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Chinese YMCA Secondary School (Mathematics Paper 1)
16. Baguette sold 2 identical baguettes at the same price. One was sold at a
20% profit and another was sold at a
20% loss. Is there an overall profit or loss? Explain. (4 marks)
Let
b be the sell, of a baguetie

Chinese YMCA Secondary School (Mathematics Paper $1$ ) $\newline$ $16$ . Baguette sold $2$ identical baguettes at the same price. One was sold at a $20 \%$ profit and another was sold at a $20 \%$ loss. Is there an overall profit or loss? Explain. ( $4$ marks) $\newline$ Let $b$ be the sell, of a baguetie

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Experimental probability

Full solution

Q. Chinese YMCA Secondary School (Mathematics Paper

1

)

\newline

16

. Baguette sold

2

identical baguettes at the same price. One was sold at a

20 \%

profit and another was sold at a

20 \%

loss. Is there an overall profit or loss? Explain. (

4

marks)

\newline

Let

b

be the sell, of a baguetie

Calculate selling prices: Let the cost price of one baguette be $\$c$ . The selling price for the baguette sold at a $20$ % profit is $\$c + 0.20c = 1.20c$ . The selling price for the baguette sold at a $20$ % loss is $\$c - 0.20c = 0.80c$ .
Calculate total cost and selling price: The total cost price for both baguettes is $2c$ . The total selling price for both baguettes is $1.20c + 0.80c = 2c$ .
Consider percentage loss and gain: Since the total selling price equals the total cost price, there is neither a profit nor a loss. However, this is a common misconception because the percentage loss and gain are calculated on different bases.

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