Price of petrol is reduced by 10%. Find by how much % the consumption of petrol is increased such that expenditure increases by 10%?
Explanation:
Let the original price = P and consumption = C
New price = P' and consumption = C'
Expenditure increases by 10%,
⇒ 1.1 × P × C = P' × C'
⇒ 1.1 × P × C = 0.9P × C'
⇒ C' = 1.1C/0.9 = 11/9 × C
∴ % change in consumption = (11/9 - 1) × 100% = 22.22%
Hence, consumption increases by 22.22%.
Hence, option (b).
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