WISKUNDIGE GELETTERDHEID
Graad 10
NOG OEFENINGE
Persentasies : antwoorde
  
MATHEMATICAL LITERACY
Grade 10
MORE EXERCISES
Percentages : answers
  
  
  
Antwoorde / Answers  1
  
$$ \hspace*{13 mm}\mathrm{Skryf\ die\ persentasie\ as\ 'n\ breuk\ \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{met\ noemer\ van\ 100\ en \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{vereenvoudig,\ indien\ nodig. \kern30mm } $$

     
$$ \hspace*{6 mm}\mathrm{1.1\kern2mm0,25\ =\ \frac{25}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ \frac{1}{4} \kern30mm } $$

[ VQ 1. ]
     
$$ \hspace*{6 mm}\mathrm{1.3\kern2mm82\ \%\ =\ \frac{82}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ \frac{41}{50}\ =\ 0,82 \kern30mm } $$

[ VQ 1. ]
     
$$ \hspace*{6 mm}\mathrm{1.5\kern2mm14\ \%\ =\ \frac{14}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ \frac{7}{50}\ =\ 0,14 \kern30mm } $$

[ VQ 1. ]
$$ \hspace*{13 mm}\mathrm{Write\ the\ percentage\ as\ a\ fraction\, \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{with\ denominator\ of\ 100\ and \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{simplify,\ if\ necessary. \kern30mm } $$

     
$$ \hspace*{6 mm}\mathrm{1.2\kern2mm45\ \%\ =\ \frac{45}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ \frac{9}{20}\ =\ 0,45 \kern30mm } $$

[ VQ 1. ]
     
$$ \hspace*{6 mm}\mathrm{1.4\kern2mm3\ \%\ =\ \frac{3}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ \frac{3}{100}\ =\ 0,03 \kern30mm } $$

[ VQ 1. ]
     
$$ \hspace*{6 mm}\mathrm{1.6\kern2mm230\ \%\ =\ \frac{230}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ \frac{23}{10}\ =\ 2,3 \kern30mm } $$

[ VQ 1. ]
  

  
  
Antwoorde / Answers  2
  
$$ \hspace*{13 mm}\mathrm{Skryf\ die\ desimale\ breuke\ as \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{breuke\ met\ noemer\ 100\ en\ skryf \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{dit\ dan\ as\ 'n\ persentasie. \kern30mm } $$

     
$$ \hspace*{6 mm}\mathrm{2.1\kern2mm0,25\ =\ \frac{25}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ 25\ \% \kern30mm } $$

[ VQ 2. ]
     
$$ \hspace*{6 mm}\mathrm{2.3\kern2mm0,126\ =\ \frac{126}{1000} \kern30mm } $$

$$ \hspace*{25 mm}\mathrm{=\ \frac{12,6}{100}\ =\ 25\ \% \kern30mm } $$

[ VQ 2. ]
     
$$ \hspace*{6 mm}\mathrm{2.5\kern2mm0,458\ =\ \frac{458}{1000} \kern30mm } $$

$$ \hspace*{25 mm}\mathrm{=\ \frac{45,8}{100}\ =\ 45,8\ \% \kern30mm } $$

[ VQ 2. ]
     
$$ \hspace*{6 mm}\mathrm{2.7\kern2mm\frac{1}{2}\ =\ \frac{50}{100} \kern30mm } $$

$$ \hspace*{18 mm}\mathrm{=\ 50,0\ \% \kern30mm } $$

[ VQ 2. ]
     
$$ \hspace*{6 mm}\mathrm{2.9\kern2mm\frac{3}{10}\ =\ \frac{30}{100} \kern30mm } $$

$$ \hspace*{21 mm}\mathrm{=\ 30\ \% \kern30mm } $$

[ VQ 2. ]
$$ \hspace*{13 mm}\mathrm{Write\ the\ decimal\ fractions\ as\ \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{fractions\ with\ a\ denominator\ of\ 100 \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{and\ then\ write\ it\ as\ a\ percentage. \kern30mm } $$      
$$ \hspace*{6 mm}\mathrm{2.2\kern2mm0,56\ =\ \frac{56}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ 56\ \% \kern30mm } $$
[ VQ 2. ]
     
$$ \hspace*{6 mm}\mathrm{2.4\kern2mm0,57\ =\ \frac{57}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ 57\ \% \kern30mm } $$

