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3.9 Persentasie – afslag en verhoging

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Wiskunde

Persentasies

Opvoeders afdeling

Memorandum

17.4

a) R179,97

b) R254,58 (afgerond)

c) R10 665

d) R16 794,75

17.5.2

a) 10,7%

b) 10%

Leerders afdeling

Inhoud

Aktiwiteit: persentasie – afslag en verhoging [lu 1.7, lu 2.7.1]

17. PERSENTASIE – AFSLAG EN VERHOGING

17.1 Kyk na die volgende advertensies:

17.2 Het jy geweet?

KOSPRYS : die bedrag wat die handelaar vir ’n artikel betaal

MERKPRYS : dis die bedrag op die artikel

VERKOOPPRYS : dit is die prys na afslag

WINS : verkoopprys – kosprys

17.3 Werk saam met ’n maat deur die volgende probleem en oplossings:

(i) Die prys van ’n bakkie margarien is R6,99. As die prys met 10% gaan styg, hoeveel sal jy voortaan vir die margarien moet betaal??

a) Nuwe prys is R6,99 + 10% van R6,99

= R6,99 + 70 c (afgerond)

= R7,69

b) Nuwe prys is (100 + 10)% van R6,99

= 110% van R6,99

= R7,69 (afgerond)

Wie se metode verkies jy? ..................................................

Hoekom? ………………………………………………………………………………

………………………………………………………………………………………….

………………………………………………………………………………………….

(ii) Top Tiener Tooisels het ’n 20% afslag op alle T-hemde. As die hemp oorspronklik R189,90 gekos het, wat sal jy nou daarvoor betaal?

a)

Ek betaal nou net 80% (100% - 20% afslag)

Dus: 80 100 × 189 , 90 1 size 12{ { { size 8{"80"} } over { size 8{"100"} } } times { { size 8{"189","90"} } over { size 8{1} } } } {}

= R 151, 92

b)

20% van R189,90 = 20 100 × 189 , 90 1 size 12{ { { size 8{"20"} } over { size 8{"100"} } } times { { size 8{"189","90"} } over { size 8{1} } } } {}

Die afslag is dus R37,98

Ek betaal R189,90 – R37,98 = R151,92

Watter metode verkies jy? ..................................................

Hoekom? ………………………………………………………………………………

………………………………………………………………………………………….

………………………………………………………………………………………….

17.4 Wat sal jy vir die volgende items betaal?

17.5.1 Belangrik om te onthou

17.5.2 Deel in groepe van drie. Kan julle bereken hoeveel % afslag op die volgende items gegee is?

17.5.3 Verduidelik jul metodes(s) aan die res van die klas.

Assessering

Leeruitkomste 1: Die leerder is in staat om getalle en die verwantskappe daarvan te herken, te beskryf en voor te stel, en om tydens probleemoplossing bevoeg en met selfvertroue te tel, te skat, te bereken en te kontroleer.

Assesseringstandaard 1.7: Dit is duidelik wanneer die leerder skat en bereken deur geskikte bewerkings vir probleme wat die volgende behels, te kies en te gebruik:

Leeruitkomste 2: Die leerder is in staat om patrone en verwantskappe te herken, te beskryf en voor te stel en probleme op te los deur algebraïese taal en vaardighede te gebruik.

Assesseringstandaard 2.7: Dit is duidelik wanneer die leerder die ekwivalensie van verskillende beskrywings van dieselfde verhouding of reël, bepaal, ontleed en interpreteer, wat soos volg voorgestel word:

2.7.1 woordeliks.

Questions & Answers

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Source:  OpenStax, Wiskunde graad 7. OpenStax CNX. Oct 21, 2009 Download for free at http://cnx.org/content/col11076/1.2
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