Answer

Verified

339.3k+ 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.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Distinguish between the reserved forests and protected class 10 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give simple chemical tests to distinguish between the class 12 chemistry CBSE

Difference Between Plant Cell and Animal Cell

Which of the following books is not written by Harshavardhana class 6 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

In which states of India are mango showers common What class 9 social science CBSE

What Made Mr Keesing Allow Anne to Talk in Class class 10 english CBSE