In a library, the ratio of number of fictional books to that of non-fictional books was 4:3 and total number of fictional books was 2496. Find the total number of books in library?

Sure, here are the steps to solve the problem:

Step 1: Understand the problem The problem gives us the ratio of fictional to non-fictional books as 4:3. It also tells us that the total number of fictional books is 2496.

Step 2: Calculate the value of one part of the ratio Since the ratio of fictional to non-fictional books is 4:3 and we know that the total number of fictional books is 2496, we can calculate the value of one part of the ratio by dividing the total number of fictional books by the fictional part of the ratio.

So, 2496 (total fictional books) ÷ 4 (fictional part of the ratio) = 624.

Step 3: Calculate the total number of non-fictional books Now that we know the value of one part of the ratio, we can calculate the total number of non-fictional books by multiplying the non-fictional part of the ratio by the value of one part of the ratio.

So, 3 (non-fictional part of the ratio) × 624 (value of one part of the ratio) = 1872.

Step 4: Calculate the total number of books in the library Finally, we can calculate the total number of books in the library by adding the total number of fictional books and the total number of non-fictional books.

So, 2496 (total fictional books) + 1872 (total non-fictional books) = 4368.

Therefore, the total number of books in the library is 4368.