Question : Shreyas can complete $\frac{4}{5}$th part of a work in 16 days. Ruchi is 2.5 times as efficient as Shreyas. In how many days will Ruchi alone complete the same work?
Option 1: 9 days
Option 2: 12.5 days
Option 3: 10 days
Option 4: 8 days
Correct Answer: 8 days
Solution :
Given: Shreyas can complete $\frac{4}{5}$th part of a work in 16 days.
Ruchi is 2.5 times as efficient as Shreyas.
Shreyas can complete the work in $16 \times \frac{5}{4}$ = 20 days.
Ruchi can complete the same work in $\frac{20}{2.5}$ = 8 days.
Hence, the correct answer is 8 days.
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