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WAEC 2018 · Paper 2 · Q7

  1. (a)

    A shop had two reduction sales during which prices of all items were reduced by 40%40\% in the first sale and 30%30\% in the second. If a shirt was sold at GH₵ 35.00 during the second reduction sale, find the price before the first sale.

  2. (b)

    If the price of an article before the first reduction was GH₵ 180.00, find the total: (i) reduction in the price due to the two sales; (ii) percentage reduction in the price of the article.

    Separate values with commas, e.g. 3, −2

Worked solution (try it first)

(a)

  1. A 40%40\% reduction multiplies the price by 0.6, and a 30%30\% reduction by 0.7.
  2. Together: 0.6×0.7=0.420.6 \times 0.7 = 0.42.
  3. So 0.42×original=350.42 \times \text{original} = 35 and the original price was 350.42≈\frac{35}{0.42} \approx GH₵ 83.33.

(b)(i)

  1. From GH₵ 180: after the first sale, 0.6×180=1080.6 \times 180 = 108.
  2. After the second, 0.7×108=75.600.7 \times 108 = 75.60.
  3. Total reduction =180−75.60== 180 - 75.60 = GH₵ 104.40.

(ii)

  1. 104.40180×100%=58%\frac{104.40}{180} \times 100\% = 58\%.

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