{"id":215,"date":"2022-04-12T12:33:31","date_gmt":"2022-04-12T12:33:31","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=215"},"modified":"2025-12-03T13:35:02","modified_gmt":"2025-12-03T13:35:02","slug":"j-10-percent-of-change","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/j-10-percent-of-change\/","title":{"rendered":"J.10 Percent of change"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Percent of change<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-26380f2117dd1a45640a8ebc11c75e45\" style=\"color:#74008b\"><strong>key notes :<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Percent of Change \ud83d\udcca\u2728<\/strong><\/h3>\n\n\n\n<p class=\"has-large-font-size\"><strong>What is Percent of Change? \ud83e\udd14<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>It tells us <strong>how much a quantity has increased or decreased<\/strong> in terms of percent.<\/li>\n\n\n\n<li>Example: Prices go up \ud83d\udcb0 or down \u2b07\ufe0f, population grows \ud83c\udf31, scores change \ud83c\udfc6.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\"><\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\"><strong>Types of Change \ud83d\udd04<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Percent Increase \ud83d\udcc8<\/strong>: When the new value is <strong>more than<\/strong> the original value.<\/li>\n\n\n\n<li><strong>Percent Decrease \ud83d\udcc9<\/strong>: When the new value is <strong>less than<\/strong> the original value.<\/li>\n<\/ul>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\"><\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\"><strong>Formula for Percent of Change \ud83d\udcdd<\/strong><\/p>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\"><\/ol>\n\n\n\n<p><strong>Percent\u00a0of\u00a0Change = New\u00a0Value\u00a0&#8211;\u00a0Original\u00a0Value \/ Original\u00a0Value\u00d7100<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If result is <strong>positive \u2795<\/strong>, it\u2019s a <strong>percent increase<\/strong>.<\/li>\n\n\n\n<li>If result is <strong>negative \u2796<\/strong>, it\u2019s a <strong>percent decrease<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\"><strong>Step by Step Method \ud83e\udde9<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Find the <strong>difference<\/strong>: New\u00a0Value\u00a0&#8211;\u00a0Original\u00a0Value<\/li>\n\n\n\n<li><strong>Divide<\/strong> the difference by the <strong>Original Value<\/strong><\/li>\n\n\n\n<li><strong>Multiply by 100<\/strong> to get the <strong>percent<\/strong><\/li>\n\n\n\n<li>Add <strong>% sign<\/strong> \u2705<\/li>\n<\/ol>\n\n\n\n<ol start=\"4\" class=\"wp-block-list\"><\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\"><strong>Quick Tips \u26a1<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always compare <strong>to the original value<\/strong>, not the new value.<\/li>\n\n\n\n<li>Use a <strong>positive sign for increase<\/strong> and <strong>negative for decrease<\/strong>.<\/li>\n\n\n\n<li>Check your answer: percent cannot exceed 100% in normal cases unless it doubles or more.<\/li>\n<\/ul>\n\n\n\n<ol start=\"5\" class=\"wp-block-list\"><\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\"><strong>Examples \ud83e\uddee<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Original price: \u20b9200 \u2192 New price: \u20b9250<\/li>\n<\/ul>\n\n\n\n<p> \\text{Percent Increase} = \\frac{250-200}{200} \\times 100 = 25\\% \\] \u2705<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Original marks: 80 \u2192 New marks: 60<\/li>\n<\/ul>\n\n\n\n<p> \\text{Percent Decrease} = \\frac{60-80}{80} \\times 100 = -25\\% \\] \u2705<\/p>\n\n\n\n<ol start=\"6\" class=\"wp-block-list\"><\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\"><strong>Emojis to Remember \ud83d\ude0e<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udcc8 = Increase<\/li>\n\n\n\n<li>\ud83d\udcc9 = Decrease<\/li>\n\n\n\n<li>\ud83d\udcaf = Percent<\/li>\n\n\n\n<li>\u2728 = Important formula<\/li>\n<\/ul>\n\n\n\n<ol start=\"7\" class=\"wp-block-list\"><\/ol>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-link-color has-large-font-size wp-elements-d6f4faa27bcd9d09ee4b30611916862a\" style=\"background-color:#190505\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-d1aefe39b72e9948786361e88d2acb98\" style=\"color:#b00012\"><strong>What is the percent of change from 7,000 to 700?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>1.) 84% decrease<\/strong><\/li>\n\n\n\n<li><strong>2.)90% increase<\/strong><\/li>\n\n\n\n<li><strong>3.) 90% decrease<\/strong><\/li>\n\n\n\n<li><strong>4.) 84% increase<\/strong><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Plug 7,000 and 700 into the formula for percent of change and simplify.