Question
Due to a 50% rise in fuel prices, Arjun decides to reduce
his usage by 40%. Find the net percentage change in his fuel expenses.Solution
ATQ,
Let initial fuel price be Rs. 100a and initial consumption be 100b litres
Initial expenditure = 100a Γ 100b = Rs. 10000ab
New expenditure = (1.50 Γ 100a) Γ (0.60 Γ 100b) = Rs. 9000ab
Required percent = [(9000ab - 10000ab) Γ· 10000ab] Γ 100 = -10% decrease
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