Question
If 75% of (P - Q) equals 25% of 60% of (P + Q), what is
the ratio of Q to P?Solution
ATQ,
75% of (P - Q) = 25% of 60% of (P + Q) Or, 0.75 × (P - Q) = 0.25 × 0.60 × (P + Q) Or, (75/100)(P - Q) = (25/100)(60/100)(P + Q) Multiply both sides by 100 to simplify: 75(P - Q) = 15(P + Q) Now expand both sides: 75P - 75Q = 15P + 15Q Bring like terms together: 75P - 15P = 75Q + 15Q 60P = 90Q Now divide both sides by 30: 2P = 3Q So, Q/P = 2/3 Hence, Q : P = 2 : 3
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