The price of petrol goes up by 10 $%$ . By how much per cent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?

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Solution

Increase in price of petrol = 10 $%$ Let first price = Rs. 100 p.l. $∴$ Increased price = 100 + 10 = Rs. 110 Now reduction in comsuption = 110 - 100 = 10 Percentage reduced consumption = $\frac{10 \times 100}{100} = \frac{100}{11} = 9 \frac{1}{11} %$

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The price of petrol goes up by 10%. By how much per cent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?

Increase in price of petrol = 10% Let first price = Rs. 100 p.l. ∴ Increased price = 100 + 10 = Rs. 110 Now reduction in comsuption = 110 - 100 = 10 Percentage reduced consumption = 10×100100=10011=9111%

The price of petrol goes up by 10 $%$ . By how much per cent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?

Increase in price of petrol = 10 $%$ Let first price = Rs. 100 p.l. $∴$ Increased price = 100 + 10 = Rs. 110 Now reduction in comsuption = 110 - 100 = 10 Percentage reduced consumption = $\frac{10 \times 100}{100} = \frac{100}{11} = 9 \frac{1}{11} %$