Question

The price of sugar goes up by 30%.By what percent should a house wife reduce her consumption so that the expenditure does not increase?

Answer 1

23%1/3

Step-by-step explanation:

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%.

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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%.