有3題數想問一問..thx

2008-04-02 1:30 am
1)In a meeting of Maths club, 167 members agree to go hiking, which is more than 70% of the total number of members. What is the number of members of the club?

2)If the length of each side of a square is decrease by 15%, find the percentage decrease in its area.

3)If a shopkeeper sold a pair of shoes at a discount of 60% of the marked price, the loss is $50. Find the marked price and the cost price of the pair of shoes.

另外我想問...marked price & cost price 有咩分別?

回答 (2)

2008-04-02 5:18 am
1) Let x be the number of members
70%x (larger than) 167
x (smaller than) 238.57 (corr. to 2 d.p.)
Therefore The number of members have to be less then 238.

2) Let x be the length of the side
(85%x)^2
= 72.25% x^2
Therefore the needed percentage is (100%-72.25%) = 27.75%.

3)...???

Marked price: the price the shop sell it to the consumers.
Cost price: the price the shop buy it from the company.
Usually (mostly) the marked price is higher than the cost price...

Sorry can't show the signs of larger than and smaller than...
2008-04-02 5:12 am
1) let x be the number of the maths club ,

X ( 0.7 ) < 167

X < 238

2) let a be the length of the square ,

original area = a^2
new area = (0.85a)^2 = 0.7225a^2

percentage decreased = [a^2 - 0.7225a^2] / a^2 x100% = (1 - 0.7225 ) x100% = 27.75%

3) 資料不足 .. ?!

marked price 係指 標價
cost price 係指成本
參考: me


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