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. If a shirt was sold at GH₵35.0...
Question 1 Report
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.
- If a shirt was sold at GH₵35.00 during the second reduction sales, find the price before the first sale.
- If the price of an article before the first reduction was GH₵180.00, find the total:
- reduction in the price due to the two sales;
- percentage reduction in the price of the article.
Answer Details
Price before the first sale. After a 40% cut the price is \(0.6\) of the original; after a further 30% cut it is \(0.7 \times 0.6 = 0.42\) of the original.
\[0.42 \times P = 35 \Rightarrow P = \frac{35}{0.42} = \text{GH}\unicode{x20B5}83.33\]Article costing GH\unicode{x20B5}180.00. Final price \(= 0.42 \times 180 = \text{GH}\unicode{x20B5}75.60\).
Total reduction \(= 180 - 75.60 = \text{GH}\unicode{x20B5}104.40\).
Percentage reduction \(= \dfrac{104.40}{180} \times 100\% = 58\%\).
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