The price of milk increased by 15%. By what per cent must a family reduce the consumption of milk to keep
the expenditure same?
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Answered by
13
Answer:
13% (approx)
Step-by-step explanation:
Let A be the amount that the family spends on milk before the price increase.
After the price increase, if they consume the same amount of milk, their expenditure would increase accordingly by 15%. So their new expenditure would be:
A + 15% of A = A + 0.15A = ( 1 + 0.15 ) A = 1.15 A
To return the expenditure to what it used to be, we need to multiply this by 1/1.15 ≈ 0.87. That is, we need consumption to be 87% of what it used to be. Or in other words, they must reduce their consumption by 13%.
Answered by
16
Answer:
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