Question:
Instructions: The following pie chart shows the hourly distribution in a day (in degrees) of all the major activities of a student. A day has 24 hours. The pie chart shows: Games 30°, Home work 45°, School 105°, Sleeping 120°, Others 60° (total 360°).
If he spends the time in games equal to the home work, and the other activities remain constant, what is the percentage decrease in the time spent sleeping?
Instructions: The following pie chart shows the hourly distribution in a day (in degrees) of all the major activities of a student. A day has 24 hours. The pie chart shows: Games 30°, Home work 45°, School 105°, Sleeping 120°, Others 60° (total 360°).
If he spends the time in games equal to the home work, and the other activities remain constant, what is the percentage decrease in the time spent sleeping?
If he spends the time in games equal to the home work, and the other activities remain constant, what is the percentage decrease in the time spent sleeping?
Show Hint
Games must gain 15° to match home work; since only sleeping is free to change, it must lose that 15°.
Updated On: Jul 15, 2026
- 15%
- 12.5%
- 20%
- None of these
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept.
Games currently takes up 30° and Home work takes up 45°. If games time is raised to equal home work time, games must increase by \(45-30=15\)°.
Step 2: Find where the extra time comes from.
Since every other activity (Home work, School, Others) stays the same, this extra 15° for games must come entirely out of the Sleeping slice.
Step 3: Find the percentage decrease in sleeping.
Sleeping originally is 120° and it must shrink by 15°: percentage decrease \(=\dfrac{15}{120}\times100=12.5\%\).
Step 4: Final Answer.
The time spent sleeping decreases by 12.5%, so option B is correct.
Games currently takes up 30° and Home work takes up 45°. If games time is raised to equal home work time, games must increase by \(45-30=15\)°.
Step 2: Find where the extra time comes from.
Since every other activity (Home work, School, Others) stays the same, this extra 15° for games must come entirely out of the Sleeping slice.
Step 3: Find the percentage decrease in sleeping.
Sleeping originally is 120° and it must shrink by 15°: percentage decrease \(=\dfrac{15}{120}\times100=12.5\%\).
Step 4: Final Answer.
The time spent sleeping decreases by 12.5%, so option B is correct.
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