Question

the price of sugar goes up by 20% by how much percent must a housewife reduce her consumption so that the expenditure does not increase

Answer 1

Let original price of sugar=Rs.100
Increased price=20/100×100+20=Rs.120
Difference=Rs.20
Required %age=20/120×100=16.6%

Answer 2

Answer: The required percentage would be 16.67%.

Step-by-step explanation:

Since we have given that

Price of sugar goes up by = 20%

We need to find the percent that a housewife reduce her consumption so that the expenditure does not increase.

Let R = 20%

So, percent that a housewife reduce her consumption so that the expenditure does not increase is given by

$\dfrac{R}{100+R}\times 100\\\\=\dfrac{20}{100+20}\times 100\\\\=\dfrac{20}{120}\times 100\\\\=\dfrac{2000}{120}\\\\=16.67\%$

Hence, the required percentage would be 16.67%.