part (1)
name:
mr.hany azra
TEL.:
01121996861
01001510543
01273101024
*The percentage*
A
I) The percent (decrease , discount , depreciate , deduct ,
(1-
) × Original = new
Ex(1):
discount 15 %
??
.H
AN
YA
600
ZR
decay , less )
( 1 – 15 % ) × 600 = x
calc x = ------
Ex(2):
600
?? %
( 1 – x % ) × 600 = 510
510
calc
x = 15
Ex(3):
discount 15 %
MR
??
( 1 – 15 % ) × x = 510
510
calc x = 600
1
Decrease by 1 %
( 1 – 1 % ) calc 0. 99
Decrease by 2 %
( 1 – 2 % ) calc 0. 98
0. 97
Decrease by 4 %
0. 96
Decrease by 9 %
0. 91
0. 90
.H
AN
YA
Decrease by 10 %
ZR
Decrease by 3 %
A
Etc
Decrease by 15 %
0. 85
Decrease by 20 %
0. 80 = 0.8
* Exponential decay *
( 1 - % )time × original = new
Ex:
The value of the car is 200 000 and decrease by 10 % every year
What is the price of the car after 4 years?
MR
*Sol:
( 1 – 10 % )4 × 200 000 = -------- ( answer is 131 220 )
*Another solution:
( 0.9 )4 × 200, 000 = ------- ( answer is 131 220 )
2
*The graph of percent decrease:
ZR
A
original
.H
AN
YA
II) The percent ( increase , tax , more , greater , exceeds , tips )
( 1 + % ) × Original = new
Ex(1):
600
tax 15 %
( 1 + 15 % ) × 600 = x
??
calc x = 690
Ex(2):
MR
600
?? %
( 1 + x % ) × 600 = 690
690
calc
3
x = 15 %
Ex(3):
( 1 + 15 % ) × x = 690
690
calc x = 600
*Increase by 1%
( 1 + 1% )
*Increase by 2%
( 1 + 2% )
calc 1. 01
calc 1. 02
.H
AN
YA
Etc:
A
tax 15 %
ZR
??
*Increase by 3 %
1 . 03
*Increase by 4 %
1 . 04
*Increase by 9 %
1 . 09
*Increase by 10 %
1 . 10 = 1.1
*Increase by 15 %
1 . 15
*Increase by 20 %
1 . 20 = 1.2
* Exponential growth*
MR
(1 + % )time × original = new
4
Ex:
The value of gold ring is 2000 and increase by 10 % every year
A
what is the price after 3 years ?
sol:
calc ( answer is 2662 )
ZR
( 1 + 10 % )3 = 2000
.H
AN
YA
Another sol :
( 1.1)3 × 2000 = -------- calc ( answer is 2662 )
*The graph of percent increase:
MR
original
5
2)
A
YA
ZR
.H
AN
MR
1)
6
.H
AN
MR
4)
A
YA
ZR
3)
7
6)
A
YA
ZR
.H
AN
MR
5)
8
8)
A
YA
ZR
.H
AN
MR
7)
9
10)
A
YA
ZR
.H
AN
MR
9)
11)
10
A
YA
ZR
.H
AN
MR
12)
13)
11
A
YA
ZR
.H
AN
MR
14)
15)
12
A
YA
ZR
.H
AN
MR
16)
13
A
YA
ZR
.H
AN
MR
17)
18)
14
A
YA
ZR
.H
AN
MR
19)
15
A
YA
ZR
.H
AN
MR
20)
16
22)
A
YA
ZR
.H
AN
MR
21)
17
A
YA
ZR
.H
AN
MR
23)
24)
18
26)
A
YA
ZR
.H
AN
MR
25)
19
A
YA
ZR
.H
AN
MR
27)
28)
20
A
YA
ZR
.H
AN
MR
29)
21
A
YA
ZR
.H
AN
MR
30)
22
Solve each problem.
1) What is 30% of 127?
A) 59.4
C) 3810
2) What percent of 118 is 9?
B) 423.3
D) 38.1
A) 0.08%
C) 1311.1%
3) 34 is what percent of 57?
A) 167.6%%
C) 0.6%
4) 31 is what percent of 152?
