Ram reads 1/5th of a book. If 60 pages are still left to read, then how many pages are there in the book ?

Question

Accepted Answer

To determine the total number of pages in the book, we need to analyze the information given in the question. Ram has read 1/5th of the book, and there are 60 pages left to read. This means that the remaining 4/5th of the book consists of 60 pages.

Let's denote the total number of pages in the book as $ x $.

1. Since Ram has read 1/5th of the book, the remaining pages represent 4/5th of the book. Therefore, we can set up the equation:
   $$
   \frac{4}{5}x = 60
   $$

2. To find the total number of pages $ x $, we solve the equation:
   $$
   x = \frac{60 \times 5}{4} = 75
   $$

Thus, the total number of pages in the book is 75, which corresponds to Option 1.

Now, let's explain why each of the other options is incorrect:

- **Option 2 (90 pages):** If the book had 90 pages, then 4/5th of the book would be:
  $$
  \frac{4}{5} \times 90 = 72
  $$
  This contradicts the information given in the question, as there are only 60 pages left to read.

- **Option 3 (105 pages):** If the book had 105 pages, then 4/5th of the book would be:
  $$
  \frac{4}{5} \times 105 = 84
  $$
  Again, this does not match the 60 pages that are left to read.

- **Option 4 (120 pages):** If the book had 120 pages, then 4/5th of the book would be:
  $$
  \frac{4}{5} \times 120 = 96
  $$
  This is also incorrect, as it exceeds the 60 pages that remain.

Therefore, based on the calculations and logical reasoning, Option 1 (75 pages) is the correct answer.