Anil is 12.5 percent more efficient than Sachin. If Sachin alone can finish a work in 10 days, then in how many days will Anil alone finish the same work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. (80/9) days.
Sachin can finish the work in = 10 days
Sachin’s efficiency = 1/10
Anil is 12.5% more efficient than Sachin, so:
Anil’s efficiency = Sachin’s efficiency + 12.5% of Sachin’s efficiency
⇒ 1/10 + 12.5/100 × 1/10
⇒ 1/10 + 0.125/10 = 1.125/10 = 9/80
Time taken by Anil = 1/Anil’s efficiency
⇒ 1/(9/80) = 80/9 days