Question

the price of sugar is increased by 25% find how much percent is consumption will reduce so as not to increase the expenditure please ans step by step​

Answer 1

Answer:

hope the answer helps u

Step-by-step explanation:

See the expenditure depends upon two things

Price

Consumption

Expenditure(E)= Price(p) x Consumption(c)

Now, if you increase the price of sugar by 25%, then the price becomes 125% of itself

So, if the price becomes (125/100)p

And also, the expenditure becomes E=(125p/100) x c

In order to keep the expenditure same the consumption must go down accordingly

Hence, E= (125/100)p x (100/125)c in order for the expenditure to be the same.

Now the consumption becomes 100/125 times of the original which is 80%. Thus the consumption must go down by 20% in order for the expense to remain the same

Answer 2

Let price of 1 kg sugar = ₹100
After 25% increase in price we get
1kg sugar in ₹125
So we get in 100 ₹ sugar = 100/125x 1= 4/5 kg
Decrease in weight of sugar 1-4/5 = 1/5
% decrease = 1/5x100 = 20%

Short cut ( smart method)
Price inc = 1/4 sugar reduced =1/1+4 =1/5= 20%