A group of women in a society decided to execute interior and exterior decoration of the society in a week’s time. Since 11 women dropped out every day from the second day, the entire decoration was completed on 12th day. How many women participated at the beginning? (Answer to the nearest integer)
Explanation:
Let, the number of women who started the work is N,
∴ Total work to be done = N × 7 woman days.
Day 1: Number of women worked = N
Day 2: Number of women worked = N - 11
Day 3: Number of women worked = N - 22 and so on till
Day 12: Number of women worked = N – 11 × 11 = 121
∴ Total work done = N + (N – 11) + (N – 22) + … + (N – 121) = 12N - 726 woman days.
⇒ 12N – 726 = 7N
⇒ N = 726/5 = 145.2 = 145 (nearest integer)
Hence, option (c).
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