magaliTad, Tu sawyisi fasia : a: lari da moxda

3.3 rogor vipovoT ricxvi misi procentis mixedviT?
mizani: moswavleebs vaswavloT ricxvis(sididis) povna misi procentiT; mocemuli
procentiT gazrdiT an SemcirebiT miRebuli ricxvis gamoTvla.
codna da unari: moswavlem unda icodes:
1) ricxvis povnis wesi misi procentis mixedviT;
2) ricxvis mocemuli procentis gazrda-SemcirebiT miRebuli ricxvis
gamoTvla.
moswavles unda SeeZlos:
1) ricxvis povna misi procentis mixedviT;
2) ricxvis mocemuli procentis gazrda-SemcirebiT miRebuli ricxvis gamo-
Tvla;
3) amocanebis amoxsna sididis (magaliTad, fasis) ramdenime procentiT
momateba-daklebaze.
meToduri komentarebi: moswavleebma meeqvse klasidan ician ricxvis povna misi
nawilis mixedviT. nawilis mixedviT (amocanebi nawilebze gasameorebel
savarjiSoebSi wina paragrafSic hqondaT micemuli). amitom SegviZlia procentis
mixedviT ricxvis povna daviyvanoT nawilebze analogiur amocanaze.
sididis (magaliTad, fasis) procentiT momateba-daklebis amocanebSi
aucilebelia moswavleebs avuxsnaT, rom ` a sidide gaizarda (Semcirda) p%
-iT~
niSnavs ara a+ p%
-s, aramed a sidides daemata (gamoaklda) amave a sididis p % ,
a×
p a×
p
anu ( a + )-s ( ( a − )-s).
100 100
p
p
sasargebloa, agreTve, aRniSnuli formulebis a (1 + ) da a(1 − ) saxiT
100
100
gamoyeneba. magaliTad `fasi gaizarda 15%-iT~ niSnavs sawyisi fasis 1,15-ze
gamravlebas, xolo `fasi Semcirda 15%-iT~ niSnavs sawyisi fasis 0,85-ze
gamravlebas. aseT amocanebSi sawyisi sidide (magaliTad, sawyisi fasi) iTvleba
100%-ad da mas emateba an akldeba mocemuli procenti. aseTi midgoma aadvilebs
iseTi amocanebis amoxsnas, romlebSic xdeba mravaljeradi momateba-dakleba.
magaliTad, Tu sawyisi fasia a lari da moxda orjeradi gaZvireba jer 10%-iT da
Semdeg 20%-iT, maSin miRebuli fasi iqneba a × 1,1× 1, 2 = 1, 32 , anu sabolood
gaZvireba 32%-iT momxdara.
moswavleebs unda davusvaT Semdegi kiTxvebi:
_ ras niSnavs saqonlis 25%-iT gaZvireba? (pasuxi: sawyisi fasis 1,25-ze
gamravlebas).
_ ras niSnavs 90%-iani fasdakleba? (pasuxi: sawyisi fasis 0,1-ze gamravlebas, anu
sawyisi fasis meaTeds).
_ fasis 1,5-jer gazrda ramdeni procentiT gaZvirebaa? (50%-iT).
_ fasis 4-jer Semcireba ramdeni procentiT fasdaklebaa? (75%-iT) da a. S.
komentarebi savarjiSoebis Sesaxeb da pasuxebi. #1---#13 paragrafSi amoxsnili
savarjiSoebis analogiuria.
#15. a)10000× 1,1 = 11000 ; b)10000× 1,1 × 1,1 = 11000× 1,1 = 12100 .
#16. amocana amoixsnas etapebad:
I etapi. gamovTvaloT Rvinis warmoebaSi dabandebuli Tanxis raodenoba:
20000× 0, 4 = 8000 (l).
II etapi. gamovTvaloT sakonservo warmoebaSi dabandebuli Tanxis raodenoba:
20000 − 8000 = 12000 (l)
III etapi. gamovTvaloT TiToeul warmoebaSi miRebuli mogeba:
8000 × 0,6 = 4800 (l), 12000× 0,5 = 6000 (l)
IV etapi. gamovTvaloT saboloo Tanxa:
20000 + 4800 + 6000 = 308000 (l)
#17. vTqvaT, marTkuTxedis sigrZea a , xolo sigane b . maSin misi farTobi
S = a× b. sigrZis 10%-iT gazrdiT miviRebT 1,1a -s, xolo siganis 20%-iT gazrdiT
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