The price of sugar is increased by 22 % . A person wants to increase his expenditure by 12% only. By what percent should he
decrease his consumption, nearest to one decimal place?
This questions was previously asked in
SSC CGL 11 June 2019 Shift-1
Explanation:
- The price of sugar has increased by 22%.
- The person wants to limit the increase in expenditure to only 12%.
- To find out the percent decrease in consumption, we use the formula: \[ \text{Required Decrease in Consumption} = \frac{\text{Increase in Price} - \text{Desired Increase in Expenditure}}{1 + \text{Increase in Price}} \]
- Plugging in the numbers: \[ \text{Percent Decrease} = \frac{0.22 - 0.12}{1.22} \]
- Simplifying: \[ \text{Percent Decrease} = \frac{0.10}{1.22} \approx 0.081967 \]
- Converting this into a percentage: \[ \approx 8.2\% \]
- ?? Correct option: 2, 8.2%
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