{"id":782,"date":"2026-01-24T18:54:10","date_gmt":"2026-01-24T18:54:10","guid":{"rendered":"https:\/\/bliv-klogere.dk\/?page_id=782"},"modified":"2026-02-05T16:11:03","modified_gmt":"2026-02-05T16:11:03","slug":"1-kobmandsregning-med-procenter-estimater-og-kommaer","status":"publish","type":"page","link":"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/","title":{"rendered":"1. K\u00f8bmandsregning med procenter, estimater og kommaer"},"content":{"rendered":"\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Indholdsfortegnelse<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/#1_Teorien_kan_du_i_forvejen_%E2%80%A6\" >1. Teorien kan du i forvejen &#8230;<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/#Opgaver\" >Opgaver<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/#11_Regnekryds\" >1.1 Regnekryds<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/#12_Gange_med_kommatal\" >1.2 Gange med kommatal<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/#13_Procentregning\" >1.3 Procentregning<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/#14_Procentregning_med_multiple_choice\" >1.4 Procentregning med multiple choice<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/#15_Vigtig_opgave_Tidl_Eksamensopgave_med_Excel\" >1.5 Vigtig opgave. Tidl. Eksamensopgave med Excel&nbsp;<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Teorien_kan_du_i_forvejen_%E2%80%A6\"><\/span>1. Teorien kan du i forvejen &#8230;<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">&#8230; s\u00e5 vi g\u00e5r direkte til opgaverne.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Opgaver\"><\/span>Opgaver<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Download opgaverne her:<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-a9a24c8d-2ea1-4a0b-bfd9-0a0cd9fe950a\" href=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/Regnekryds-niveau-2-til-download.docx\">Regnekryds niveau 2 til download<\/a><a href=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/Regnekryds-niveau-2-til-download.docx\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-a9a24c8d-2ea1-4a0b-bfd9-0a0cd9fe950a\">Download<\/a><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"11_Regnekryds\"><\/span>1.1 Regnekryds<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Plus<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"403\" height=\"581\" src=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-253.png\" alt=\"\" class=\"wp-image-783\" srcset=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-253.png 403w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-253-208x300.png 208w\" sizes=\"auto, (max-width: 403px) 100vw, 403px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Minus<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"477\" height=\"653\" src=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-254.png\" alt=\"\" class=\"wp-image-784\" srcset=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-254.png 477w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-254-219x300.png 219w\" sizes=\"auto, (max-width: 477px) 100vw, 477px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Plus og minus<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"481\" height=\"659\" src=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-255.png\" alt=\"\" class=\"wp-image-788\" style=\"width:481px;height:auto\" srcset=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-255.png 481w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-255-219x300.png 219w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Gange<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"476\" height=\"662\" src=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-256.png\" alt=\"\" class=\"wp-image-789\" srcset=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-256.png 476w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-256-216x300.png 216w\" sizes=\"auto, (max-width: 476px) 100vw, 476px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Dividere<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"475\" height=\"659\" src=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-257.png\" alt=\"\" class=\"wp-image-790\" srcset=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-257.png 475w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-257-216x300.png 216w\" sizes=\"auto, (max-width: 475px) 100vw, 