[ VQ 2. ]
     
$$ \hspace*{6 mm}\mathrm{2.6\kern2mm1,25\ =\ \frac{125}{100} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{=\ 125\ \% \kern30mm } $$

[ VQ 2. ]
     
$$ \hspace*{6 mm}\mathrm{2.8\kern2mm\frac{2}{5}\ =\ \frac{40}{100} \kern30mm } $$

$$ \hspace*{18 mm}\mathrm{=\ 40\ \% \kern30mm } $$

[ VQ 2. ]
     
$$ \hspace*{6 mm}\mathrm{2.10\kern2mm\frac{3}{8}\ =\ \frac{375}{1000} \kern30mm } $$

$$ \hspace*{20 mm}\mathrm{=\ \frac{37,5}{100}\ =\ 37,5\ \% \kern30mm } $$

[ VQ 2. ]
  
  
Antwoorde / Answers  3
  
     
$$ \hspace*{6 mm}\mathrm{3.1\kern2mm36\ \%\ van\ 3,26\ m\ =\ \frac{36}{100}\ \times\ 3,26\ m \kern30mm } $$

$$ \hspace*{42 mm}\mathrm{=\ 1,174\ m \kern30mm } $$
[ V 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.2\kern2mm45\ \%\ van\ 215\ punte\ =\ \frac{45}{100}\ \times\ 215 \kern30mm } $$

$$ \hspace*{47 mm}\mathrm{=\ 96,75\ punte \kern30mm } $$
[ V 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.3\kern2mm14\ \%\ van\ R\ 288,34\ =\ \frac{14}{100}\ \times\ R\ 288,34 \kern30mm } $$
$$ \hspace*{6 mm}\mathrm{3.3\kern2mm14\%\ van\ R\ 288,34\ =\ \frac{14}{100}\times\ R288,34 \kern30mm } $$
$$ \hspace*{45 mm}\mathrm{=\ R\ 40,37 \kern30mm } $$
[ V 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.4\kern2mm75\ \%\ van\ 320\ 450\ \ell\ =\ \frac{75}{100}\times320\ 450\ \ell \kern30mm } $$

$$ \hspace*{46 mm}\mathrm{=\ 240\ 337,5\ \ell \kern30mm } $$
[ V 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.5\kern2mm11\ \%\ van\ R\ 805\ 912\ =\ \frac{14}{100}\times\ R805\ 912 \kern30mm } $$

$$ \hspace*{48 mm}\mathrm{=\ R\ 88\ 650,32 \kern30mm } $$
[ V 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.6\kern2mm8\ \%\ van\ 325\ mense\ =\ \frac{8}{100}\times325\ mense \kern30mm } $$

$$ \hspace*{47 mm}\mathrm{=\ 26\ mense \kern30mm } $$
[ V 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.1\kern2mm36\ \%\ of\ 3,26\ m\ =\ \frac{36}{100}\ \times\ 3,26\ m \kern30mm } $$

$$ \hspace*{40 mm}\mathrm{=\ 1,174\ m \kern30mm } $$
[ Q 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.2\kern2mm45\ \%\ of\ 215\ marks\ =\ \frac{45}{100}\ \times\ 215 \kern30mm } $$

$$ \hspace*{47 mm}\mathrm{=\ 96,75\ marks \kern30mm } $$
[ Q 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.3\kern2mm14\ \%\ of\ R\ 288,34\ =\ \frac{14}{100}\ \times\ R\ 288,34 \kern30mm } $$
$$ \hspace*{6 mm}\mathrm{3.3\kern2mm14\%\ of\ R\ 288,3\ =\ \frac{14}{100}\times\ R288,34 \kern30mm } $$