B) 59.6%
D) 1.68%
A) 0.27%
C) 20.4%
5) 44% of what is 22.27
A) 1.17
C) 9.8
B) 50.5
D) 976.8
A) 127.1
C) 55.1
B) 1.15%
D) 115.5%6
A) 1.32
C) 1466.7
B) 5848
A) 67.9
C) 316.3
D) 62.4
C) 5.3
11) What is 36% of 75?
A) 5.9
C) 39.7
13) 135 is 119% of what?
B) 113.4
A) 212.4
C) 160.7
D) 4060
C)
15) 152% of what is 152.7?
C) 42000
D) 3996
B) 818.2
D) 990
B) 408.3
D) 588
14) What is 155% of 137?
A) 40.6
D) 100.5
40
12) What is 12% of 497
B) 2700
D) 109.5
B) 232.1
B)
10) What is 28% of 19?
A) 157.1
A) 23210,4
B) 74.6
D) 62.3
8) 3% of what is 447
9) What is 63% of 99?
A) 27
C) 208.3
B) 365.8%
D) 153.7%
6) 70% of what is 89?
7) 137.7 is what percent of 159?
A) 0.87%
C) 86.6%
B) 13.1%
D) 7.6%
88.4
B) 340.4
D) 21235
16) 55 is what percent of 61?
A) 1.11%
C) 90.2%
B) 110.9%
D) 0.9%
18) 85 is 54% ofwhat?
17) 6% of 74 is what?
A) 4.4
B) 80
A) 45.9
B) 4590
C) 192.7
D) 320
C) 3600
D) 157.4
23
19) 17 is what percent of 129.4?
A) 0.13%
C) 1.81%
20) What is 280% of 143.7?
B) 13.1%
D) 761.2%
21) What pereent of 160 is 96?
A) 2.1%
B) 212.1%
C) 800%
D) 60%
B) 59.6%
C) 2062.5%
D) 167.7%%
C) 4885.6
A) 88.2
C) 1310
C) 16320
D) 163.2
A)1 100
C) 1620
B) 1.18
D) 117.9
B) 2.2
D) 16.2
28) 39% of what is 95?
A) 37
C) 243.6
29) 73 is 38% of what?
B) 10668.2
D) 106.7
30) What is 55% of 22?
A) 30.2
B) 192.1
A) 1210
C) 27.7
D) 3.2
C)74
31) 130% of 73 is what?
A) 11180
C) 56.2
B)
D) 1104
26) 270% of 6 is what?
27) What is 170% of 96?
B) 132.5
D) 51.3
24) 3% of what is 39.3?
B) 77.3
D) 7726.2
A) 56.5
C) 40236
A) 23.2
C) 5720
25) 79% of 97.8 is what?
A) 508.4
B) 402.4
22) What is 69% of 16?
23) 62 is what percent of 1047
A) 20.6%
A) 32
B) 40
D) 12.1
32) 67 is 59% of what?
B) 9490
A) 1728
B) 113.6
D) 94.9
C) 4620
D) 17.3
33) 340% of what is 30.27
34) What is 82% of 117?
A) 20.6
B) 102.7
A) 9594
B) 142.7
C)8.9
D) 10268
C) 38.2
D) 95.9
36) 39% of 15 is what?
A) 38.5
B)5.8
35) 40.7 is 89%% of what?
A) 36.2
C) 45.7
B) 13764
D) 137.6
C) 585
38) What is 46% of 47?
37) 69.2 is 121% of what?
A) 23.7
C) 57.2
D) 21.6
A) 19.7
B) 83.7
D) 8373.2
C) 2162
24
B) 102.2
D) 21.6
Find each
percent
change.
State if it is
an
increase
1) From 28 to 78
or a
decrease.
