price of the sugar is increased by 3% as a result there will be fall ins sugar consumption of 2.5%
Answers
complete Question :- Price of the sugar is increased by 3% as a result there will be fall in sugar consumption of 2.5% . The expenditure of the family on sugar will be decreased by ?
Solution :-
Let us assume that,
- Initial cost price of sugar = Rs.10/kg
- Initial consumption = 10kg .
we know that,
- Price * consumption = Expenditure .
so,
- Initial Expenditure = 10 * 10 = Rs.100 .
now,
→ New cost Price = 103% of initial price = (103 * 10)/100 = Rs.10.3
and,
→ New consumption = 97.5% of initial consumption = (97.5 * 10)/100 = 9.75 kg
then,
→ New Expenditure = New cost Price * New consumption = 10.3 * 9.75 = Rs.100.425
therefore,
→ Increased in Expenditure = New Expenditure - Initial Expenditure = 100.425 - 100 = Rs.0.425
hence,
→ % change in Expenditure = (0.425 * 100) / 100 = 0.425% (Ans.)
∴ New Expenditure is increased by 0.425% .
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