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If $A = P + \frac{PRT}{100}$ , make T the subject of the formula.

When A=500, P=400 and T=10, find R.

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T = \frac{(A - P) R}{P}

and 1.2%

T = \frac{(A - P) \times 100}{PR}

and 2.5%

T = \frac{(A - P)}{100 PR}

and 3.3%

T = \frac{(AP) \times 100}{R}

and 4.2%

answer is B.

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Detailed Solution

Given,
Amount

A = 500,

Principal

P = 400

Number of years

T = 10,

Suppose Rate of interest per year= R
Thus, by the formula of Simple interest.

A = P + \frac{PRT}{100}

Subtract P from both sides,

\begin{matrix} \Rightarrow A - P = P - P + \frac{PRT}{100} \\ \Rightarrow A - P = \frac{PRT}{100} \end{matrix}

\Rightarrow (A - P) \times 100 = PRT

\Rightarrow T = \frac{(A - P) \times 100}{PR}

This is the given formula when T is the subject of formula.
Now,

A = P + \frac{PRT}{100}

500 = 400 + \frac{400 \times R \times 10}{100}

R = \frac{100}{40}

R = 2.5

Hence, the required rate

= 2.5 %

So, option 2 is correct.

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