ \frac{SI \times 100}{P \times T} }$

= $\bf{ \frac{975 \times 100 \times 2}{5200 \times 5} }$

= $\bf{ \frac{195}{52} \times 2 }$

=$\bf{ 3.75 \times 2}$

= $\huge\bf{7.5 % p.a.}$

Hence, the rate percent is 7.5 % p.a. .

Answer 2

$\bf{\Huge{\underline{\boxed{\bf{\green{ANSWER\::}}}}}}$

$\bf{Given\begin{cases}\sf{Principal[P]=Rs.5200}\\ \sf{Simple\:Interest[S.I.]=Rs.975}\\ \sf{Time[T]=\frac{5}{2} years}\end{cases}}$

$\bf{\Large{\underline{\sf{\red{To\:find\::}}}}}$

The rate of Interest.

$\bf{\Large{\underline{\sf{\orange{Explanation\::}}}}}$

We know that formula of the Simple Interest:

→ $\bf{S.I.=\frac{P*R*T}{100} }$

Or

→ $\bf{R=\frac{S.I.*100}{P*T} }$

Putting the value given in above formula, we get;

→ $\bf{R=\frac{975*100}{5200*\frac{5}{2} } }$

→ $\bf{R=\frac{975*\cancel{200}}{5200*\cancel{5}} }$

→ $\bf{R=\frac{975*\cancel{40}}{\cancel{5200}} }$

→ $\bf{R=\cancel{\frac{975}{130} }}$

→ R = 7.5%

Thus,

The rate of interest is 7.5%.