Question : After working for 20 days, Shikha finds that only 20 percent of the work is done. She employs Tina who is 100 percent more efficient than Shikha. In how many days Tina alone can complete the whole work?
Option 1: 40 days
Option 2: 30 days
Option 3: 50 days
Option 4: 60 days
Correct Answer: 50 days
Solution :
Shikha worked for 20 days and completed 20% of the work
Let the efficiency of Shikha is 1 unit per day.
Shikha works 20 units in 20 days which is 20% of the work.
So, total work = 100 units
Since Tina is 100% more efficient than Shikha
So, the efficiency of Tina will be 2 units per day.
Time taken by Tine to finish the total work = $\frac{100}{2}$ = 50 days
Hence, the correct answer is 50 days.
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