475px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"12_Gange_med_kommatal\"><\/span>1.2 Gange med kommatal<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Tal 1&nbsp;<\/strong><\/td><td>\u202f&nbsp;<\/td><td><strong>Tal 2&nbsp;<\/strong><\/td><td>\u202f&nbsp;<\/td><td><strong>F\u00f8rst et overslag&nbsp;<\/strong><\/td><td><strong>S\u00e5 selve resultatet&nbsp;<\/strong><\/td><\/tr><tr><td>68,25&nbsp;<\/td><td>*&nbsp;<\/td><td>42,20&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>69&nbsp;<\/td><td>*&nbsp;<\/td><td>92,331&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>37,8&nbsp;<\/td><td>*&nbsp;<\/td><td>37,93&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>55,4&nbsp;<\/td><td>*&nbsp;<\/td><td>90,52&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>2,66&nbsp;<\/td><td>*&nbsp;<\/td><td>24,15&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>61,27&nbsp;<\/td><td>*&nbsp;<\/td><td>95,50&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>48,96&nbsp;<\/td><td>*&nbsp;<\/td><td>91,27&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>62,1&nbsp;<\/td><td>*&nbsp;<\/td><td>37,77&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>39&nbsp;<\/td><td>*&nbsp;<\/td><td>59,14&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>31,86&nbsp;<\/td><td>*&nbsp;<\/td><td>92,10&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>70,61&nbsp;<\/td><td>*&nbsp;<\/td><td>2,94&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>39,81&nbsp;<\/td><td>*&nbsp;<\/td><td>95,37&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>97,5&nbsp;<\/td><td>*&nbsp;<\/td><td>21,79&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>84,72&nbsp;<\/td><td>*&nbsp;<\/td><td>38,40&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>12,50&nbsp;<\/td><td>*&nbsp;<\/td><td>42,49&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>31,0&nbsp;<\/td><td>*&nbsp;<\/td><td>15,73&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>51,9&nbsp;<\/td><td>*&nbsp;<\/td><td>83,53&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>64,95&nbsp;<\/td><td>*&nbsp;<\/td><td>65,20&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>32,46&nbsp;<\/td><td>*&nbsp;<\/td><td>32,84&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>71,21&nbsp;<\/td><td>*&nbsp;<\/td><td>82,62&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>99,12&nbsp;<\/td><td>*&nbsp;<\/td><td>92,54&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>58,6&nbsp;<\/td><td>*&nbsp;<\/td><td>90,28&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>60,58&nbsp;<\/td><td>*&nbsp;<\/td><td>67,65&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>45,1&nbsp;<\/td><td>*&nbsp;<\/td><td>86,04&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>27,75&nbsp;<\/td><td>*&nbsp;<\/td><td>36,64&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>73,07&nbsp;<\/td><td>*&nbsp;<\/td><td>17,44&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>456,78&nbsp;<\/td><td>*&nbsp;<\/td><td>53,33&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>1.234,02&nbsp;<\/td><td>*&nbsp;<\/td><td>507,4&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>5.343,250&nbsp;<\/td><td>*&nbsp;<\/td><td>3,45&nbsp;<\/td><td>=&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"13_Procentregning\"><\/span>1.3 Procentregning<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Her er en r\u00e6kke mindre opgaver.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ekstra: Hvis du savner en udfordring, s\u00e5 pr\u00f8v f\u00f8rst at l\u00f8se opgaverne i h\u00e5nden. Herefter l\u00f8s opgaverne i Excel. Dvs. at du f\u00e5r Excel til at udregne svarene.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Find procenten<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Beregn:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Hvor mange procent er 55 ud af 250?&nbsp;<\/li>\n\n\n\n<li>Hvor mange procent er 17 ud af 150?&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Her er en r\u00e6kke priser inklusiv moms. Find varens pris eks. moms&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Varepris inkl. moms<\/strong>&nbsp;<\/td><td><strong>Moms<\/strong>&nbsp;<\/td><td><strong>Pris eksl. moms<\/strong>&nbsp;<\/td><\/tr><tr><td>233,35&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>250,00&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>555,55&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>10.350,23&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>100.000,00&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Let procentregning&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Beregn 20 % af 150&nbsp;<\/li>\n\n\n\n<li>Beregn 12,5 % af 400&nbsp;<\/li>\n\n\n\n<li>Hvad er 8 % af 250?