Question 1122371
p is the current price of sugar.
q is the current quantity of sugar.


the total cost is equal to p * q.


when the price of sugar is increased by 25%, the price becomes 1.25 * p.


to keep the total cost the same, you will need to divide the quantity by 1.25.


you will get total cost is equal to 1.25 * p * q / 1.25 which becomes total cost is equal to p * q.


q / 1.25 is equal to 1/1.25 * q which is equal to .8 * q.


.8 * q is equal to q - .2 * q.


therefore, if the price goes up 25%, the quantity needs to come down 20% so that the total cost remains the same.


for example:


assume the price is 100 and the quantity is 100.


the total cost if 100 * 100 = 10,000.


when the price goes up 25%, the price becomes 125.


when the quantity comes down 20%, the quantity becomes 80.


125 * 80 = 10,000.


the total cost remains the same.