$$ \hspace*{36 mm}\mathrm{=\ R\ 40,37 \kern30mm } $$
[ Q 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.4\kern2mm75\ \%\ of\ 320\ 450\ \ell\ =\ \frac{75}{100}\times320\ 450\ \ell \kern30mm } $$

$$ \hspace*{44 mm}\mathrm{=\ 240\ 337,5\ \ell \kern30mm } $$
[ Q 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.5\kern2mm11\ \%\ of\ R\ 805\ 912\ =\ \frac{14}{100}\times\ R805\ 912 \kern30mm } $$

$$ \hspace*{36 mm}\mathrm{=\ \frac{14}{100}\ \times\ R\ 805\ 912 \kern30mm } $$

$$ \hspace*{36 mm}\mathrm{=\ R\ 88\ 650,32 \kern30mm } $$

[ Q 3. ]
     
$$ \hspace*{6 mm}\mathrm{3.6\kern2mm8\ \%\ of\ 325\ people\ =\ \frac{8}{100}\ \times325\ people \kern30mm } $$

$$ \hspace*{36 mm}\mathrm{=\ \frac{8}{100}\ \times325\ people \kern30mm } $$

$$ \hspace*{36 mm}\mathrm{=\ 26\ people \kern30mm } $$
[ Q 3. ]
  
  
Antwoorde / Answers  444333332
  
     
$$ \hspace*{6 mm}\mathrm{4.1\kern2mmPersentasie\ =\ \frac{18}{500}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 36\ \% \kern30mm } $$
[ V 4. ]
     
$$ \hspace*{6 mm}\mathrm{4.2\kern2mmPersentasie\ =\ \frac{214}{862}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 36,427\ \% \kern30mm } $$
[ V 4. ]
     
$$ \hspace*{6 mm}\mathrm{4.3\kern2mmPersentasie\ =\ \frac{0,026}{1,197}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 2,172\ \% \kern30mm } $$
[ V 4. ]
     
$$ \hspace*{6 mm}\mathrm{4.4\kern2mmPersentasie\ =\ \frac{21,47}{78,04}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 27,512\ \% \kern30mm } $$
[ V 4. ]
     
$$ \hspace*{6 mm}\mathrm{4.5\kern2mmPersentasie\ =\ \frac{214}{2\ 240}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 9,554\ \% \kern30mm } $$
[ V 4. ]
     
$$ \hspace*{6 mm}\mathrm{4.1\kern2mmPercentage\ =\ \frac{18}{500}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 36\ \% \kern30mm } $$
[ Q 4. ]
     
$$ \hspace*{6 mm}\mathrm{4.2\kern2mmPercentage\ =\ \frac{314}{862}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 36,427\ \% \kern30mm } $$
[ Q 4. ]
     
$$ \hspace*{6 mm}\mathrm{4.3\kern2mmPercentage\ =\ \frac{0,026}{1,197}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 2,172\ \% \kern30mm } $$
[ Q 4. ]
     
$$ \hspace*{6 mm}\mathrm{4.4\kern2mmPercentage\ =\ \frac{21,47}{78,04}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 27,512\ \% \kern30mm } $$
[ Q 4. ]
     
$$ \hspace*{6 mm}\mathrm{4.5\kern2mmPercentage\ =\ \frac{214}{2\ 240}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{34 mm}\mathrm{=\ 9,554\ \% \kern30mm } $$
[ Q 4. ]
  
  
Antwoorde / Answers  5
  
     
$$ \hspace*{6 mm}\mathrm{5.1\kern2mmPersentasie\ Wisk,\ =\ \frac{26}{40}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{44 mm}\mathrm{=\ 65\ \% \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Persentasie\ Engels\ =\ \frac{42}{60}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{46 mm}\mathrm{=\ 70\ \% \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Persentasie\ Geskiedenis\ =\ \frac{21}{70}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{55 mm}\mathrm{=\ 30\ \% \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Persentasie\ Rekeningkunde\ =\ \frac{18}{45}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{60 mm}\mathrm{=\ 40\ \% \kern30mm } $$
[ V 5. ]
     
$$ \hspace*{6 mm}\mathrm{5.2\kern2mmHoogste\ punt\ =\ 70\%\ vir\ Engels. \kern30mm } $$
[ V 5. ]
     
$$ \hspace*{6 mm}\mathrm{5.3\kern2mmHy\ druip\ Geskiedenis\ want\ sy \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{punt\ van\ 30\%\ is\ laer\ as\ die \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{vereiste\ 40\%. \kern30mm } $$


