If 20% of (P + Q) = 50% of (P – Q), then find the ratio P : Q.
7 : 3
Step 1 – Set up equation:
\(0.20(P + Q) = 0.50(P - Q)\)
Step 2 – Expand:
\(0.2P + 0.2Q = 0.5P - 0.5Q\)
Step 3 – Rearrange:
\(0.2Q + 0.5Q = 0.5P - 0.2P \implies 0.7Q = 0.3P\)
Step 4 – Ratio:
\(\frac{P}{Q} = \frac{0.7}{0.3} = \frac{7}{3}\) → P : Q = 7 : 3
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