SOLUTION: The price of the coffee has increased by 25%. What percentage of coffee consumption is to be decreased, so that there would be no increase in the expenditure for a household.

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Question 207419This question is from textbook New Syllabus Mathematics Book 4
: The price of the coffee has increased by 25%. What percentage of coffee consumption is to be decreased, so that there would be no increase in the expenditure for a household. This question is from textbook New Syllabus Mathematics Book 4

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p= the original price of coffee per pound
1.25p will be the new price of coffee per pound
Let c = consumption in pounds originally
Let a = the fraction of new consumption allowed
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The equation I want to be true is:
pc+=+1.25%2Ap%2Aa%2Ac
divide both sides by pc
1+=+1.25a
a+=+4%2F5
If 4/5 of the previous consumption is allowed, then
the past consumption must be reduced by 1%2F5 answer