Question

The price of sugar is increased by 25% due to which a family buys 1
kg less sugar for Rs. 160 so as to not increase his total expenditure.
Find the original price of sugar.​

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)