Question:The price of sugar is increased by `20%`. As a result, a family decreases its consumption by `25%`. The expenditure of the family on sugar will be decreases by :
A `10%`
B `5%`
C `14%`
D `15%`
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+ Answer
A
+ ExplanationLet original consumption`= 100 units & original price`= Rs. 100/unit.
Original expenditure
`= Rs. (100 xx 100)`
`Rs. 10000.`
New expenditure
`= Rs. (120 xx 75)`
`= Rs. 9000.`
:. Decreases in expenditue
`= ((1000/10000 xx 100)%`
`= 10%`