The average number of copies of a book sold per day by a shopkeeper is 60 in the initial seven days and 63 in the initial eight days, after the book launch. On the ninth day, she sells 11 copies less than the eighth day, and the average number of copies sold per day from second day to ninth day becomes 66. The number of copies sold on the first day of the book launch is

Entered answer:

✅ Correct Answer: 49

Average of first 7 days = 60, so total copies in 7 days:

$= 60 \times 7 = 420$

Average of first 8 days = 63, so total copies in 8 days:

$= 63 \times 8 = 504$

Copies sold on Day 8:

$d_8 = 504 - 420 = 84$

Copies sold on Day 9:

$d_9 = 84 - 11 = 73$

Average from Day 2 to Day 9 = 66, so total copies from Day 2 to Day 9:

$= 66 \times 8 = 528$

Total copies from Day 2 to Day 8:

$= 528 - 73 = 455$

From the first 8 days total:

$d_1 + (d_2 + d_3 + d_4 + d_5 + d_6 + d_7 + d_8) = 504$

$d_1 + 455 = 504$

$d_1 = 504 - 455$

$d_1 = 49$

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