Finding the angle between the hands of a clock at a given time
Question
P's salary is 20% lower than Q's salary which is 20% lower than R's salary. By how much percent is R's salary more than P's salary?
Options
48.75%
56.25%
60.50%
62.25%
Explanation
Use a backward-chaining baseline strategy starting with R's salary . Let R's salary = 100. Q's salary is 20\% lower than R's : 100 - 20 = 80. P's salary is 20\% lower than Q's: 80 - (20\% of 80) = 80 - 16 = 64.
Now, calculate by how much percent R exceeds P: Absolute difference = R - P = 100 - 64 = 36. Required percentage = Difference{P} × 100 = 36/64 × 100.
Simplify the fraction: 9/16 × 100 = 900/16 = 56.25\%.
Answer: (b).
Question details
Year
2024
Paper
CSAT
Question
Q26
Section
Logical & Analytical Reasoning
Sub-topic
Clocks
Type
Factual single
Difficulty
Easy
Source hint
Clock angle calculation
Same sub-topic — other years
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