[ V 5. ]
     
$$ \hspace*{6 mm}\mathrm{5.1\kern2mmPercentage\ Maths\ =\ \frac{26}{40}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{44 mm}\mathrm{=\ 65\ \% \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Percentage\ English\ =\ \frac{42}{60}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{47 mm}\mathrm{=\ 70\ \% \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Percentage\ History\ =\ \frac{21}{70}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{46 mm}\mathrm{=\ 30\ \% \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Percentage\ Accounting\ =\ \frac{18}{45}\ \times\ \frac{100}{1} \kern30mm } $$

$$ \hspace*{52 mm}\mathrm{=\ 40\ \% \kern30mm } $$
[ Q 5. ]
     
$$ \hspace*{6 mm}\mathrm{5.2\kern2mmHighest\ mark\ =\ 70\%\ for\ English \kern30mm } $$
[ Q 5. ]
     
$$ \hspace*{6 mm}\mathrm{5.3\kern2mmHe\ fails\ History\ because\ his\ mark\ of \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{30\%\ is\ below\ the\ necessary\ 40\% \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{to\ pass. \kern30mm } $$


[ Q 5. ]
  
  
Antwoorde / Answers  6
  
     
$$ \hspace*{6 mm}\mathrm{6.1\kern2mmVerkoopprys\ =\ Kosprys \kern30mm } $$ $$ \hspace*{41 mm}\mathrm{+\ Prystoevoeging \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{Prystoevoeging\ =\ 40\ \%\ van\ kosprys \kern30mm } $$

$$ \hspace*{40 mm}\mathrm{=\ R\ \frac{40}{100}\ \times\ 32 \kern30mm } $$

$$ \hspace*{40 mm}\mathrm{=\ R\ 12,80 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Verkoopprys\ =\ R\ 32\ +\ R\ 12,80 \kern30mm } $$ $$ \hspace*{35 mm}\mathrm{=\ R\ 44,80 \kern30mm } $$

[ V 6. ]
$$ \hspace*{35 mm}\mathrm{\bold O\bold F } $$
$$ \hspace*{13 mm}\mathrm{Verkoopprys\ =\ 140\ \%\ van\ kosprys \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Verkoopprys\ =\ R\ \frac{140}{100}\ \times\ 32 \kern30mm } $$

$$ \hspace*{35 mm}\mathrm{=\ R\ 44,80 \kern30mm } $$
[ V 6. ]
     
$$ \hspace*{6 mm}\mathrm{6.2\kern2mmVerkoopprys\ =\ Kosprys\ + \kern30mm } $$ $$ \hspace*{40 mm}\mathrm{prystoevoeging \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{Prystoevoeging\ =\ 40\ \%\ van\ kosprys \kern30mm } $$


$$ \hspace*{13 mm}\mathrm{Prystoevoeging\ =\ R\ \frac{40}{100}\ \times\ 185 \kern30mm } $$

$$ \hspace*{40 mm}\mathrm{=\ R\ 74,00 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Verkoopprys\ =\ R\ 185,00\ +\ 74,00 \kern30mm } $$ $$ \hspace*{35 mm}\mathrm{=\ R\ 259,00 \kern30mm } $$

