2
(), . () , .
(, . . %, ).
/ | .. | ||
./ | |||
./ | |||
% |
1 , :
=(70000*7)/100=4900
2 :
2.1 =(27040-1670)*4900 =124,3..
2.2 % :
=[124,3 ./(70000 *27040 )]*100=124,3/1892,8=6,57%
: 124,3 ..; 6,57 %
3
-5250 .
, , 60%. , .
1. , - | ||
2. , . . |
18100 /17200 = 1,0523 | |
85591/70587 = 1,2126 | |
.. , | ∆ = (1- 1,0523/1,2126)*0,6*100= 7,932% |
: 7,93%
4
.
13000 . 2010. 0,75, 0,8.
, . | , | , | |
1. | - | ||
2. | 01.. | ||
01.. | |||
3. | 01. |
|
|
1. = N*-+-*- -*T1/12 *-*2/12 = 25*350+14*380*9/12+10*430*3/12-13*350*6/12 =11540
2. :
=*=11540 *0,75=8655
3. , :
13000-8655=4345
4. :
=/,
=/,
=4345/0,8=5431
: 5431
5
: , 1000 . . . , (, ).
, ..
/ | .. | |||
1) = 1 5
2) = ()/
= ()/
J = () / ()
∆ = J 100
3) = / ( )
4) () = () -()
() = () -()
5) = /- ( )
6) 1000 . = -()/ *100
6
(, ) ( ) ( ) ( )
, ..
/ | |||
/ | ||||||
() | V/ | 312300/35770 331200/36670 | 8,73 | 9,03 | ||
, | 360/ | 360/8,73 360/9,03 | 41,23 | 39,87 |
:
- 8,73 9,03,
- 41 40 .
7
. :
1. , . | ||
2. , . | ||
3. , . | ||
4. , . . |
, ( ), () ( %) .
|
|
:
Δ = [(5000 - 3000 ) (4000 - 2500 )] = 500
1. :
2=2000/3000*100=66,7%,
1=1500/2500*100=60%
=66,7-60= +6,7 ..
= Δ*V = 500 .30000 .= 15 .
2. =/=15 ./20.*100=75%
: ∆=+6,7 ..; =75%
8
( .) ( %, ) 1000 . .
:
/ | , . . | |
25000 . . 1000 . .
1. = . 1 5 = 19980 . .
19980/21220 = 0,94 940 . 1000 .
1000 . 940 .
2. ( ):
=25000 .*940 =23500 ..
3. ( ):
=23500 . 1000 ..= 22500 ..
4. 1000 :
=22500 ../25000 ..= 0,9 .
900 . 1000 .
: 1000 . :
- : 940 900 .=40 .;
- : 100-(900/940)*100=100-95,74= 4,26%
9
:
- ;
- ;
- IV .
0,35 /. 170 . 2360 . 1,57, 27.09.2010 1382 1,877, 1- 01.11.2010. 118 . .
1. 4- :
4=118 ..*(1,57 *1,877)=118*2,947 =347730 .
2. : =170/0,35 / = 485
3. : 347730/485 = 717 .
4. : =717*2360=1692120 .
: 4- 347430 .;
717 .;
1692120 .
10
, , . .
1. | ||
2. | ||
3. | ||
4. , . |
, :
|
|
- ( ) ;
- ( , % ) ;
- ( , . ./.) (....., % ).
/ | % | ||||
() | 62200/470 77000/470 | 132,4 ../. | 163,8 ../. | 123,8 | |
6600/470 7600/470 | 14,042 ... | 16,170 .. | 115,2 | ||
123,8/115,2 | =1,075 | ||||
, . | 6600/62200 7600/77000 | 10,12% | 9,87% | 93,02 | |
(), .. | 62200-40050 77000-46050 | ||||
(1- -), . | 22150/470 30950/470 | 47,13 | 65,85 |
11
-5250 5- . ( . .):
1. , - | ||
2. 5- , / | ||
3. 5- 27 1382 | 1,74 | 1,74 |
3. , % | ||
4. , % |
1. 4082*1,74*85618 4082*1,74*70615 | 608117 .. | 501556 .. |
2. : 608117.. *0,15 500978 .. *0,15 | 91112 .. | 76467 .. |
3. : | 698530 .. | 577445 .. |
4. : 698530 ..*1,35 577445 ..*1,35 | .. | .. |
5. : 943015 779551 | .. |
: 163464 . .
