Question

Someone just please help me on my math

Answer 1

The rate of interest is 5%.

Step-by-step explanation:

Here's the required formula to find the rate of interest :

`{\star{\underline{\boxed{\tt{I = (PRT)/(100)}}}}}`

• 
  `\purple\star` I = Interest
• 
  `\purple\star` P = Principle
• 
  `\purple\star` R = Rate
• 
  `\purple\star` T = Time

Substituting all the given values in the formula to find the rate of interest :

`{\implies{\tt{I = (PRT)/(100)}}}`

`{\implies{\tt{I = (P * R * T)/(100)}}}`

`{\implies{\tt{500= (2500* R * 4)/(100)}}}`

`{\implies{\tt{500= (10000R)/(100)}}}`

`{\implies{\tt{R = 500 * (100)/(10000)}}}`

`{\implies{\tt{R = \cancel{500} * \frac{100}{\cancel{10000}}}}}`

`{\implies{\tt{R =5 * (100)/(100)}}}`

`{\implies{\tt{R =5 * \frac{1 \cancel{00}}{1\cancel{00}}}}}`

`{\implies{\tt{R =5 * 1}}}`

`{\implies{\tt{R =5 \%}}}`

`\star{\underline{\boxed{\tt{\red{Rate =5 \%}}}}}`

Hence, the rate of interest is 5%.

`\rule{300}{2.5}`

Answer 2

Explanation:

Plugin I = $ 500 , P = $2500 and t = 4 years in the mentioned formula and find the rate of interest 'r'

I = P*r*t

`500 = 2500 *(r)/(100)*4\\\\\\ (500*100)/(2500*4)=r\\\\\\`

r = 5%