NinetynineCAT 2025 Slot 2 QA Q3 Ratio, Mixtures & Averages
Question 3 of the Quantitative Ability (QA) section, CAT 2025 Slot 2, with CAT's official answer and a worked solution.
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
TITA: type in the answer. There are no options and no negative marking.
Answer: 49 Ratio, Mixtures & Averages TITA
Solution
- First 7 days total \(= 7 \times 60 = 420\); first 8 days total \(= 8 \times 63 = 504\), so day 8 \(= 84\).
- Day 9 \(= 84 - 11 = 73\), so days 1 to 9 total \(= 504 + 73 = 577\).
- Days 2 to 9 total \(= 8 \times 66 = 528\).
- Day 1 \(= 577 - 528 = 49\).