If 45% of P = \(\frac{3}{4}\) of Q, then P : Q is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 5 : 3
The ratio P : Q is the value of P ÷ Q, found from the given equation with 45% written as a fraction.
The given equation with 45% as a fraction: \(\displaystyle\frac{45}{100}P=\frac{3}{4}Q\)
The ratio of P to Q: \(\displaystyle\frac{P}{Q}=\frac{3}{4}\times\frac{100}{45}=\frac{300}{180}=\frac{5}{3}\)