Question

the price of sugar goes up by 30% by what percent should a housewife reduce her consumption so that the expenditure does not increase​

Answer 1

Answer:

Step-by-step explanation:

Answer: The required percentage would be 23.07%.

Step-by-step explanation:

Since we have given that

Price of sugar goes up by = 30%

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

Let R = 30%

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

R/(R + 100) * 100

30/130 * 100

300/13

Hence, the required percentage would be 23.07%.

Answer 2

Let price of 100kg sugar be=100rs

Price goes up by 30% , therefore new price= 130rs

In 130rs quantity of sugar can be purchased =100kg

In 100rs quantity of sugar can be purchased =100×100/130

=1000/13kg

Difference in consumption

=100/1-1000/13

=1300-1000/13

=300/13kg

% of reduction= 300/13/100×100

= 23×1/13%.