Question : Sachin is 12.5 percent less efficient than Rohit. If Sachin alone can finish a work in 24 days, then in how many days will Rohit alone finish the same work?
Option 1: 16 days
Option 2: 21 days
Option 3: 18 days
Option 4: 20 days
Correct Answer: 21 days
Solution :
Given: Sachin is 12.5 percent less efficient than Rohit.
The ratio of efficiency of Sachin and Rohit = (100 – 12.5) : 100 = 87.5 : 100 = 875 : 1000 = 7 : 8
The ratio of time taken by Sachin and Rohit = 8 : 7
Let the time taken by Sachin and Rohit alone be 8k and 7k respectively,
8k = 24
So, k = 3
Time taken by Rohit alone = 7k = 7 × 3 = 21 days.
Hence, the correct answer is 21 days.
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