F.3 Maths About Percentages

2013-10-12 10:01 pm
1. Mr. Wong bought a book at $200. He then put it in his shop sale at a marked price of $300.

a) What was the profit percentage if the book was sold at the marked price?

b) Later Mr. Wong found that no one bought the book since it was too expensive. He therefore decided to offer a discount of 20%

i)What was the selling price under the discount?
ii) What was the profit percentage to Mr. Wong at this price?
iii) Ms. Chan bought the book at the price found in (i). Later, she sold it to Ms. Leung and lost $60. What was the percentage loss to Ms. Chan?


2. A merchant marks the goods in his shop at 40% above the cost, but he offers a discount of 20% of the marked price in a sale.

a) Find the profit percentage he actually makes on the goods sold during the sale.

b) Find the profit the merchant makes on a good which is sold in the sale of $56.

c) The merchant made a profit of $12 on an article during the sale. What is the cost of the article?


Thank you !

回答 (1)

2013-10-12 10:34 pm
✔ 最佳答案
1.
(a)
The profit percentage
= [(300 - 200) / 200] x 100%
= 50%

(b) (i)
The selling price
= $300 x (1 - 20%)
= $240

(b) (ii)
The profit percentage
= [(240 - 200) / 200] x 100%
= 20%

(c) (iii)
The percentage loss
= (60 / 300) x 100%
= 20%


2.
(a)
The profit percentage
= (1 + 40%) x (1 - 20%) - 100%
= 12%

(b)
The cost of the good
= $56 ÷ (1 + 12%)
= $50

The profit
= $(56 - 50)
= $6

(c)
The cost of the article
= $12 ÷ 12%
= $100
參考: fooks


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