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Two students, Ravi and Vikas had some books. One of them had 10 books more than the other. The books with Vikas were 60% of the total books with them. How many books did Vikas have?

Two students, Ravi and Vikas had some books. One of them had 10 books more than the other. The books with Vikas were 60% of the total books with them. How many books did Vikas have? Correct Answer 30

Formula:

If a = x% of b

⇒ a = x/100 × b

Solution:

∵ Vikas has 60% of total books which means Vikas has more books than Ravi

Let the books with Ravi and Vikas will be x and (x + 10)

Total books = x + x + 10 = 2x + 10.

Now,

x + 10 = (60/100) × (2x + 10)

⇒ 10x + 100 = 12x + 60

⇒ 2x = 40

⇒ x = 20

∴ Number of books with Vikas = x + 10 = 30

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