Question

The price of sugar has risen by 25%. By what percent must a

household reduce its consumption to keep its expenditure the same​

Answer 1

Answer:

Let amount of the sugar = 100kg Let the price of sugar be = 100

Therefore, increased price = ₹100 + 25 = 125

So, now 125 can fetch 100 kg.

Therefore,

Sugar which can be bought in ₹100 = 100/125*100 = 80 [100-80]%

= 20%

Answer:- The householder must decrease his consumption by 20%.

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Answer 2

Answer:

20%

price increase 25%

initial Rs. 100

final Rs. 125

consumption

initial 125

final 100 (because same expenditure )

change in consumption 125-100=25

percentage in reduction =

$\frac{25}{125} \times 100 = 20$

20%