.


:




:

































 

 

 

 


1

2009-2010 .. - :

    +/- %
, . , . . .         +6   -4   +2 107,14   91,83   106,25
, 㳿, , . ./.         -20     +15 90,47     111,54
, .     +250 122,26
.. , ..     +150 108,57

 

.

2

5960 . ., 870 . ., 132 . . 10230 . . 7910 . . 245 . ., 115 . . : 1) ; 2) .

 

:

=/+. *100%;

-=245000-115000/5960000+870000 +132000*100%=130000/6962000*100=1,87;

= /Ҳ;

=5500000/3350000=1,29;

. 3

. .

1. , . ..    
2. ,    
3.    
3. , . 1- 2- 3- 4- 5-    
г , . ..    
     

 

 

-
- -
+ ( +)   3000+1200 3000+1200 5000+1000 - - - 2500+1700 3000+1700 4000+1700 5000+1700 4500+1700  
   
-           -       -          
   
  13400-10272   27500-17418    
  1,305 1,58  
  2,2 3,17  
                           

:

1. 14100 . . . , 2 , .

2. 3128 . ., 10082 . . ᒺ.

3. , .

4. , , , .

 

4

, . 37,5 . 16.07 . 3,2 . , , 3468,5 . , 5369 6135 ?

1. :
=+×(t1/12)-. ×(t2/12)
= 3468,5+37,5×(5/12)3,2×(5/12) = 3468,5+37,5×0,423,2×0,42=3468,5+ +15,75 1,344=3482,91 ..

2. :
= /
. = 5369/3482,91=1,54 ./.
. = 6135/3482,91=1,76 ./.

= /
= 3482,91/5369 = 0,65 /.
. = 3482,91/6135 = 0,57 /.

, 0,22 ./., 14,29%, 0,08 ./. 12,3%.

. 6

20 . . ֳ 42 . 34 .. 115 . .. 51 . . 9 . .. 21 . .. , , , , .

.

() 20*42=840
 
()  
34*20=680
700-680=20
 
 
 
Գ 20-115-51-9=-155
 
Գ -155+21=-134
-
Գ -134

 

7

ϳ 1500 . . 300 . . - , 62 . : 1) ; ; - .

:

:

=/Ô

.0.=1500/300=5

=/

.0.=360/5=72

.1.=62

.1.=360/62=5,8

Ô2=1500/5,8=258,62 .

ΔÔ.=300/1500*1500-258,62=41,38 .. , (+)

ΔÔ.=1500/360*(72-62)=41,67 ..

8

11520 . ., 12330 . ., 283 , 293 . .

:

▲Q= (1 0)* W0

▲Qw0 = 11 520 000/283= 40 706, 7

▲Q=(293-283)* 40 706, 7 = 407 067,1

▲Qw= (W1-W0) *1= (12 330 000/293 11 520 000/283) *293 = (42 081,9 - 40 706, 7)*293= 402933,6 .

9

1- . 40 ., 8 ., . 100 . . 300 , 10 %. . 0,85. : 1) ; 2) .

:

:

ij :

.=300*8*3*0.9=6480 /

=6480*60/40=9720

:

9720*2= 19440 = 19,44 /.

:

19,44 /*0,85 = 16,52/.

 

 

10

. 1.., , , .

1.

1- , . . 1- , . . ,
4,1 3,5  
5,8 6,5  
5,0 5,3  
4,7 5,9  

´:

. = -

 

1) = *ֳ

= 3,5*26 = 91

= 6,5*52 = 338

= 5,3*41 = 215,3

= 5,9*49 = 289,1

∑ = 935,4

 

2)

= 4,1*26 = 106,6

= 5,8*52 = 301,6

= 5,0*41 = 205

= 4,7*49 = 230,3

 

3) .

