Discussion

Explanation:

Assuming he can do 1 unit of work every day.

∴ Total work done in 80 days = 80 × 1 = 80 units.

Now, when his efficiency doubles every day.

Work done till day 1 = 1 unit.
Work done till day 2 = 1 + 2 = 3 units.
Work done till day 3 = 3 + 4 = 7 units.
Work done till day 4 = 7 + 8 = 15 units.
Work done till day 5 = 15 + 16 = 31 units.
Work done till day 6 = 31 + 32 = 63 units.
Work done till day 7 = 63 + 64 = 127 units.

Since only 80 units of work is to be complete, it would get completed on 7th day.

Hence, 7.

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