12
, :
0,5 , . | |||||||
1. | |||||||
2. | |||||||
0,15 | 0,1 | 0,25 | 0,05 | 0,25 | 0,2 |
( ) .
1 :
:
3*0,15+3*0,1+4*0,25+5*0,05+4*0,25+5*0,2=0,45+0,3+1,0+0,25+1,0+1,0=
=4 ,0
:
*0,15+3*0,1+4*0,25+5*0,05+4*0,25+4*0,2=0,45+0,3+1,0+0,25+1,0+0,8=
=3 ,8
2. :
I=3,8/4,0=0,95
3. :
2200 ./2350 .=0,936
: :
|
|
0,95/0,936=1,01, .. .
13
( % ) - 2823-17010252 .
1200 . - () .
-, . | -, | ||
005 010 015 020 025 030 / | 005 010 015 020 025 030 / |
.
1 :
∑=1229
∑=503
:
= = %
:
= = =144,5%
: 144,5 %
14
, 1600 . ., 8 . . 12 . ., 120 180 . ., 100 140 . .
:
(∆),
.
: , , -, , -, 20 %, , .
15
95000 , 55000 . 0,6 . .
1 :
=55000 /95000 = 0,58
2 :
= 95000 *0,6 = 57000
3 :
= 57000 55000 = 2000
4 :
= 2000 /0,58 = 3448
: 3448
16.
- ( , , , ), .
. .: 9000, 4000. 4800. 1000. 16000, 13000. 12500.
.
=1000 /9000 100 = 11,11
=1000/ 4800 100 = 20,83
= 500:12500 100 =4
=1000/16000 100=6,25
= (9000-4000) / (9000-4800) = 1,19
=
(4800 4000) / 5000 = 0,16
17.
- .
. .: 1200 ; 500, . ( ) 20%.
:
= 1200:500 =2,4
= 1 / (1+0,2)=0,8333;
= 1 /(1+0,2) (1+0,2)=0,6944; 0,5787; 0,4823, 0,4019.
=
- 1200 0,8333 + 500 0,6944 + 500 0,5787 + 500 0,4823 + 500 0,4019 =
- 1000 +347+289+241 + 201=78
- 5 .
18.
- (1), (2) (3) .
. .: 5500, 3000, 54. 2800. 700 , 500. .
|
|
:
= 2500 + 3000 = 5500 = 2800 +2700 = 5500
1= 3000 / 2700=1,11 2= (2800-2500) / 3000=0,1 3 = 54 / 2700 = 0,02
=2500 + (3000+700-500)=5700 = (2800 + 700) + (2700 -500)= 5700
1= 3200 / 2200 = 1,45 2 = (3500 -2500) / 2200 = 0,45 3 = 216 / 2200 = 0,1
19.
, 0,5.
. .: 24000, 3000. 190 . 8% 3%.
:
= 24000 / 190 = 126,32
24000 1,08 =25920
= 190 1,03 = 196
= 25920 / 200 = 132,24
= (132,24: 126,32) 100 - 100 = 4,69
= 4,69 0,5 = 2,35
= 3000 1,0235 = 3070 . .
= (3070 / 196) /12= 1305 . .
20.
( , ).
: 840 . ., 7 . 2000 1900 . 6 . 5,5 . . .
:
=
(1900-2000) 6 (840 / 7) =-480 . .
= 840 / 480 = 1,75
-480 (9/12) = -360
= -360 / (5500 6) 100 = -1,09%
= 2000/5500= 0,36
= 1900/5400= 0,35
= (0,35 0,36) / 0,36 100 = -2,78
21
60000. 0,8. . 26 .. , 346.. 25% . :
- . . | . | / | |
. | |||
1 1 | |||
1 1 |
:
1. =+-=31*1510+14*1940*8/12+10*1010*6/12-7*1510*10/12-9*1510*5/12 =55496.
2. - =55496*0,8=44397.
3. 60000-44397=15603.
4. =15603/0,8=19504.
5. . =19504*26000=507104..507,1. . , .. .
6. =507,1-346=161,1
7. ()25% =161,1*25/100=40275000.
8. () =161,1+40,275=201,375..
22
(..)
