Question

The price of tea is increased by 20%. By how much percent a housewife should reduce the consumption of tea so as not to increase the expenditure on tea?

Answer 1

Let the original price of the tea be Rs 100.
The price of the tea is increased by 20%.
Increased price of the tea = 100 + (20% of 100) = 100 + 20 = Rs 120.
Increase in price = 120 - 100 = Rs 20
Tea of cost Rs 20 is to decreased out of the increased cost of Rs 120.
Percentage decrease = (20/120) x 100 = 100/6 = 16 2/3 %.
hence , the consumption of 16 2/3% of tea is to be decreased so that the expenditure on tea remains the same.


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Answer 2

Answer: A housewife should reduce the consumption by 16.67%.

Step-by-step explanation:

Since we have given that

Price of tea is increase by = 20%

Let the original price of tea be Rs. 100.

Increased by

$\frac{20}{100}\times 100\\\\=Rs.20$

New price becomes

$100+20=Rs.120$

To a housewife needs to reduce the consumption to tea so as not to increase the expenditure on tea.

So, there is formula for this:

$\frac{R}{100+R}\times 100$

Here, R denotes the rate of change i.e. 20%.

$=\frac{20}{120}\times 100\\\\=\frac{1}{6}\times 100\\\\=16.67\%$

Hence, a housewife should reduce the consumption by 16.67%.