Question

The price of sugar goes up by 30%.By how much
percent must a housewife reduce her
consumption,so that the expenditure does not
increase ?
​

Answer 1

Answer:

Here goes the solution!

Let the original price of the sugar be Rs.100.

The price of the sugar is increased by 30%.

Increased price of the sugar = 100 + 30/100 × 100 = 100 + 30 = Rs. 130.

Increase in price = 130 - 100 = Rs 30

Sugar of cost Rs. 30 is to decreased out of the increased cost of Rs. 130.

Percentage decrease = 30/130 × 100 = 300/13 = 23%

Hence, the consumption of 23% of sugar should be decreased so that the expenditure on sugar remains the same.

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%.