Maths - Percentages

2013-05-23 2:39 am
1. In a class, student either History or Geography, but not both. If the number of
students studying Geography is 50% more than those studying History, what is
the percentage of students studying History?

2. Peter sold two flats for $990,000 each. He lost 10% on one and gained 10% on
the other. After the two transactions, Peter

A. lost $20,000
B. gained $20,000
C. gainted $99,000
D had neither gain nor loss

回答 (3)

2013-05-23 3:26 am
✔ 最佳答案
1.
(Geography:History)
150%:100%
1.5:1
3:2
60%:40%

So the percentage of students studying History is 40%

2.
peter gained: 990000*10%
peter lost:990000*10%

So the answer is D
2013-05-27 3:54 am
編號1答題者第二條答案錯誤

2013-05-26 20:14:44 補充:
第二條答案之應該是A.
2013-05-23 8:47 am
Question 1
Let the number of student studying History be H and Geography be G
(G-H)/H = 50%
G-H=0.5H
G=1.5H

The total number of classmates = G+ H = 1.5H+H =2.5H
% of students studying History =H/2.5H =1/2.5 = 40%

Question 2
Let the price Peter bought in the two flats be x and y

According to the given information,
(990,000-x)/x = -10%=>990,000-x=-0.1x =>990,000=0.9x=>1,100,000
(990,000-y)/y = 10%=>990,000-y=0.1y=>990,000=1.1y=>y=900,000

The total cost Peter bought in the two flats are 1.1M+0.9M = 2,000,000
The total profit = 990,000*2-2,000,000 =-20,000

The answer should be "A"




參考: ME


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