Question : If $2A=3B$, then what is the value of $\frac{A+B}{A}$?
Option 1: $\frac{5}{4}$
Option 2: $\frac{2}{3}$
Option 3: $\frac{5}{2}$
Option 4: $\frac{5}{3}$
Correct Answer: $\frac{5}{3}$
Solution :
Given: $2A=3B$
⇒ $\frac{A}{B}=\frac{3}{2}$
Let, $A=3k,B=2k$
$\frac{A+B}{A}=\frac{3k+2k}{3k}=\frac{5}{3}$
Hence, the correct answer is $\frac{5}{3}$.
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