Question : Anil is 12.5% 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?
Option 1: $\frac{80}{7}$ days
Option 2: $\frac{70}{9}$ days
Option 3: $\frac{80}{9}$ days
Option 4: $\frac{70}{11}$ days
Correct Answer: $\frac{80}{9}$ days
Solution :
Time taken by Sachin to do the work = 10 days
Efficiency of Sachin = $\frac{1}{10}$
Efficiency of Anil = $\frac{112.5}{100}$ × efficiency of Sachin
= $\frac{112.5}{100}$ × $\frac{1}{10}$
= $\frac{112.5}{1000}$
= $\frac{9}{80}$
Time taken by Anil to do the work = $\frac{80}{9}$ days
Hence, the correct answer is $\frac{80}{9}$ days.
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