= 91-106,6 = -15,6

= 338-301,6 = 36,4

= 217,3-205 = 12,3

= 289,1-230,3 = 58,8

∑ . = 91,9

 

4) R. = ./.*100%

= -14,63 %

= 12,07 %

= 6 %

= 25,53 %

R.. = ∑,,, = 28,97%

 

5) R = /*100%

= -17,14 %

= 10,77 %

= 5,66 %

= 20,34 %

R = 91,9/935,4 * 100% = 9,82 %

 

11

 

8136 . . 1235 . ., 1450 . . 12132 . ., 250 . , , .

:

:

7487,25..;

> ./. , 1 . 1,62 . .

./. , 1 . , 0,62 . .

7487,25/250=29949./. , 29949 .

12

 

ϳ 1500 . . 300 . . - , 62 . : 1) ; ; - .

:

:= /

(): = T/Ko6 = ( )/

,- , .

쳿 ():

=/*(2-1)

- ;

- ;

2: 1 - .

.=360/62=5,81

=1500/360*(72-62)=4166,66

, , 4166,66.

. 13.

. 1, (, , , , , , , , , , 1 . , .

1

. 2010
. .  
() . .  
. .  
. .  
. .  
. .  
. .  
.. - . .  
. .  
. .  

 

: = /=15200/4500= 3,38 /

: = / =4500/15200= 0,29/

: = / =

4500 =0,17 /

:= /=4500/116=38,79 ../

: / =16850/167=100,89 ../

: =/=2100/15300=13,73%

: - = = =11,7%

: = = =4,55%

: = = *100=102,44%

1 . : 1 . = =0,91 .

: = /=16850/2050=8,22

 

14

1 . .

г , .   , ./. ֳ , ./.
         
         

 

:

1. 1 . : 1.=./Q, . 񳺿

, .; Q.

, .

1=(5 500*79+11 500*21)/(5500*86+11 500*27)=0,86 /

2. 1 . : 1=/Q, . 񳺿 , .; Q. , .

1=(5 000*83+12 000*24)/(5 000*86+12 000*27)=0,93 /.

3. :

γ=(1-1)/1*100%=(0,93-0.86)/0,93*100%=7,53%

15

4800 . . 5780 . 1- . 1840 . 2 %, 15 %. .

`:

.=96+4 800=4 896 .

.= 867+5 780=6 647

. .= 5780*1840=10 635 200 .

.=6647*1840=12 230 480 .

= :.. . =10635200:4800=2215,7 .

.= : .. . =12230480:4896=2498,1 .

, , 1 , 282,4 ..

= .. . : =4800:10635200=0,45

= .. . =4896:12230480=0,4003 .

, 1 , , 0,0497.

 

 

16

300 . 1 40 , 1 10 , 5 . :

1) ;

2) .

3) ( , , ).

`:

. =.. + (*t1):12 ( *t2):12=300 + (40 *7):12 + (10*3):12 (5*1):12=300+23,33+2,5-0,42=325,41 .

..= ..+-=300+40+10-5=345 ..

=:..=50:345=0,14

=:..=5:300=0,02

.=( -): ..=(50-5):300=0,15

 

 

17

2010 2011 .

2010 2011 (), % 2010
1. 3400 . . 5,6
2. 2150 . .. 4,8
3. г - 450 . . 7,8
4.   52 .   3,0

 

, 2011 2010 .

`:

2010

=:=3400:2150=1,58

=:=450:2150=0,21(21%)

=:=2150:52=41,35

=:=2150:3400=0,63

2011

=3590,4:2253,2=1,59

=485,1:2253,2=0,22

=2253,2:54=41,73

=2253,2:3590,4=0,63

, 2010 , 1 , 0,01 ; , , 1%; , 1 , 0,38 ; 1 , .

 

18

. .

1. , . .    
2. ,    
3.    
3. , . 1- 2- 3- 4- г , . .      

 

:

= +

:

1=3000+1000=4000..

2 = 4000+1000=5000..

3=6000+1000=7000..

∑=16000 ..

:

1=2000+1500=3500 ..

2=3000+1500=4500 ..

