The price of sugar is increased by 20

Asked by admin @ 25/08/2021 in Math viewed by 290 People

the price of sugar is increased by 20% by what percent must the consumption of sugar be decreased so that the expenditure on sugar may remain the same

Answered by admin @ 25/08/2021

Let the price of sugar be ₹100 per kg
so increased price = 100+20=₹120 per kg
let the use of sugar before the increasing of price be 1kg
so cost of sugar before increasing the price = 1×100= ₹100
let the use of sugar after increasing the price be x kg
so cost of sugar after increasing the price= x ×120 = ₹120x
According to the question,
₹120x = ₹100
x = ₹100/₹120 = 0.834 kg

0.833kg = 834 g
so, consumption decreased= 1000-834=166
so, % of consumption decreased= 166×100/1000
= 16.6% answer.

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