M is 30% of Q, Q is 20% of P and N is 50% of P. What the value of M/N
2026
M is 30% of Q, Q is 20% of P and N is 50% of P. What the value of M/N
Answer: B. 3/25 — Concept: When two quantities are each given as a percentage "of" another quantity, chain the relations by substitution into a single common base variable.…
- A.
3/10
- B.
3/25
- C.
2/5
- D.
3/20
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Correct answer: B
Concept: When two quantities are each given as a percentage "of" another quantity, chain the relations by substitution into a single common base variable. Percentages compose by multiplication (x% of y% of P = (x/100 × y/100) × P), and once both quantities are expressed in terms of the same base, that base cancels out of any ratio between them.
Application: Let P be the common base.
Q is 20% of P, so Q = 0.2P.
M is 30% of Q, so M = 0.3 × Q = 0.3 × 0.2P = 0.06P.
N is 50% of P, so N = 0.5P.
Divide: M/N = 0.06P / 0.5P = 0.06/0.5 = 0.12.
Cross-check: Repeat using fractions instead of decimals — Q = P/5, so M = (3/10) × (P/5) = 3P/50, and N = P/2. Then M/N = (3P/50) ÷ (P/2) = (3/50) × 2 = 6/50 = 3/25, which reduces to 0.12, matching the decimal method.
Answer: 3/25