<\/p>\n\n\n\n<p>percent of change= amount of change\/original amount<\/p>\n\n\n\n<p>                             =7000-700\/7000<\/p>\n\n\n\n<p>                             =6300\/7000<\/p>\n\n\n\n<p>                             =0.9<\/p>\n\n\n\n<p>Write the number as a percent.<\/p>\n\n\n\n<p>0.9&nbsp;\u2192&nbsp;90%<\/p>\n\n\n\n<p>Finally, figure out whether the percent of change is an increase or decrease. Since the number goes down from 7,000 to 700, it is a decrease.<\/p>\n\n\n\n<p>The percent of change is a 90% decrease.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-link-color has-large-font-size wp-elements-ee35bf3a01386bc416029faf5f984e63\" style=\"background-color:#02010c\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-62eb1a334d67d53803d0015e7fd81b86\" style=\"color:#b00012\"><strong>What is the percent of change from 14 to 21?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>1.) 50% increase<\/strong><\/li>\n\n\n\n<li><strong>2.) 52% increase<\/strong><\/li>\n\n\n\n<li><strong>3.) 50% decrease<\/strong><\/li>\n\n\n\n<li><strong>4.) 52% decrease<\/strong><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Plug 14 and 21 into the formula for percent of change and simplify.<\/p>\n\n\n\n<p>percent of change= amount of change\/original amount<\/p>\n\n\n\n<p>                             =21-14\/14<\/p>\n\n\n\n<p>                             =7\/14<\/p>\n\n\n\n<p>                             =0.5<\/p>\n\n\n\n<p>Write the number as a percent.<\/p>\n\n\n\n<p>0.5&nbsp;\u2192&nbsp;50%<\/p>\n\n\n\n<p>Finally, figure out whether the percent of change is an increase or decrease. Since the number goes up from 14 to 21, it is an increase.<\/p>\n\n\n\n<p>The percent of change is a 50% increase.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-link-color has-large-font-size wp-elements-aa2c84c570a796be4c7684f31de3a400\" style=\"background-color:#190606\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-f5c7a6355de508822b71145d716b4abb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-496a67acbb363c659e89a7d4cac9106e\" style=\"color:#b00012\"><strong>What is the percent of change from 80 to 16?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1) 80% decreases<\/li>\n\n\n\n<li>2) 80%  increases<\/li>\n\n\n\n<li>3) 76% increases<\/li>\n\n\n\n<li>4) 76% decreases<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Plug 80 and 16 into the formula for percent of change and simplify.<\/p>\n\n\n\n<p>percent of change= amount of change\/original amount<\/p>\n\n\n\n<p>                             =80-16\/16<\/p>\n\n\n\n<p>                             =64\/16<\/p>\n\n\n\n<p>                             =0.8<\/p>\n\n\n\n<p>Write the number as a percent.<\/p>\n\n\n\n<p>0.8&nbsp;\u2192&nbsp;80%<\/p>\n\n\n\n<p>Finally, figure out whether the percent of change is an increase or decrease. Since the number goes down from 80 to 16, it is a decrease.<\/p>\n\n\n\n<p>The percent of change is an 80% decrease.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#d90000\"><strong>let&#8217;s practice!<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/63494\/616\/437\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-16.png\" alt=\"\" class=\"wp-image-8468\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-16.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-16-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-16-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/31677\/924\/656\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-16.png\" alt=\"\" class=\"wp-image-8469\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-16.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-16-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-16-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Percent of change key notes : Percent of Change \ud83d\udcca\u2728 What is Percent of Change? \ud83e\udd14 Types of Change \ud83d\udd04 Formula for Percent of Change \ud83d\udcdd Percent\u00a0of\u00a0Change = New\u00a0Value\u00a0&#8211;\u00a0Original\u00a0Value \/ Original\u00a0Value\u00d7100 Step by Step Method \ud83e\udde9 Quick Tips \u26a1 Examples \ud83e\uddee \\text{Percent Increase} = \\frac{250-200}{200} \\times 100 = 25\\% \\] \u2705 \\text{Percent Decrease} = \\frac{60-80}{80}<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/j-10-percent-of-change\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.10 Percent of change&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-215","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/215","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=215"}],"version-history":[{"count":12,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/215\/revisions"}],"predecessor-version":[{"id":22423,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/215\/revisions\/22423"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}