Multiple choice

Lakshmi can do a piece of work in 10 days. Being 25% more efficient than lakshmi, what will be the time taken by Tanu to complete the work?

  1. 2.5 days

  2. 7 days

  3. 12.5 days

  4. 8 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

If Lakshmi takes 10 days, her efficiency is 1/10 work per day. Tanu is 25% more efficient, so her efficiency is 1.25 * (1/10) = 1.25/10 = 1/8. Thus, Tanu takes 8 days.

AI explanation

Tanu is 25 percent more efficient than Lakshmi, so the ratio of their efficiencies is 125 to 100, which simplifies to 5 to 4. Because time taken is inversely proportional to efficiency, the ratio of their times is 4 to 5. If Lakshmi takes 10 days, which represents 5 parts, then 1 part equals 2 days, meaning Tanu takes 4 parts, which is 8 days. Tanu will complete the work in 8 days.

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