Question
Due to a 20% increase in book prices, Riya decided to
buy 25% less books. Find out the percentage change in her book expenses.Solution
Let the initial price of a book be Rs. 100p and initial quantity be 100q books. Initial expenditure = 100p Γ 100q = Rs. 10000pq New expenditure = (1.20 Γ 100p) Γ (0.75 Γ 100q) = Rs. 9000pq Required percent change = [(9000pq - 10000pq) Γ· 10000pq] Γ 100 = -10% decrease
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