3=4000+1500=4500 ..

4 =4000+1500=4500..

= /(1+ )

:

1. = 4000/1,12=3571,43

2. =5000/1,254=3985,97

3. =7000/1,404=4982,46

∑=12539,86

:

1. =3500/1,15=3043,48

2. =4500/1,3225=3402,65

3. =5500/1,5208=3616,52

4. =5500/1,7490=3144,65

∑=13207,3

=∑ ∑

=16000-12539,86=3460,14

=19000-13207,3=5792,7

= ∑ /∑

=16000/12539,86=1,276

=19000/13207,3=1,438

= ∑/(∑ /- )

=12539,86/5333,33=2,35

=13207,3/4750=2,78

   
12539,86 13207,3
3460,14 5792,7
1,276 1,438
2,35 2,78

 

:

, . 2 3000 . 2 , 2332,56 . - . .

 

19

, 1- . , , . 1

1

/ .
1. . . 122,88
2. . . 93,12
3. . . 0,24
4. - ..  
5. . .. 126,0
6. . . 182,0

.-=/+

1 = /

= /

= /

 

1. 1 .= 93,12/122,88=0,76

2. = 122,88/126=0,97

3. = 122,88/610=0,2

4. =(122,88-93,12)+0,24=30..

5. -=30/308*100=9,74

 

. 20

, , 1- . ., , , , , . 1

1

/ .
1. . . 530,0
2. . . 370,0
3. . . 0,27
4. - ..  
5. . .. 487,0
6. . . 364,0

 

R = / + *100% = (530 - 370 + 0,27) / 487+ 364 * 100% = 18,83%.

R = / = (530 - 370 + 0,27) / 370 * 100% = 43,3%.

1 = / = 370/ 530 = 0,7

= / = 530 / 1024 = 0,52

. = / = 530 / 487 = 1,09

. = / = 487 / 530 = 0,92

= / = (530 - 370 + 0,27) / 487 *100% = 32,9%.

= / = 487 / 1024 = 0,48

= / = 530 / 364 = 1,46.

21

3450 . ., 685 . . 7580 . . 5910 . . 240 . ., 95 . . :

1) ;

2) .

R =/+. *100%;

R -=240000-95000/+345000+685000 *100%=3,5%;

R = /Ҳ *100%;

R = 145000/3350000 *100% = 4,33%.

22

2900 .., 560 .. 5550 .. 3350 .. 125 .., 75 .. : 1) ; 2) - .

1. .:

 

, ; , ; - ; 100 .

2. .:

 

R .

. 23

, , ' 3,26 . , 340 . , , - 25,5 . 11 , 4 . 1 47,9 .

 

1, = / .

= 47,9/3260=0,015

2. = / .

. = .+-

=3260+(340+25,5)-47,9=3577,6 .

=47,9/3577,6=0,013

3.-=.+*t1/365-*t2/365

-= 3260+340*296/365+25,5*272/365-47,9*183/365=3260+275,73+19,0-24,02=3530,71

24.

.

г , , .. ³ , .. ,
  1,85 2,20 0,8
  1,68 2,05 1,0
  1,44 1,60 0,5
  1,37 1,55 0,25

145 . .. 23,4 . .

 

 

:

(-)=(2,20-1,85)/1,85*100%=18,92%

()=(2,05-1,68)/1,68*100%=22,02%

(-)=(1,60-1,44)/1,44*100%=11,11%

(-)=(1,55-1,37)/1,37*100%=13,14%

:

 

= 220+153,75+153,6+142,6=669,95

-=∑

-=

= -

- - =669,95-575,28=94,67

R=94,67/575,28*100=16,46%

R-=

R-=94,67/(145+23,4)=56,22%

 

R=

R=94,67/669,95*100=14,13%

 

25

, -, -, . . :