2) From 97 to 3
A) 64.1% increase
A) 3133.3% decrease
B) 278.6% increase
C) 178.6% increase
B) 96.9% decrease
C) 3133.3% increase
D) 94% increase
D) 84.7% increase
3) From 29 to 4
A) 25% decrease
B) 86.2% increase
4) From 16.7 to 38
A) 56.1% decrease
B) 127.5% increase
C) 21.3% increase
C) 86.2% decrease
D) 625% decrease
D) 227.5% increase
5) From 54 to 12
6) From 100 to 53.6
A) 42% increase
A) 46.4% increase
B) 86.6% decrease
B) 77.8%% increase
C) 42% decrease
C) 96.4% decrease
D) 77.8%% decrease
D) 46.4% decrease
7) From 72 to 80
8) From 88 to 89
A) 11.1% increase
A) 1% decrease
B) 111.1% increase
B) 1.1% increase
C) 8% decrease
C) 56% increase
D) 8% increase
D) 101.1% increase
9) From 35 to 10
A) 25% decrease
10) From 41 to 73
A) 43.8% decrease
B) 350% decrease
B) 52% increase
C) 71.4% decrease
D) 250% decrease
C) 78% increase
D) 78% decrease
11) From 95 to 44
12) From 37 to 12
A) 51% decrease
A) 25% decrease
B) 215.9% decrease
B) 208.3% increase
C) 53.7% decrease
C) 67.6% decrease
D) 208.3% decrease
D) 53.7% increase
25
13) From81 to 58
A) 39.7% increase
14) From 80 to 20
A) 400% decrease
B) 28.4% decrease
B) 300% increase
C) 84.3% increase
D) 39.7% decrease
C) 75% decrease
D) 300% decrease
15) From 82 to 52
A) 30% decrease
B) 57.7% increase
C) 57.7% decrease
16) From 48 to 31
A) 35.4% decrease
B) 64.6% decrease
C) 54.8% increase
D) 17% decrease
D) 36.6% decrease
17) From 50 to 56
18) From 22 to 86
A) 6% decrease
B) 12% increase
C) 10.7% decrease
A)
B)
C)
D)
D) 6% increase
74.4% increase
74.4% decrease
290.9% increase
390.9% increase
20) From 97 to 57
A) 58.8% decrease
B) 170.2% decrease
19) From67 to 87
A) 23% increase
B) 20% increase
C) 40% decrease
C) 23% decrease
D) 29.9% increase
D) 41.2% decrease
22) From 83 to 66
21) From 44 to 22
A) 20.5% decrease
A) 100% increase
B) 200% decrease
C) 50% decrease
B) 17% increase
C) 79.5% decrease
D) 22% increase
D) 17% decrease
24) From 43 to 87
23) From 56 to 25
A) 55.4% decrease
A) 102.3% increase
B) 224% decrease
B) 44% decrease
C) 202.3% increase
D) 44% increase
C) 124% increase
D) 44.6%% decrease
26) From 58 to 85
25) From 90 to 77
A) 31.8% increase
A) 16.9% decrease
B) 25.4% decrease
C) 13% increase
B) 131.8% increase
C) 146.6% increase
D) 46.6% increase
D) 14.4% decrease
26
27) From 26 to 33
28) From 99 to 41
A) 58% increase
B) 141.5% increase
C) 58.6% decrease
D) 58% decrease
A) 126.9% increase
B) 21.2% increase
C) 7% decrease
D) 26.9% increase
29) From 87 to 59
30) From 93 to 88
A) 67.8% decrease
A) 105.7% decrease
B) 32.2% decrease
B) 5% decrease
C) 5% increase
D) 5.4% decrease
C) 47.5% increase
D) 47.5% decrease
31) From 95 to 43
32) From 65 to 76
A) 52% decrease
A) 11% decrease
B) 11% increase
C) 16.9% increase
B) 52% increase
C) 120.9% increase
D) 54.7% decrease
D) 27.9% decrease
33) From 10 to 14
34) From 56.3 to 91
A) 40% increase
B) 28.6% increase
C) 140% increase
A) 61.6% increase
B) 161.6% increase
C) 138.1% increase
D) 4% increase
D) 38.1% decrease
35) From 82 to 21
36) From 77 to 90
A) 69.5% decrease
A) 13% decrease
B) 61% increase
C) 74.4% decrease
B) 13% increase
C) 16.9% increase
D) 116.9% increase
D) 74.4% increase
37) From 7 to 21
38) From 49 to 56
A) 200% increase
A)
B)
C)
D)
B) 166.7%% increase
C) 200% decrease
D) 300% increase
39) From 96 to 58
14.3% increase
112.5% inerease
114.3% increase
12.5% decrease
40) From 71 to 99
A) 39.6% decrease
B) 38% increase
A) 39.4% increase
B) 128.3% increase
C) 28% increase
D) 60.4% increase
C) 65.5% increase
D) 38% decrease
27