the price of sugar increase by 32 a family reduces its..., Percentage, General Mathematics

Question:The price of sugar increase by `32%`. A family reduces its consumption so that the expenditure of the sugar is up by `10%` only. If the total consumption of sugar before rise was `10` kg per month, then the consumption of sugar per month at present (in kg) is :

A `8 1/3` 
B `8 1/2` 
C `8 3/4` 
D `9`

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+ AnswerA

+ ExplanationLet original rate 

`= Rs. x∕kg.`

Consumption `= 10 kg.`

Expenditure`= Rs. 10x.`

New expenditure

`= 110% of Rs. 10x = 11x.`

New rate`= 132% of x = (33x)/25.`

New consumption `= (Expenditure/Rate)`

`= (11x xx 25/(33x)`

`= (25)/(3) kg.`

`= 8 1/3 kg.`

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