.-, | ||
.. | ||
/ | ||
1. : =1051-952=99.. =3506-3689=-183..
2. : =99/952*100=10,4%,=-183/3689*100=-5%
3. : =1051/864=1,22, =3506/2817=1,24.
∆=1,24/1,22*100=101,6%
4. : =864/1051=0,82,=2817/3506=0,8,
∆=0,8/0,82*100=97,6%
5. : =29/1051=0,028, =195/3506=0,056.
∆=0,056/0,028*100=200%
6. : =1051/29=36, =3506/195=18. ∆=18/36*100=50%
7. : =4/1051=0,004, =127/3506=0,036,
∆=0,036/0,004=9.
8. 1 : 1=952/1051=0,91, 1=3689/3506=1,05.
∆1=1,05/0,91*100=115,4%
23
. 43000$. 7,5$. 4- . .
.. | |||||
.. | |||||
.$ | |||||
--//-- |
%- 15% .
1. :
1=30000*7,5-160000-21000=44000$;
2=60000*7,5-310000-45000=95000$;
3=80000*7,5-410000-60000=130000$;
4=100000*7,5-510000-76000=164000$.
2. :
1 =1+15/100=1+0,15=1,15;
2 =(1+0,15)2=1,3225;
3 =(1+0,15)3=1,5209;
4 =(1+0,15)4=1,7490
3. :
1 =44000/1,15=38000$;
2 =95000/1,3225=72000$
3 =130000/1,5209=85000$;
4 =164000/1,7490=94000$
4. 38000+72000+85000+94000=289000$, 43000$, .. .
24.
. 100 . . 16 . . 3- . 10%. .
.. | ||||
.. |
, . , 15%.
:
1) :
1 =1/(1+0,15)=0,8695
2 =1/(1+0,15)2=0,7561
3 =(1+0,15)3=0,7561
2) :
1 =(16000*30000)*10%=48000000
2 =(16000*60000)*10%=96000000
3 =(16000*80000)*10%=128000000
3) :
1 = (-100000000+48000000)*0,8695=-45214000
2 = (96000000*0,7561) = 72585600
3 = 128000000*0,6570 = 84096000
25
, :
( /) | ||
=37700/13175=2,89
=68245/18605=3,67
1- =360/2,89=124,6125
1- =360/3,67=98,198
125-98=27
68245/360=189,6
27*189,6=5119,2
26
, - 2 :
1. =110/18990*100=0,58%
=930/97616*100=0,95%
, 0,37%
2. =70/18990*100=0,37%
=450/97616*100=0,46%
0,09%
3. ( ) =70/9170*100=0,76%
( ) =450/82760*100=0,54%
4. - =9170/18990=0,48
- =82760/97616=0,85 <0,5
5. - =9170/(18990-9170)=0,93
- =82760/(97616-82760)=5,57 <1
27
(..)
2,85 | 2,96 | |
2,5 | 2,55 | |
1,05 | 1,08 | |
, |
:
2,85/2,5=1,14 | 2,96/2,55=1,16 | 1,16/1,14*100= 101,75% | |
2,5/2,85=0,88 | 2,55/2,96=0,86 | 0,86/0,88*100=97,73% | |
- . | 2,85/1,05=2,71 | 2,96/1,08=2,74 | 2,74/2,71*100=101,1% |
. | 360/2,71=132,8 133 | 360/2,74=131,4 132 | 133-132=1 |
2850/1200=2,375 ./ | 2960/1250=2,368 ./ | 2,368/2,375*100=99,71% | |
1200/2850=0,421 /. | 1250/2960=0,422 /. | 0,422/1,421*100=100,24% |
28
20 .. 10 . : , , .
:
3 .
: ..=20/10=2.. 3 =2*3=6..
: : 1+2+3+4+5+6+7+8+9+10=55
1- 10*100/55=18,18%; 18,18*20/100=3,636..
2- 9*100/55=16,36%; 16,36*20/100=3,272..
3- 8*100/55=14,54%; 14,54*20/100=2,908..
3 : 3,636+3,272+2,908=9,816..
: =1/10*100*2=20%
1- 20*0,2=4..,
2- (20-4)*0,2=3,2..,
3- (20-4-3,2)*0,2=2,56..
3 : 4+3,2+2,56=9,76..