[ V 6. ]
$$ \hspace*{35 mm}\mathrm{\bold O\bold F } $$
$$ \hspace*{13 mm}\mathrm{Verkoopprys\ =\ 140\ \%\ van\ kosprys \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Verkoopprys\ =\ R\ \frac{140}{100}\ \times\ 185,00 \kern30mm } $$

$$ \hspace*{35 mm}\mathrm{=\ R\ 259,00 \kern30mm } $$
[ V 6. ]
     
$$ \hspace*{6 mm}\mathrm{6.3\kern2mmVerkoopprys\ =\ 140\ \%\ van\ die\ kosprys \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{en\ dus\ is\ die\ kosprys\ =\ 100\ \%\ van \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{die\ verkoopprys \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Kosprys\ =\ R\ \frac{100}{140}\ \times\ 165 \kern30mm } $$
$$ \hspace*{31 mm}\mathrm{=\ R\ 117,86 \kern30mm } $$
[ Q 6. ]
     
$$ \hspace*{6 mm}\mathrm{6.4\kern2mmPrystoevoeging\ =\ Verkoopprys\ ─\ Kosprys \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{Prystoevoeging\ =\ R\ 650\ ─\ 420 \kern30mm } $$
$$ \hspace*{40 mm}\mathrm{=\ R\ 230 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Prystoevoeging\ as\ \%\ =\ \frac{230}{420}\ \times\ \frac{100}{1}\ \%\ \kern30mm } $$

$$ \hspace*{49 mm}\mathrm{=\ 54,762\ \% \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Nee,\ die\ prystoevoeging\ is\ groter. \kern30mm } $$
[ Q 6. ]
$$ \hspace*{36 mm}\mathrm{\bold O\bold F \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Prystoevoeging\ =\ R\ 650\ ─\ 420 \kern30mm } $$
$$ \hspace*{40 mm}\mathrm{=\ R\ 230 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Prystoevoeging\ =\ 40\ \%\ van\ die\ kosprys \kern30mm } $$
$$ \hspace*{40 mm}\mathrm{=\ \frac{40}{100}\ \times\ 420 \kern30mm } $$

$$ \hspace*{40 mm}\mathrm{=\ R\ 168 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Die\ prystoevoeging\ is\ dus\ groter. \kern30mm } $$
[ Q 6. ]
     
$$ \hspace*{6 mm}\mathrm{6.5\kern2mmAfslag\ =\ 15\ \%\ van\ die\ Verkoopprys \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Afslag\ =\ R\ \frac{15}{100}\ \times\ 450 \kern30mm } $$

$$ \hspace*{25 mm}\mathrm{=\ R\ 67,50 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Nuwe\ verkoopprys\ =\ R\ 450\ ─\ 67,50 \kern30mm } $$
$$ \hspace*{45 mm}\mathrm{=\ R\ 382,50 \kern30mm } $$
[ Q 6. ]
     
$$ \hspace*{6 mm}\mathrm{6.1\kern2mmSelling\ price\ =\ Cost\ price \kern30mm } $$ $$ \hspace*{40 mm}\mathrm{+\ mark\ up \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Mark\ up\ =\ 40\ \%\ of\ cost\ price \kern30mm } $$
$$ \hspace*{28 mm}\mathrm{=\ R\ \frac{40}{100}\ \times\ 32 \kern30mm } $$

$$ \hspace*{28 mm}\mathrm{=\ R\ 12,80 \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{Selling\ price\ =\ R\ 32\ +\ R\ 12,80 \kern30mm } $$ $$ \hspace*{35 mm}\mathrm{=\ R\ 44,80 \kern30mm } $$


[ Q 6. ]
$$ \hspace*{35 mm}\mathrm{\bold O\bold R } $$
$$ \hspace*{13 mm}\mathrm{Selling\ price\ =\ 140\ \%\ of\ cost\ price \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Selling\ price\ =\ R\ \frac{140}{100}\ \times\ 32 \kern30mm } $$

$$ \hspace*{35 mm}\mathrm{=\ R\ 44,80 \kern30mm } $$
[ Q 6. ]
     
$$ \hspace*{6 mm}\mathrm{6.2\kern2mmSelling\ price\ =\ Cost\ price \kern30mm } $$ $$ \hspace*{40 mm}\mathrm{+\ mark\ up \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Mark\ up\ =\ 40\ \%\ of\ cost\ price \kern30mm } $$
$$ \hspace*{28 mm}\mathrm{=\ R\ \frac{40}{100}\ \times\ 185 \kern30mm } $$

$$ \hspace*{28 mm}\mathrm{=\ R\ 74,00 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Selling\ price\ =\ R\ 185\ +\ R\ 74,00 \kern30mm } $$ $$ \hspace*{35 mm}\mathrm{=\ R\ 259,00 \kern30mm } $$

