問 1
1 点A factory produces $$ 800 $$ toys per day. If $$ 5\% $$ of the toys are defective, how many non-defective toys are produced?
Junior Secondary · Mathematics
Use of Percentage：練習問題
その場で採点される選択問題 5 問と、解説つきの記述問題 5 問。すべて「Use of Percentage」からの出題です。
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問 2
1 点A company produces goods where production cost consists of raw materials, labor, and overhead in the ratio \(5 : 3 : 2\). In the following year, the cost of raw materials increases by \(12\%\), labor cost increases by \(20\%\), and overhead cost decreases by \(10\%\). Find the overall percentage increase in the total production cost.
問 3
1 点In a certain school, the number of boys is \(25\%\) more than the number of girls. During a summer transfer, the number of boys increases by \(8\%\) and the number of girls increases by \(20\%\). Find the overall percentage increase in the total number of students in the school, correct to one decimal place.
問 4
1 点In a class of $$40$$ students, $$18$$ students chose to study French. What percentage of the students chose to study French?
問 5
1 点A factory produced $$1500$$ items in a month. If $$6\%$$ of the items produced were found to be defective, and $$80\%$$ of the non-defective items were packaged for sale, how many items were packaged?
問 6
2 点A school has $$400$$ students. If $$60\%$$ of the students are girls, how many girls are in the school?
まず自分で答えを書いてから、解説と照らし合わせましょう。
問 7
3 点A camera is sold for \(\$720\) after a discount of 10%. What was the original price of the camera before the sale?
まず自分で答えを書いてから、解説と照らし合わせましょう。
問 8
5 点A shop sells mixed coffee beans consisting of two types, X and Y, in the ratio \(2:3\) by weight. The cost price of type X is \(20\%\) more than that of type Y. If the shop sells the mixed beans at a price that yields a profit of \(25\%\) on the selling price, find the percentage by which the selling price is higher than the cost price of type Y beans.
まず自分で答えを書いてから、解説と照らし合わせましょう。
問 9
2 点In a recent survey, $$35\%$$ of the respondents preferred online shopping. If $$70$$ people preferred online shopping, what was the total number of respondents in the survey?
まず自分で答えを書いてから、解説と照らし合わせましょう。
問 10
8 点Alpha Electronics purchased a batch of smartphones. The retailer operates under the following pricing and taxation structure:
(a) Alpha Electronics initially marked up the Cost Price (CP) of each smartphone by 40% to set the Marked Price (MP). Determine the Marked Price as a percentage of the Cost Price. (1 mark)
(b) During a promotional sale, Alpha Electronics offered a discount of 25% on the Marked Price. Calculate the Selling Price (SP) of the smartphone as a percentage of the original Cost Price. (2 marks)
(c) A Value Added Tax (VAT) equivalent to 10% of the Selling Price is charged to the customer, but this tax amount must be remitted by Alpha Electronics to the government. Calculate the actual revenue received by Alpha Electronics (Revenue = SP - VAT) as a percentage of the original Cost Price. Based on this revenue, state whether the retailer made a profit or a loss, and calculate the percentage profit or loss relative to the Cost Price. (3 marks)
(d) Due to rising operating costs, Alpha Electronics now requires an overall profit margin of exactly 21.6% on the Cost Price (after remitting the 10% VAT). If the initial markup of 40% on the Cost Price remains the same, what minimum discount percentage (rounded to one decimal place) should Alpha Electronics offer on the Marked Price to achieve this target profit? (2 marks)
まず自分で答えを書いてから、解説と照らし合わせましょう。
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