WBCS.LIVE practice question

The ratio of the collection of story books of Rabi and Madhu is 2 : 3 respectively. After purchasing of 6 new books by Madhu the ratio of their books would be 1 : 3. How many books did they have earlier?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 2, 4
  2. 4, 6
  3. 4, 8
  4. None of the above

Correct answer and explanation

Correct answer: 4, 6

Explanation: āœ… Correct Answer: B. 4, 6 šŸ“š Explanation: Let the initial books be 2x and 3x. After Madhu gets 6 more, the new ratio is 2x / (3x + 6) = 1 / 3. Solving this, 6x = 3x + 6, so 3x = 6 and x = 2. Earlier, Rabi had 2 * 2 = 4 books and Madhu had 3 * 2 = 6 books. This matches the initial ratio of 2 : 3 provided in the question.