WAEC 2015 Mathematics · Question 34

A trader bought an engine for 15,000.00outsideNigeria.Iftheexchangerateis15,000.00 outside Nigeria. If the exchange rate is 0.075 to N1.00, how much did the engine cost in Naira?

Options

  1. A.N250,000.00
  2. B.N200,000.00
  3. C.N150,000.00
  4. D.N100,000.00

Answer: B. N200,000.00

Explanation written with AI and checked against the answer key

Analyze the question: The exchange rate says 0.075isequaltoN1.00.Weneedtoconvert0.075 is equal to N1.00. We need to convert 15,000 into Naira. Concept: If $0.075 = N1, then to find how many Naira an amount of dollars is worth, divide the dollar amount by the dollar value of N1. **Solution:** Number of Naira = 15,000 ÷ 0.075 = 15,000 × (1000/75) = 15,000,000 ÷ 75 = 200,000 So the engine cost **N200,000.00**. **Check:** N200,000 × 0.075 = $15,000 ✓ Tip: Look at which currency is "per N1." Here the rate tells you how many dollars one Naira buys, so to go from dollars to Naira you divide by the rate. A quick sense check: since N1 is worth less than 1 dollar (only $0.075), the Naira amount must be much bigger than 15,000. That rules out C and D immediately, and a quick calculation then separates A from B.

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