³
1. , . . 71600,00 72500,00 900,00 101,26
2. , % 50,50 53,80 3,30 106,53
3. - , . 400,00 405,00 5,00 101,25
4. , . 386,00 376,00 -10,00 97,41
6. , 6330,00 6500,00 170,00 102,69
7. , .*. 3510,00 3930,00 420,00 111,97
8. , . . 116000,00 121450,00 5450,00 104,70
11. (8:1), ./. 1,62 1,68 0,06 103,40
12. (1:3) . ./. 179,00 179,01 0,01 100,01
13. (1:4) 185,49 192,82 7,33 103,95
14. (1:8), ./. 0,62 0,60 -0,02 96,71
15. (6:3) ./.. 15,83 16,05 0,22 101,42
16. (7:3) ../. 8,78 9,70 0,93 110,58
17. (1*2/3) . ./. 90,40 96,31 5,91 106,54
18. , /. (8/1*2) 3,20814 3,11370 -0,09 97,06

 

=/

.=/

.=/.

=/

=. /

= ./

= . . . /

:

=*. . *

1=71600*0,505*3,20814=115999,93

2=72500*0,505*3,20814= 117458,03

3=72500*0,538*3,20814= 125133,5

4=72500*0,538*3,1137= 121449,87

Δ1=117458,03-115999,93= 1458,1

Δ2 =125133,5-117458,03= 7675,47

Δ3 =121449,87-125133,5 = -3683,63

Δ =1458,1+7675,47 - 3683,63 = 5449,94

 

 

27

. .

1. , . ..    
2. ,    
3.    
3. , . 1- 2- 3-     -
г , . ..    

:

= .+

1 = 700+130 = 830 .

2 = 500+130 = 630 .

3 = 400+130 = 530 .

= 830+630+530 = 1990 .*1000=1990000.

(..) = /(1+r)n

1 = 830000/(1+0,14)1 = 728070,18 .

2 = 630000/(1,14)2 = 4844764,54 .

3 = 530000/(1,14)3 = 3577334,9 .

∑ = 728070,18 +4844764,54+3577334,9 = 1570569,6 . = 1570,57 ..

:

= 700+110+500+110 = 1420 .. = 1420000 .

1 = 810000/(1+0,13)1 = 716814,16 .

2 = 610000/(1,13)2 = 477719,48 .

∑ = 716814,16+477719,48 = 1194533,6 . = 1194,53 ..

:

, = 1570569,6 1500000 = 70569,6 . > 0

, = 1194533,6 1000000 = 194533,6 . > 0

= ∑/.

= 1570569,6/1500000 = 1,05 > 1

= 1194533,6/1000000 = 1,2 > 1

:

= /

= 1500000/1570569,6 = 0,96

= 1000000/1194533,6 = 0,84

, , , , .

 

28

: 13680 . .; 165 . .; 15830 . .; 7 . .; 9,3 . .; 16310 . .; 9560 . ., 4250 . .

.:

= ² /*100 = (15830-13680-9,3-165)/15830*100 = 12,48%

- = / ( )*100 = (15830-13680-9,3-165+7)/(9560+4250+16310)*100 = 1982,7/30120*100 = 6,58%

. 29

32360 . ., 20420 . ., 284 . ., 46 . ., 12 . ., , , 878 . ., 1888 . ., 88400 . ., 32460 . .

, ( / ), ( / ) .

 

.:

= 32360-20420+284+46-12-878-1888 = 9492 .

= 9492/88400*100 = 10,74%

= 9492/32460*100 = 29,24%

= ² /*100 = (32360-20420-878-1888)/32360*100 = 9174/32360*100 =28,35%

 

30

5700 92 . , , . 72000 , 75 , 7100 . 12% .

, , 12%.

= 5700 * 92 = 524400

2 = 7100 * 92 = 653200

= 653200 72000 75 * 7100 = 48700

= 48700 * (1 + 0,12) = 54544

= ʳ * ( )*

ʳ = ( + ) /(ֳ )

ʳ = (54544 + 72000) / (92 75) = 7443,7647 .

 

 



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