&nbsp;<\/li>\n\n\n\n<li>En bog koster 200 kr. Den s\u00e6ttes ned med 10 %. Hvad er den nye pris?&nbsp;<\/li>\n\n\n\n<li>I en klasse er der 20 elever. 25 % er frav\u00e6rende. Hvor mange elever er til stede?&nbsp;<\/li>\n\n\n\n<li>En vare koster 600 kr. Prisen stiger med 5 %. Hvad bliver den nye pris?&nbsp;<\/li>\n\n\n\n<li>30 % af et tal er 90. Hvad er tallet?&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Middel niveau<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Beregn 7,5 % af 1.200&nbsp;<\/li>\n\n\n\n<li>En jakke koster 800 kr. Den s\u00e6ttes ned med 15 % og derefter yderligere 10 %. Hvad bliver den endelige pris?&nbsp;<\/li>\n\n\n\n<li>Et bel\u00f8b p\u00e5 5.000 kr. stiger med 4 % p\u00e5 \u00e9t \u00e5r. Hvor meget stiger bel\u00f8bet med, og hvad bliver det nye bel\u00f8b?&nbsp;<\/li>\n\n\n\n<li>En vare koster 960 kr. Efter en rabat p\u00e5 20 % koster den 768 kr. Kontroller ved beregning&nbsp;<\/li>\n\n\n\n<li>18 % af et tal er 144. Bestem hele tallet&nbsp;<\/li>\n\n\n\n<li>Antallet af elever p\u00e5 en skole er 600. Elevtallet falder med 8 %. Hvor mange elever er der efter faldet?&nbsp;<\/li>\n\n\n\n<li>Et tal \u00f8ges med 25 % og bliver 500. Hvad var tallet f\u00f8r stigningen?&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. Sv\u00e6rt niveau<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>En cykel koster 4.000 kr. Den s\u00e6ttes ned med 20 %. Hvor meget skal prisen derefter stige i procent for at blive 4.000 kr. igen?&nbsp;<\/li>\n\n\n\n<li>Et bel\u00f8b p\u00e5 8.000 kr. stiger med 3 % det f\u00f8rste \u00e5r og 5 % det n\u00e6ste \u00e5r. Hvad er bel\u00f8bet v\u00e6rd efter to \u00e5r?&nbsp;<\/li>\n\n\n\n<li>En vare falder med 30 % og koster derefter 420 kr. Hvad var den oprindelige pris?&nbsp;<\/li>\n\n\n\n<li>Et tal reduceres med 15 % og derefter med yderligere 10 %. Bestem den samlede procentvise \u00e6ndring&nbsp;<\/li>\n\n\n\n<li>Prisen p\u00e5 en vare s\u00e6ttes f\u00f8rst ned med 10 % og derefter op med 10 %. Forklar ved beregning, hvorfor prisen ikke bliver den samme som f\u00f8r&nbsp;<\/li>\n\n\n\n<li>En l\u00f8n p\u00e5 32.000 kr. stiger med 3,75 %. Hvor meget stiger l\u00f8nnen med, og hvad bliver den nye l\u00f8n?&nbsp;<\/li>\n\n\n\n<li>Du l\u00e5ner 1.000.000 i banken til at bygge hus for. Renten er 4% pr. \u00e5r. De f\u00f8rste 5 \u00e5r betaler du ikke noget tilbage p\u00e5 l\u00e5net. Hvor mange penge skylder du efter de 5 \u00e5r?&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"14_Procentregning_med_multiple_choice\"><\/span>1.4 Procentregning med multiple choice<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Svarene p\u00e5 opgaverne st\u00e5r nederst&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Hvad er 20 % af 250?<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 40&nbsp;<\/li>\n\n\n\n<li>b) 50&nbsp;<\/li>\n\n\n\n<li>c) 75&nbsp;<\/li>\n\n\n\n<li>d) 100&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. En vare koster 400 kr. og s\u00e6ttes ned med 25 %. Hvad er den nye pris?<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 250 kr.&nbsp;<\/li>\n\n\n\n<li>b) 300 kr.&nbsp;<\/li>\n\n\n\n<li>c) 320 kr.&nbsp;<\/li>\n\n\n\n<li>d) 350 kr.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Hvad er 7,5 % af 800?&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 45&nbsp;<\/li>\n\n\n\n<li>b) 50&nbsp;<\/li>\n\n\n\n<li>c) 60&nbsp;<\/li>\n\n\n\n<li>d) 65&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Opgave 4. 30 % af et tal er 120. Hvad er tallet?<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 360&nbsp;<\/li>\n\n\n\n<li>b) 400&nbsp;<\/li>\n\n\n\n<li>c) 480&nbsp;<\/li>\n\n\n\n<li>d) 520&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>5. En cykel koster 2.000 kr. Prisen stiger med 10 %. Hvad bliver den nye pris?<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 2.020 kr.&nbsp;<\/li>\n\n\n\n<li>b) 2.100 kr.&nbsp;<\/li>\n\n\n\n<li>c) 2.200 kr.&nbsp;<\/li>\n\n\n\n<li>d) 2.300 kr.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>6. Et bel\u00f8b p\u00e5 5.000 kr. stiger med 4 % det f\u00f8rste \u00e5r og 6 % det n\u00e6ste \u00e5r. Hvad er bel\u00f8bet efter to \u00e5r?