Question

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

Answer 1

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.

Answer 2

Answer:

16.6%

Step-by-step explanation:

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

0.833 kg = 834 g

so, consumption decreased= 1000-834=166

so, % of consumption decreased= 166×100/1000

= 16.6% answer.