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The price of sugar has increased by 14%. By what percentage can a person decrease the consumption so that there is an increase in
the expenditure by 8% only? (correct to one decimal place)
5.9%
5.5%
5.3%
5.7%
- The price of sugar has gone up by 14%. This means people are spending 14% more on the same amount of sugar.
- To ensure that the increase in expenditure is only 8%, people need to reduce their consumption.
- Let's say initially a person used to spend $100 on sugar.
- With a 14% price increase, the new cost for the same quantity is $114.
- To allow only an 8% increase in expenditure, the person should spend $108 ($100 + 8% of $100).
- The proportionate reduction in consumption can be calculated by finding the decrease in quantity needed to bring the cost down from $114 to $108.
- This is a reduction of $6 ($114 - $108) from the new price.
- The reduction percentage equals ($6 / $114) * 100% = approximately 5.26%.
- Rounded to one decimal place, this is 5.3%.
Option 3: 5.3% is correct.
.
By: santosh ProfileResourcesReport error
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