百分比 - 例題解析



題1 - 32% 的分數是多少?

A - 6/30

B - 8/25

C - 7/50

D - 11:10

答案 - B

解釋

32% = 32/100 = 8/25.

題2 - 160% 的分數是多少?

A - 8/5

B - 9/5

C - 6/7

D - 6/23

答案 - A

解釋

160% = 160/100 = 8/5	

題3 - 0.8% 的小數是多少?

A - 0.008

B - 0.08

C - 0.8

D - 0.0008

答案 - A

解釋

0.8% = 0.8/100 = 0.008.

題4 - 18% 的小數是多少?

A - 0.0018

B - 0.18

C - 18

D - 0.018

答案 - B

解釋

18% = 18/100 = 0.18

題5 - 5% 的小數是多少?

A - 0.0005

B - 0.005

C - 0.05

D - 0.5

答案 - C

解釋

5% = 5/100 = 0.05

題6 - 126% 的小數是多少?

A - 1.26

B - 126

C - 12.6

D - 1260

答案 - A

解釋

126% = 126/100 = 1.26	

題7 - 0.06% 的小數是多少?

A - 0.6

B - 0.06

C - 0.006

D - 0.0006

答案 - D

解釋

0.06% = 0.06/100 = 0.0006.

題8 - 3/4 的百分比是多少?

A - 45

B - 55

C - 65

D - 75

答案 - D

解釋

3/4= (3/4*100)% = 75%

題9 - 280 的 45% + 450 的 28% =?

A - 352

B - 252

C - 452

D - 552

答案 - B

解釋

45% of 280+28% of 450 = (450/100*280)(28/100*450)
= (126+126) = 252

題10 - 50/3%、2/15、0.18、3/7 中哪個最大?

A - 0.18

B - 3/7

C - 2/15

D - 50/3%

答案 - B

解釋

162/3% = 50/(3*100) = 1/6 = 0.166, 2/15 =0.133, 3rd number = 0.18, 3/7 = 0.42.
Clearly, 3/7 is largest.

題11 - 一個數的 65% 比這個數的 4/5 少 21。求這個數。

A - 140

B - 130

C - 120

D - 110

答案 - A

解釋

Let the number be x. Then,
(4/5 x)-(65% of x)= 21 => 4x/5-65x/100=21 => 4x/5-13x/20=21
=> 16x-13x=420 =>3x=420 ?x=140.
Required number = 140.

題12 - 120 是 90 的百分之幾?

A - 400/3%

B - 400/6%

C - 200/3%

D - 200/6%

答案 - A

解釋

Required % = (120/90*100)%= 400/3%

題13 - 5 克是 1 千克的百分之幾?

A - 0.15%

B - 0.05%

C - 0.25%

D - 0.35%

答案 - B

解釋

Required % = (5/1000*100)%= 1/2%=0.05%

題14 - 120 毫升是 3.5 升的百分之幾?

A - 30/7%

B - 20/7%

C - 10/7%

D - 1/7%

答案 - A

解釋

Required % = (150/3500*100)%= 30/7%

題15 - 如果 A 的工資比 B 的工資高 20%,那麼 B 的工資比 A 的工資少百分之幾?

A - 50/3%

B - 60/3%

C - 70/3%

D - 80/3%

答案 - A

解釋

B's salary is less than that of A by is less than that of a by {R/((100+R) )*100}%
= {20/((120) )*100}% = 50/3%

題16 - 如果 A 的工資比 B 的工資少 25%,那麼 B 的工資比 A 的工資高百分之幾?

A - 10/3%

B - 100/3%

C - 20/3 %

D - 200/3 %

答案 - B

解釋

B's salary is more than that of A by {R/((100-R) )*100}%
= {25/((100-25) )*100}% = (25/75*100)=100/3%

題17 - 如果茶葉價格上漲 20%,為了不增加支出,茶葉的消費量必須減少百分之幾?

A - 50/3%

B - 100/3%

C - 20/3%

D - 200/3%

答案 - A

解釋

Reduction % in consumption = {R/((100+R) )*100}%(20/120*100)%
= 50/3%

題18 - 如果糖的價格下降 10%,為了不減少在糖上的支出,一個家庭應該增加其消費量百分之幾?

A - 100/9

B - 10/9

C - 100/3

D - 10/3

答案 - A

解釋

Increase % in consumption = {R/((100-R) )*100}% = {10/((100-10) )*100} = 100/9%

題19 - 一種商品的稅收降低了 20%,其消費量增加了 15%。對收入的影響是多少?

A - 增加 8%

B - 減少 8%

C - 減少 10%

D - 增加 10%

答案 - B

解釋

Let originally revenue obtained by Rs. x.
New revenue = (Consumption * Tax)
= (115% of 80% of Rs. x) = Rs(115/100*80/100*x)=Rs.92x/100
= 92% of the original.
Hence, the revenue is decreased by 8%.

題20 - 一個城鎮的人口為 176400。它每年以 5% 的速度增長。兩年後的人口是多少?

A - 194481

B - 294481

C - 394481

D - 494481

答案 - A

解釋

Population after 2 years =  {176400 * (1+5/100)2 }
176400* 21/20*21/20=194481.
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