[ Q 6. ]
$$ \hspace*{35 mm}\mathrm{\bold O\bold R } $$
$$ \hspace*{13 mm}\mathrm{Selling\ price\ =\ 140\ \%\ of\ cost\ price \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Selling\ price\ =\ R\ \frac{140}{100}\ \times\ 185 \kern30mm } $$

$$ \hspace*{35 mm}\mathrm{=\ R\ 259,00 \kern30mm } $$
[ Q 6. ]
     
$$ \hspace*{6 mm}\mathrm{6.3\kern2mmSelling\ price\ =\ 140\ \%\ of\ the\ cost\ price \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{and\ thus\ the\ cost\ price\ =\ 100\ \%\ of\ the \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{selling\ price \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Cost\ price\ =\ R\ \frac{100}{140}\ \times\ 165 \kern30mm } $$
$$ \hspace*{31 mm}\mathrm{=\ R\ 117,86 \kern30mm } $$
[ Q 6. ]
     
$$ \hspace*{6 mm}\mathrm{6.4\kern2mmMark\ up\ =\ Selling\ price\ ─\ Cost\ price \kern30mm } $$ $$ \hspace*{13 mm}\mathrm{Mark\ up\ =\ R\ 650\ ─\ 420 \kern30mm } $$
$$ \hspace*{28 mm}\mathrm{=\ R\ 230 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Mark\ up\ as\ \%\ =\ \frac{230}{420}\ \times\ \frac{100}{1}\ \%\ \kern30mm } $$

$$ \hspace*{38 mm}\mathrm{=\ 54,762\ \% \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{No,\ the\ mark\ up\ is\ greater. \kern30mm } $$
[ Q 6. ]
$$ \hspace*{36 mm}\mathrm{\bold O\bold R \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Mark\ up\ =\ R\ 650\ ─\ 420 \kern30mm } $$
$$ \hspace*{28 mm}\mathrm{=\ R\ 230 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Mark\ up\ =\ 40\ \%\ of\ cost\ price \kern30mm } $$
$$ \hspace*{28 mm}\mathrm{=\ \frac{40}{100}\ \times\ 420 \kern30mm } $$

$$ \hspace*{28 mm}\mathrm{=\ R\ 168 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{The\ mark\ up\ is\ thus\ greater. \kern30mm } $$
[ Q 6. ]
     
$$ \hspace*{6 mm}\mathrm{6.5\kern2mmDiscount\ =\ 15\ \%\ of\ the\ Selling\ price \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Discount\ =\ R\ \frac{15}{100}\ \times\ 450 \kern30mm } $$

$$ \hspace*{28 mm}\mathrm{=\ R\ 67,50 \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{New\ Selling\ price\ =\ R\ 450\ ─\ 67,50 \kern30mm } $$
$$ \hspace*{43 mm}\mathrm{=\ R\ 382,50 \kern30mm } $$
[ Q 6. ]
  
  
Antwoorde / Answers  7
  
     
$$ \hspace*{6 mm}\mathrm{7.1\kern2mmKommissie\ =\ Kommissie\ \%\ \times\ Bedrag \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Kommissie\ =\ R\ \frac{12}{100}\ \times\ 450 \kern30mm } $$

$$ \hspace*{32 mm}\mathrm{=\ R\ 54 \kern30mm } $$ $$ \hspace*{28 mm}\mathrm{a\ =\ R\ 54 \kern30mm } $$

