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WAEC 2021 · Paper 2 · Q7

  1. (a)

    The marked price for an item with a profit of 15%15\% is ₦60,000.00. If the item was sold at a discount of 5%5\%, calculate, correct to one decimal place, the percentage profit made on the transaction.

  2. (b)

    Sarah has ₦15.00 and Bobo has ₦39.00. How much must Sarah give to Bobo so that Bobo shall have five times as much as Sarah?

Worked solution (try it first)

(a)

  1. The marked price includes a 15%15\% profit, so it is 115%115\% of the cost price.
  2. Cost price =60 0001.15≈= \frac{60\,000}{1.15} \approx ₦52,173.91.
  3. With a 5%5\% discount, the selling price is 0.95×60 000=0.95 \times 60\,000 = ₦57,000.00.
  4. Profit =57 000−52 173.91== 57\,000 - 52\,173.91 = ₦4,826.09.
  5. Percentage profit =4826.0952 173.91×100%= \frac{4826.09}{52\,173.91} \times 100\%
    =9.25%= 9.25\%.
  6. Correct to one decimal place: 9.3%9.3\%.

(b)

  1. Let Sarah give Bobo ₦xx.
  2. Sarah then has 15−x15 - x and Bobo has 39+x39 + x.
  3. Bobo has five times as much as Sarah: 39+x=5(15−x)39 + x = 5(15 - x).
  4. So 39+x=75−5x39 + x = 75 - 5x, 6x=366x = 36 and x=6x = 6.
  5. Sarah must give Bobo ₦6.00.
  6. Check: Sarah has ₦9 and Bobo ₦45, and 45=5×945 = 5 \times 9 ✓.

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