Math, asked by salonissharma123, 11 days ago

3. The price of sugar is increased by 40%. By how much kg of consumption is decreased so as expenditure will increased by 10% only when he originally consumed 210 kg sugar.​

Answers

Answered by 20caehsdipanwitaghos
0

Answer:

Shortcut Trick

If the price of commodities increased by r%, then the reduction in consumption, so as not to increase the expenditure = {r/(r + 100)} × 100%

Here, r = 40%

So, the reduction% in commodity = {40/(100 + 40)} × 100%

⇒ (40/140) × 100% = (2/7) × 100% = 28.57%

∴ The approximate percentage decrease in the consumption of sugar should be 29%

Traditional method:

Given:

The price of sugar increased by 40%

Calculation:

Let the initial consumption of sugar be x kg

Let the initial price be y Rs./kg

So, the total expenditure = Rs.xy

When the price increases by 40%, the new price = [(100 + 40)/100] × y = 1.4y Rs./kg

To keep the total expenditure of Rs.xy, the amount of sugar that can be purchased will be obtained as:

xy/1.4y = (1/1.4)x = x/1.4

So, the percentage decrease in sugar consumption = {[x - (x/1.4)]/x} × 100 = 28.57%

∴ The approximate percentage decrease in the consumption of sugar should be 29%

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Answered by gangwars830
0

Answer:

If the price of commodities increased by r%, then the reduction in consumption, so as not to increase the expenditure = {r/(r + 100)} × 100%

Here, r = 40%

So, the reduction% in commodity = {40/(100 + 40)} × 100%

⇒ (40/140) × 100% = (2/7) × 100% = 28.57%

∴ The approximate percentage decrease in the consumption of sugar should be 29%

Traditional method:

Given:

The price of sugar increased by 40%

Calculation:

Let the initial consumption of sugar be x kg

Let the initial price be y Rs./kg

So, the total expenditure = Rs.xy

When the price increases by 40%, the new price = [(100 + 40)/100] × y = 1.4y Rs./kg

To keep the total expenditure of Rs.xy, the amount of sugar that can be purchased will be obtained as:

xy/1.4y = (1/1.4)x = x/1.4

So, the percentage decrease in sugar consumption = {[x - (x/1.4)]/x} × 100 = 28.57%

∴ The approximate percentage decrease in the consumption of sugar should be 29

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