Question

7. A shop had two reduction sales during which prices of all items were reduced by 40% in the first sales and 30% in the second.
(a) If a shirt was sold at GH¢3,500 during the second reduction sales, find the price before the first sale.
(b) If the price of an article before the first reduction sales was GH¢180.00, find the total:
(i) Reduction in the price due to the sales;
(ii) Percentage reduction in the price of the article.

Accepted Answer

(a) Let the original price be x. Price after 1st reduction = 0.6x = GH¢50 (price before 2nd reduction). Solving 0.7 of this = 3500 (pesewas) gives the price before the second reduction as GH¢50, so before the first sale the shirt cost approximately GH¢83.33.
(b) Reduction due to first sales = 40% of 180 = GH¢72. Price after first sale = GH¢108. Reduction due to second sales = 30% of 108 = GH¢32.40. Total reduction = GH¢104.40. Percentage reduction of the article = (104.40/180)×100 ≈ 58%.

WAEC Mathematics 2018 Theory — Question 12

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