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MATHS PERCENTAGES
發問:
1)The price of petrol has increased by 11 %.A man has reduced his consumption by 20 %.Find the percentage increase or decrease in the man's expenditure.2)The marked price of an article is 30% higher than its cost.If the article is sold at a discount of 30% on the marked price,find the percentage... 顯示更多 1)The price of petrol has increased by 11 %.A man has reduced his consumption by 20 %.Find the percentage increase or decrease in the man's expenditure. 2)The marked price of an article is 30% higher than its cost.If the article is sold at a discount of 30% on the marked price,find the percentage gain or loss in selling this article.
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(1) Expenditure is proportional to Consumption * Price When the price is increased by 11% and consumption reduced by 20%, the new expenditure = Old Expenditure * (1 + 11%) * (1 – 20%) = Old Expenditure * 1.11 * 0.8 = Old Expenditure * 0.888 Percentage decreased in expenditure = (Old Expenditure – 0.888 Old Expenditure)/ Old Expenditure * 100% = 11.2% (2) Marked price = Cost * (1 + 30%) = 1.3 * Cost Selling price = Marked price * (1 – 30%) = 1.3 * Cost * 0.7 = 0.91 * Cost Percentage loss = (Cost – 0.91* Cost)/ Cost * 100% = 9%
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