[ V 7. ]
     
$$ \hspace*{6 mm}\mathrm{7.2\kern2mmGestel\ Kommissie\ =\ a, } $$ $$ \hspace*{13 mm}\mathrm{Kommissie\ \%\ =\ b,\ and } $$
$$ \hspace*{13 mm}\mathrm{Bedrag\ =\ c } $$
$$ \hspace*{13 mm}\mathrm{dan\ \kern4mma\ =\ \frac{b\ \%}{100}\ \times\ \frac{c}{1} } $$

$$ \hspace*{16 mm}\mathrm{b\ \times\ c\ =\ a\ \times\ 100 \kern30mm } $$
$$ \hspace*{23 mm}\mathrm{b\ =\ \frac{a\ \times\ 100}{c} \kern30mm } $$

$$ \hspace*{23 mm}\mathrm{b\ =\ \frac{89,60\ \times\ 320}{c} \kern30mm } $$

$$ \hspace*{27 mm}\mathrm{=\ 28 \kern30mm } $$ $$ \hspace*{23 mm}\mathrm{b\ =\ 28\ \%\ \kern30mm } $$

[ V 7. ]
     
$$ \hspace*{6 mm}\mathrm{7.3\kern2mmVan\ 7.2\ hierbo\ is\ \kern3mma\ =\ \frac{b\ \%}{100}\ \times\ \frac{c}{1} } $$

$$ \hspace*{30 mm}\mathrm{b\ \times\ c\ =\ a\ \times\ 100 \kern30mm } $$
$$ \hspace*{38 mm}\mathrm{c\ =\ \frac{a\ \times\ 100}{b} \kern30mm } $$

$$ \hspace*{38 mm}\mathrm{c\ =\ \frac{5\ 061\ \times\ 100}{42} \kern30mm } $$

$$ \hspace*{42 mm}\mathrm{=\ 12\ 050 \kern30mm } $$
$$ \hspace*{25 mm}\mathrm{c\ =\ 12\ 050 \kern30mm } $$
[ V 7. ]
     
$$ \hspace*{6 mm}\mathrm{7.4\kern2mmVan\ 7.2\ hierbo\ is\ \kern3mma\ =\ \frac{b\ \%}{100}\ \times\ \frac{c}{1} } $$

$$ \hspace*{30 mm}\mathrm{b\ \times\ c\ =\ a\ \times\ 100 \kern30mm } $$
$$ \hspace*{38 mm}\mathrm{a\ =\ \frac{b\ \times\ c}{100} \kern30mm } $$

$$ \hspace*{38 mm}\mathrm{a\ =\ \frac{3,5\ \times\ 450\ 650}{100} \kern30mm } $$

$$ \hspace*{42 mm}\mathrm{=\ 15\ 772,75 \kern30mm } $$
$$ \hspace*{25 mm}\mathrm{d\ =\ R\ 15\ 772,75 \kern30mm } $$
[ V 7. ]
     
$$ \hspace*{6 mm}\mathrm{7.5\kern2mmVan\ 7.2\ hierbo\ is\ \kern3mma\ =\ \frac{b\ \%}{100}\ \times\ \frac{c}{1} } $$

$$ \hspace*{30 mm}\mathrm{b\ \times\ c\ =\ a\ \times\ 100 \kern30mm } $$
$$ \hspace*{38 mm}\mathrm{b\ =\ \frac{a\ \times\ 100}{c} \kern30mm } $$

$$ \hspace*{38 mm}\mathrm{b\ =\ \frac{73\ 394,75\ \times\ 100}{965\ 720} \kern30mm } $$

$$ \hspace*{42 mm}\mathrm{=\ 7,6 \kern30mm } $$
$$ \hspace*{25 mm}\mathrm{d\ =\ 7,6\ \% \kern30mm } $$
[ V 7. ]
     
$$ \hspace*{6 mm}\mathrm{7.1\kern2mmCommission\ =\ Commission\ \%\ \times\ Amount \kern30mm } $$
$$ \hspace*{13 mm}\mathrm{Commission\ =\ R\ \frac{12}{100}\ \times\ 450 \kern30mm } $$

$$ \hspace*{35 mm}\mathrm{=\ R\ 54 \kern30mm } $$ $$ \hspace*{31 mm}\mathrm{a\ =\ R\ 54 \kern30mm } $$

