Question

The price per kilo of sugar decreases by 20%. by what % should be the consumption be increase such that the expenditure remains the same?

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 =

120

120−100

×100=

3

50

=16.66=approx. 17 %

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Answer 2

Answer:

25%

Step-by-step explanation:

Let Assume price of sugar = 100 x

After decrease = 80 x

Ratio of initial and Final price = 100x : 80x = 5x : 4x

Price * Consumption = Expenditure

Since expenditure is same we can write,

Ratio of initial and final Consumption = 4x : 5x

Consumption should be increased by

$\frac{diff. \: in \: consumption}{initial \: consumption} \times 100$

$= \frac{1}{4} \times 100 = 25\%$

Consumption is increased by 25 %

Note

Since Expenditure is same

$p1 \times c1 = p2 \times c2$

$\frac{c1}{c2} = \frac{80x}{100x} = \frac{4x}{5y}$