Answer
384k+ views
Hint:Here $P$ is on the Right Hand Side, i.e., RHS. Solving for $P$ here means rearranging the given equation such that $P$ is written in terms of all other variables in the equation. For this, $P$ is to be shifted to LHS and other variables to RHS such that $P$ becomes the dependent variable, the value of which depends on the other independent variables, i.e. $A$, $r$ and $t$.
Complete step by step solution:
Given equation is $A = P(1 + rt)$
Since P is on the RHS, we first interchange the terms of LHS and RHS. We get,
$P(1 + rt) = A$
Now, we divide both sides by $(1 + rt)$. Here we have to realise that the expression $(1 + rt)$ is a non-zero number, since dividing a number by zero gives an undefined result.
For case $(1 + rt) = 0$, $rt$ must be equal to $ - 1$. For our discussion here we assume that $rt$ cannot be equal to $ - 1$.
Since, $(1 + rt)$ cannot be equal to zero, we divide both sides by $(1 + rt)$.
$
\Rightarrow \dfrac{{P(1 + rt)}}{{(1 + rt)}} = \dfrac{A}{{(1 + rt)}} \\
\Rightarrow P = \dfrac{A}{{(1 + rt)}} \\
$
From this equation, we get $P$ in terms of the variables $A$, $r$ and $t$. Knowing the value of $A$, $r$ and $t$ we can solve the above equation to get the value of $P$.
Additional Information: The given equation is the formula of calculating amount $A$ to be repaid for principal $P$ with simple interest calculated at rate $(r \times 100)$ per annum after time $t$ years.
Note: If $rt = - 1$, $P$ becomes undefined as $A$ divided by $0$is undefined for any value of $A$. Therefore assumption of $rt \ne - 1$is to be held true to solve for $P$. Writing $P$ in terms of other variables means $P$ is the dependent variable which is dependent on $A$, $r$ and $t$ which are known as the independent variables.
Complete step by step solution:
Given equation is $A = P(1 + rt)$
Since P is on the RHS, we first interchange the terms of LHS and RHS. We get,
$P(1 + rt) = A$
Now, we divide both sides by $(1 + rt)$. Here we have to realise that the expression $(1 + rt)$ is a non-zero number, since dividing a number by zero gives an undefined result.
For case $(1 + rt) = 0$, $rt$ must be equal to $ - 1$. For our discussion here we assume that $rt$ cannot be equal to $ - 1$.
Since, $(1 + rt)$ cannot be equal to zero, we divide both sides by $(1 + rt)$.
$
\Rightarrow \dfrac{{P(1 + rt)}}{{(1 + rt)}} = \dfrac{A}{{(1 + rt)}} \\
\Rightarrow P = \dfrac{A}{{(1 + rt)}} \\
$
From this equation, we get $P$ in terms of the variables $A$, $r$ and $t$. Knowing the value of $A$, $r$ and $t$ we can solve the above equation to get the value of $P$.
Additional Information: The given equation is the formula of calculating amount $A$ to be repaid for principal $P$ with simple interest calculated at rate $(r \times 100)$ per annum after time $t$ years.
Note: If $rt = - 1$, $P$ becomes undefined as $A$ divided by $0$is undefined for any value of $A$. Therefore assumption of $rt \ne - 1$is to be held true to solve for $P$. Writing $P$ in terms of other variables means $P$ is the dependent variable which is dependent on $A$, $r$ and $t$ which are known as the independent variables.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)