[ Q 7. ]
     
$$ \hspace*{6 mm}\mathrm{7.2\kern2mmLet\ Commission\ =\ a, } $$ $$ \hspace*{13 mm}\mathrm{Commission\ \%\ =\ b,\ and } $$
$$ \hspace*{13 mm}\mathrm{Amount\ =\ c } $$
$$ \hspace*{13 mm}\mathrm{then\ \kern4mma\ =\ \frac{b\ \%}{100}\ \times\ \frac{c}{1} } $$

$$ \hspace*{18 mm}\mathrm{b\ \times\ c\ =\ a\ \times\ 100 \kern30mm } $$
$$ \hspace*{25 mm}\mathrm{b\ =\ \frac{a\ \times\ 100}{c} \kern30mm } $$

$$ \hspace*{25 mm}\mathrm{b\ =\ \frac{89,60\ \times\ 320}{c} \kern30mm } $$

$$ \hspace*{29 mm}\mathrm{=\ 28 \kern30mm } $$ $$ \hspace*{25 mm}\mathrm{b\ =\ 28\ \%\ \kern30mm } $$

[ Q 7. ]
     
$$ \hspace*{6 mm}\mathrm{7.3\kern2mmFrom\ 7.2\ above\ \kern3mma\ =\ \frac{b\ \%}{100}\ \times\ \frac{c}{1} } $$

$$ \hspace*{30 mm}\mathrm{b\ \times\ c\ =\ a\ \times\ 100 \kern30mm } $$
$$ \hspace*{38 mm}\mathrm{c\ =\ \frac{a\ \times\ 100}{b} \kern30mm } $$

$$ \hspace*{38 mm}\mathrm{c\ =\ \frac{5\ 061\ \times\ 100}{42} \kern30mm } $$

$$ \hspace*{42 mm}\mathrm{=\ 12\ 050 \kern30mm } $$
$$ \hspace*{25 mm}\mathrm{c\ =\ 12\ 050 \kern30mm } $$
[ Q 7. ]
     
$$ \hspace*{6 mm}\mathrm{7.4\kern2mmFrom\ 7.2\ above\ \kern3mma\ =\ \frac{b\ \%}{100}\ \times\ \frac{c}{1} } $$

$$ \hspace*{30 mm}\mathrm{b\ \times\ c\ =\ a\ \times\ 100 \kern30mm } $$
$$ \hspace*{38 mm}\mathrm{a\ =\ \frac{b\ \times\ c}{100} \kern30mm } $$

$$ \hspace*{38 mm}\mathrm{a\ =\ \frac{3,5\ \times\ 450\ 650}{100} \kern30mm } $$

$$ \hspace*{42 mm}\mathrm{=\ 15\ 772,75 \kern30mm } $$
$$ \hspace*{25 mm}\mathrm{d\ =\ R\ 15\ 772,75 \kern30mm } $$
[ Q 7. ]
     
$$ \hspace*{6 mm}\mathrm{7.5\kern2mmFrom\ 7.2\ above\ \kern3mma\ =\ \frac{b\ \%}{100}\ \times\ \frac{c}{1} } $$

$$ \hspace*{30 mm}\mathrm{b\ \times\ c\ =\ a\ \times\ 100 \kern30mm } $$
$$ \hspace*{38 mm}\mathrm{b\ =\ \frac{a\ \times\ 100}{c} \kern30mm } $$

$$ \hspace*{38 mm}\mathrm{b\ =\ \frac{73\ 394,75\ \times\ 100}{965\ 720} \kern30mm } $$

$$ \hspace*{42 mm}\mathrm{=\ 7,6 \kern30mm } $$
$$ \hspace*{25 mm}\mathrm{d\ =\ 7,6\ \% \kern30mm } $$
[ Q 7. ]