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MathNet 2025 — Part 02 (100 complete bilingual questions) Question 26

Math Olympiad Vault · MathNet 2025 — Part 02 (100 complete bilingual questions)

Question 26

The price of the old model of smartwatch A differs from the price of the old model of smartwatch B by $p\%$ ($0 \lt p \lt 100$). The new model of watch A is $q\%$ more expensive than the old model of watch A, and the new model of watch B is $q\%$ cheaper than the old model of watch B ($0 \lt q \lt 100$). The price of the new model of watch A differs from the price of the new model of watch B by $p\%$.

a. Is the new model of watch B more expensive, cheaper, or just as expensive as the old model of watch A?

b. Is the new model of watch A more expensive, cheaper, or just as expensive as the old model of watch B?