<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 5.400 kr.&nbsp;<\/li>\n\n\n\n<li>b) 5.512 kr.&nbsp;<\/li>\n\n\n\n<li>c) 5.600 kr.&nbsp;<\/li>\n\n\n\n<li>d) 5.720 kr.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>7. En vare s\u00e6ttes f\u00f8rst ned med 20 % og derefter op med 20 %. Hvad g\u00e6lder?<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) Prisen er u\u00e6ndret&nbsp;<\/li>\n\n\n\n<li>b) Prisen er h\u00f8jere end f\u00f8r&nbsp;<\/li>\n\n\n\n<li>c) Prisen er lavere end f\u00f8r&nbsp;<\/li>\n\n\n\n<li>d) Det kan ikke afg\u00f8res&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>8. En tr\u00f8je koster 600 kr. Efter rabat koster den 450 kr. Hvor stor er rabatten i procent?&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 20 %&nbsp;<\/li>\n\n\n\n<li>b) 25 %&nbsp;<\/li>\n\n\n\n<li>c) 30 %&nbsp;<\/li>\n\n\n\n<li>d) 35 %&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>9. Et tal \u00f8ges med 25 % og bliver 750. Hvad var tallet f\u00f8r stigningen?&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 560&nbsp;<\/li>\n\n\n\n<li>b) 600&nbsp;<\/li>\n\n\n\n<li>c) 650&nbsp;<\/li>\n\n\n\n<li>d) 700&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>10. Et tal reduceres med 15 % og derefter med yderligere 10 %. Hvad er den samlede procentvise reduktion?&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 25 %&nbsp;<\/li>\n\n\n\n<li>b) 23,5 %&nbsp;<\/li>\n\n\n\n<li>c) 22 %&nbsp;<\/li>\n\n\n\n<li>d) 20 %&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Svar:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1:b, 2:b, 3:c, 4:b, 5:c, 6:b, 7:c, 8:c, 9:b, 10:b&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"15_Vigtig_opgave_Tidl_Eksamensopgave_med_Excel\"><\/span>1.5 Vigtig opgave. Tidl. Eksamensopgave med Excel&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Indtast evt opgaven her i Excel. Alternativt download opgaven i Excel herunder<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-974b6cdd-426c-4732-b6bc-9c90a3f63096\" href=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/Skiopgave.xlsx\">Skiopgave<\/a><a href=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/Skiopgave.xlsx\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-974b6cdd-426c-4732-b6bc-9c90a3f63096\">Download<\/a><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"771\" height=\"490\" src=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-258.png\" alt=\"\" class=\"wp-image-797\" srcset=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-258.png 771w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-258-300x191.png 300w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-258-768x488.png 768w\" sizes=\"auto, (max-width: 771px) 100vw, 771px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"570\" height=\"622\" src=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-259.png\" alt=\"\" class=\"wp-image-798\" srcset=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-259.png 570w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-259-275x300.png 275w\" sizes=\"auto, (max-width: 570px) 100vw, 570px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/\">toppen af siden<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Teorien kan du i forvejen &#8230; &#8230; s\u00e5 vi g\u00e5r direkte til opgaverne. Link til toppen af siden. Opgaver Download opgaverne her: 1.1 Regnekryds Plus Minus Plus og minus Gange Dividere Link til toppen af siden. 1.2 Gange med kommatal Tal 1&nbsp; \u202f&nbsp; Tal 2&nbsp; \u202f&nbsp; F\u00f8rst et overslag&nbsp; S\u00e5 selve resultatet&nbsp; 68,25&nbsp; *&nbsp; &hellip; <a href=\"https:\/\/bliv-klogere.dk\/index.php\/1-kobmandsregning-med-procenter-estimater-og-kommaer\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">1. K\u00f8bmandsregning med procenter, estimater og kommaer<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-782","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages\/782","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/comments?post=782"}],"version-history":[{"count":12,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages\/782\/revisions"}],"predecessor-version":[{"id":1374,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages\/782\/revisions\/1374"}],"wp:attachment":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/media?parent=782"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}