Question

80 points wala question

7. Due to an increase in the price of sugar by 25%, by how much per cent must a householder
decrease the consumption of sugar so that there is no increase in the expenditure on sugar?​

Answer 1

Answer :-

A householder decrease the 20% of the sugar, so that there is no increase in expenditure on sugar.

____________

Given:-

• The increased price of sugar = 25%

Find:-

Percentage of sugar decreased by householder so that there is no increase in expenditure on sugar.

Solution:-

Let the -

• price of sugar is Rs. 100 for 100 kg of sugar.

Given that the price of sugar is increased by 25%.

New price = Rs. 125

(25% × 100

So, new price = 100 + 25)

Now,

In Rs. 125; 100 kg of the sugar brought.

$\implies$ Rs. 125 = 100 kg

$\implies$ Rs. 1 = 100/125 = 0.8 kg

For Rs. 100

$\implies$ Rs. 100 = 0.8 × 100 = 80 kg

At first, it was 100 kg consumed (our assumption)

But now, it is 80 kg consumed.

So,

Change in consumption = (100 - 80)

$\implies$ 20 kg

Percentage of sugar consumed = 20/100 × 100

$\implies$ 20%

Answer 2

Answer :-

A householder decrease the 20% of the sugar, so that there is no increase in expenditure on sugar.

____________

Given:-

The increased price of sugar = 25%

Find:-

Percentage of sugar decreased by householder so that there is no increase in expenditure on sugar.

Solution:-

Let the -

price of sugar is Rs. 100 for 100 kg of sugar.

Given that the price of sugar is increased by 25%.

New price = Rs. 125

(25% × 100

So, new price = 100 + 25)

Now,

In Rs. 125; 100 kg of the sugar brought.

Rs. 125 = 100 kg

Rs. 1 = 100/125 = 0.8 kg

For Rs. 100

Rs. 100 = 0.8 × 100 = 80 kg

At first, it was 100 kg consumed (our assumption)

But now, it is 80 kg consumed.

So,

Change in consumption = (100 - 80)

20 kg

Percentage of sugar consumed = 20/100 × 100

20%