a reduction of 21 in the price what enables a person to..., Percentage, General Mathematics

Question:A reduction of `21%` in the price of what enables a person to buy `10.5kg`more for Rs.`100`. What is the reduced price per kg ?

A `Rs.2` 
B `Rs. 2.22` 
C `Rs. 2.30` 
D `Rs.2.50`

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+ AnswerA

+ ExplanationLet original price = Rs. x∕kg. Reduced price

`= (79/100 x)∕kg`

`(100)/(79x)/(100) - 100/x`

`= 10.5 => (10000)/(79x) - 100/x`

`= 10.5`

`10000 - 7900`

`= 10.5 xx 79x`

`or x = 2100/(10.5 xx 79)`

:. Reduced price`Rs. (79/100 xx 2100/(10.5 xx 79)∕kg`

`= Rs. 2 per kg.`

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