Question

A 20% reduction in price causes increase in consumption by 4 kg for 200 . Find the original cost??

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Answer 1

Answer:

let price of x kg of sugar is Rs 100

so price of 1 kg sugar = 100/x ………………………..equation 1

now after price hike we able to buy only x-4 kg of sugar and price of x-4 kg of sugar is Rs 120

now price of 1 kg after price hike =120/x-4 ……………………….equation 2

equating 1 and 2

100/x=120/x-4 so 100x-400=120x so 120x-100x=400 so 20x=400 so x=20

it means after price hike we are able to buy only 20kg

before price hike we are able to buy 24 kg sugar

so initially we buy sugar at the rate of Rs 5 (120/24=5)

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