A student reads 4/9 of a book on the first day and 9/10 of the remaining pages…
2021
A student reads 4/9 of a book on the first day and 9/10 of the remaining pages on the second day. If 60 pages are still unread, how many pages does the book contain?
Answer: B. 1080 — Key idea: Track the unread fraction of the whole book after each day. Step 1: After the first day, unread part = 1 − 4/9 = 5/9 of the book. Step 2: On the…
- A.
1020
- B.
1080
- C.
920
- D.
940
Attempted by 46 students.
Show answer & explanation
Correct answer: B
Key idea: Track the unread fraction of the whole book after each day.
Step 1: After the first day, unread part = 1 − 4/9 = 5/9 of the book.
Step 2: On the second day, the student reads 9/10 of the remaining part, so unread part of the remainder = 1/10.
Step 3: Unread fraction of the whole book = (5/9) × (1/10) = 5/90 = 1/18.
Step 4: Given 1/18 of the book = 60 pages, total pages = 60 × 18 = 1080.
Final Answer: 1080 pages.