Question

Tickets cost Rs. Consumption increased by 20 per cent. If it decreases by 10, what is the percentage increase or decrease in income?
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Answer 1

Answer:

Let us consider before the price decrease

Price = 100rs

Consumption = 2 kg

Expenditure = 2*100=200

After the price decrease by 20% and increase in Expenditure by 10%

Price = 100*(100–20)/100= 80rs

Consumption = x

Expenditure = 200*110/100 = 220rs

Consumption = 220/80 = 2.75 kg

Percentage Increase of Consumption = (2.75–2)/2 * 100 = 37.5%

So there must be a 37.5% increase in consumption if we want the expenditure to go up by 10% and if the prices go down by 20%

So i think i have answered your question

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Answer 2

Answer:

Let us consider before the price decrease

Price = 100rs

Consumption = 2 kg

Expenditure = 2*100=200

After the price decrease by 20% and increase in Expenditure by 10%

Price = 100*(100–20)/100= 80rs

Consumption = x

Expenditure = 200*110/100 = 220rs

Consumption = 220/80 = 2.75 kg

Percentage Increase of Consumption = (2.75–2)/2 * 100 = 37.5%

So there must be a 37.5% increase in consumption if we want the expenditure to go up by 10% and if the prices go down by 20%

So i think i have answered your question

P x C = E

Effect of 20% decrease in price and 10% increase in consumption :

0.80 x C1 = 1.1

C1 = 1.1/0.8 = 1.375

Therefore, increase in consumption is 37.5%

More detailed discussion can be found in this post :

Net change due to change in individual variables

:-)

Consumption = 10 kg

Price = 100 rs /kg

Expenditure = 10*100 =1000 rs.

Now price is decreased by 20% and exp is increased by 10%

Consumption = let be x

Price = 80 rs

Expenditure = x*80 = 1100 ie.,

X(consumption) =1100/80 = 13.75

Hence, consumption was 10 and now 13.75

Therefore total increase in consumption is 3.75/10*100 = 3.75% (3/8)