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Unilorin Post-UTME Mathematics 2018 (Model questions) Question 38

Question 38

Commercial Arithmetic

The shares by Sola and Audu in a joint business are in ratio 5:8 respectively. Later Audu sold ¼ of his shares to Sola which amounted to ₦3,000. What is the worth of the business?

  1. A.₦39,000
  2. B.₦19,500
  3. C.₦15,000
  4. D.₦4,500
Show the answer and explanation

Answer: B (₦19,500)

Explanation

Audu owns 8/13 of the business; a quarter of that is 2/13, which is ₦3,000, so the business is worth 13/2 × 3,000 = ₦19,500.