Question
Ramesh has 120 story books of two genres – fiction and
non-fiction. If he buys 24 more fiction books, the ratio of fiction to non-fiction books becomes 7:5. Find the number of fiction books Ramesh initially had.Solution
Let the number of fiction and non-fiction books after buying 24 more be '7x' and '5x' respectively.  ATQ: 7x + 5x = 120 + 24 12x = 144 x = 12 Number of fiction books after buying = 7x = 7 × 12 = 84 Number of fiction books initially = 84 – 24 = 60
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