Question

The price of sugar has risen by 5% in the new budget. By how much per cent must a family reduce its consumption of sugar so that the expenditure on it remains u
unchanged?

ÀNS:-suppose the man consum x kg of sugar with price increased by 5%.


New price of x kg of sugar. (y+5/100y).=100y+5y/100=105/100y.

21/20y.

₹1 man can buy =20/21×x kg of sugar.
₹ y man can buy .

20x/21y ×y=20x/21


Reduction in consumption.


x/1-20/21x kg.

21x-20x/21 =x/21.

In hundred kg .x/21×1/x×100.

100/21 =4 16/21

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Answer 1

Answer:

Let the original price of the sugar be Rs100

And the consumption be 1kg

Then total expenditure will be Rs100×1=Rs100

Now, when price is increased by 20  %, then new price is Rs120

Then new expense will be Rs120×1=Rs120

For expense to be same to Rs100,

% decrease in sugar consumption =120120−100×100=350=16.66=approx. 17 %