Question

If mr. Banerjee wanted to limit the increase in his expenditure to 5% on his basic expenditure on petrol then what should be the corresponding decrease in consumption so that expenditure exceeds only by 5%?

Answer 1

25 % Decrease in consumption if petrol price increased by 40% but expenditure increased by 5% only

Step-by-step explanation:

Missing information :

The price of petrol has increased by 40%

Let say Petrol Price =   P  

Consumption = C

Total Expenditure = CP

price of petrol has increased by 40%

=> New Price = P + (40/100)P = 1.4P

New Expenditure exceeds only by 5 %

=> New Expenditure = CP + (5/100)CP

= 1.05CP

New Consumption = 1.05CP/1.4P

= 0.75P

Decrease in consumption = P - 0.75P = 0.25P

% Decrease in Consumption = 100 * 0.25P/P  = 25 %

25 % decrease in consumtion required

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Answer 2

The consumption get reduced by 4.76%.

Step-by-step explanation:

Since we have given that

Rate of increase in his expenditure  = 5%

We need to find the Percentage of consumption reduced by so that expenditure does not get affected.

Here, r = 5%

So, percentage of consumption would be

$\dfrac{r}{100+r}\times 100\\\\=\dfrac{5}{100.5}\times 100\\\\=\dfrac{5}{105}\times 100\\\\=\dfrac{500}{105}\\\\=4.76\%$

Hence, the consumption get reduced by 4.76%.

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Topic : Percentage