Question
Download Solution PDFThe cost of Compressed Natural Gas (CNG) per litre is increased by 65%. By what percentage must Manish reduce his consumption of CNG so as not to increase his expenditure? (correct up to two decimal places)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The cost of Compressed Natural Gas (CNG) per litre is increased by 65%.
Formula used:
Let the original cost per litre be ₹C and the new cost per litre be ₹(C + 0.65C) = ₹1.65C.
Let the original consumption be Q litres and the new consumption be Q' litres.
To keep the expenditure constant: C \times Q = 1.65C \(\times Q'\)
Solving for Q':
Q' = \(\dfrac{Q}{1.65}\)
Percentage reduction in consumption = \left(1 - \dfrac{Q'}{Q}\right) \times 100 %
Calculation:
Q' = \(\dfrac{Q}{1.65}\)
⇒ \(\dfrac{1}{1.65} = 0.6061\)
Percentage reduction = \(\left(1 - 0.6061\right) \times 100 %\)
⇒ = 0.3939 × 100%
⇒ = 39.39%
∴ The correct answer is option (3).
Last updated on Jun 17, 2025
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