original price.
15. Price of sugar increases by 10%. Find how much percent a house wife must reduce
his consumption of sugar so as not to increase her monthly bill ?
Answers
Answer:
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Step-by-step explanation:
The price of the sugar is increased by 10%.
So the new price of sugar = PP+10100P=P+0.1P=1.1P+10100P=P+0.1P=1.1P
Let the new Consumption = C’
The expenditure (E’) after increase in the sugar price, and, decrease in the consumption = New Price * New Consumption=1.1P∗C′=1.1P∗C′.——————-(2)
Expenditure before and after price increase should be the same.
Thus E = E’ and so, Equation 1 = Equation 2.
P∗C=1.1P∗C′P∗C=1.1P∗C′
C=1.1C′C=1.1C′
C’(New Consumption) = C1.1C1.1 ( Note: From this equation it is evident that C’< C, and thus, with the increase in Price, the consumption has decreased to maintain the same Expenditure)
Percentage decrease in consumption = (C−C′)C∗100(C−C′)C∗100
Percentage decrease in consumption = (1.1C′−C′)1.1C′∗100(1.1C′−C′)1.1C′∗100
Percentage decrease in consumption = (0.1C′)1.1C′∗100(0.1C′)1.1C′∗100
Percentage decrease in consumption = 10011=9.0909.