{"id":217,"date":"2022-04-12T12:34:26","date_gmt":"2022-04-12T12:34:26","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=217"},"modified":"2025-12-04T11:56:41","modified_gmt":"2025-12-04T11:56:41","slug":"j-11-percent-of-change-word-problems","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/j-11-percent-of-change-word-problems\/","title":{"rendered":"J.11 Percent of change: word problems"},"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: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-869a5c0b6b78055316c8d0186252dcbd\" style=\"color:#74008b\"><strong>key notes :<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>What is Percent of Change?<\/strong><\/h2>\n\n\n\n<p>Percent of change tells us <strong>how much a value increases or decreases<\/strong> compared to the original amount.<br>It includes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Percent Increase<\/strong> \ud83d\udcc8<\/li>\n\n\n\n<li><strong>Percent Decrease<\/strong> \ud83d\udcc9<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83e\uddee <strong>Formula to Find Percent of Change<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2714\ufe0f <strong>Percent of Change =<\/strong><\/h3>\n\n\n\n<p class=\"has-text-align-center\"><strong>New\u00a0Value\u00a0\u2013\u00a0Original\u00a0Value \/ Original\u00a0Value \u00d7 100<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 If the answer is <strong>positive \u2192 Percent Increase<\/strong><\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 If the answer is <strong>negative \u2192 Percent Decrease<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udcc8 <strong>Percent Increase<\/strong><\/h2>\n\n\n\n<p>Used when the value <strong>goes up<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example:<\/h3>\n\n\n\n<p>A book cost \u20b9200 and now costs \u20b9250.<br>Increase = 250 \u2212 200 = 50<br>Percent increase = 50 \/ 200 \u00d7 100 = 25% \ud83c\udf89<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udcc9 <strong>Percent Decrease<\/strong><\/h2>\n\n\n\n<p>Used when the value <strong>goes down<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example:<\/h3>\n\n\n\n<p>A shirt price was \u20b9500 and now it is \u20b9400.<br>Decrease = 500 \u2212 400 = 100<br>Percent decrease = 100 \/ 500 \u00d7 100 = 20% \ud83e\ude99<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83c\udfc1 <strong>Steps to Solve Word Problems<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">Step 1: Identify <strong>original value<\/strong> and <strong>new value<\/strong> \ud83e\uddd0<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">Step 2: Find the <strong>difference<\/strong> (increase or decrease)<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">Step 3: Use the <strong>percent of change formula<\/strong><\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">Step 4: Label answer as <strong>increase<\/strong> or <strong>decrease<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udca1 <strong>Keywords to Watch in Word Problems<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Increased by<\/strong><\/li>\n\n\n\n<li><strong>Decreased by<\/strong><\/li>\n\n\n\n<li><strong>Discount<\/strong><\/li>\n\n\n\n<li><strong>Marked up<\/strong><\/li>\n\n\n\n<li><strong>Reduced to<\/strong><\/li>\n\n\n\n<li><strong>Profit\/Loss<\/strong><\/li>\n\n\n\n<li><strong>Grew\/Shrank<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83e\udde0 <strong>Tips to Remember<\/strong><\/h2>\n\n\n\n<p>\u2728 Always divide by the <strong>original value<\/strong><br>\u2728 Round answers to the nearest whole number when needed<br>\u2728 Use units like <strong>% increase<\/strong> or <strong>% decrease<\/strong><\/p>\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 has-large-font-size\" style=\"background-color:#f4dcdc\"><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-4a7da67f1b89379f5b12fa91f7deaf20\" style=\"color:#b00012\">\ud83d\ude00 Toby&nbsp;enjoys taking part in races and keeps track of all of his finishing times. At a race last month, he finished in&nbsp;350&nbsp;minutes. Yesterday, he completed another race and finished in&nbsp;315&nbsp;minutes. What is the decrease in Toby&#8217;s finishing&nbsp;time?&#8212;&#8212;%.<\/p>\n<\/div><\/div>\n\n\n\n<p>Plug&nbsp;350&nbsp;minutes and&nbsp;315&nbsp;minutes into the formula for percent of change and&nbsp;simplify.<\/p>\n\n\n\n<p>percent of change=amount of change\/original amount<\/p>\n\n\n\n<p>                            =350-315\/350<\/p>\n\n\n\n<p>                            =35\/350<\/p>\n\n\n\n<p>                           =0.1<\/p>\n\n\n\n<p>Write&nbsp;the number as a&nbsp;percent.<\/p>\n\n\n\n<p>0.1&#8211;&gt;10%<\/p>\n\n\n\n<p>The&nbsp;percent of decrease in Toby&#8217;s finishing time is&nbsp;10%.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c6d3ea\"><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-8e39f25eaf749eb3ae5df0fc9a556b28\" style=\"color:#b00012\">\ud83d\ude00 A&nbsp;mountain on a tropical island experiences changes in height due to volcanic activity. When the mountain was last measured, its height was&nbsp;2,820&nbsp;metres. Now is&nbsp;3,384&nbsp;metres. What is the percent of increase in the height of the&nbsp;mountain?&#8212;&#8212;%.<\/p>\n<\/div><\/div>\n\n\n\n<p>Plug&nbsp;2,820&nbsp;metres and&nbsp;3,384&nbsp;metres into the formula for percent of change and&nbsp;simplify.<\/p>\n\n\n\n<p>percent of change=amount of change\/original amount<\/p>\n\n\n\n<p>                            =3384-2820\/2820<\/p>\n\n\n\n<p>                            =564\/2820<\/p>\n\n\n\n<p>                           =0.2<\/p>\n\n\n\n<p>Write&nbsp;the number as a&nbsp;percent.<\/p>\n\n\n\n<p>0.2&#8211;&gt;20%<\/p>\n\n\n\n<p>The&nbsp;percent of increase in the height of the mountain is&nbsp;20%.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#eddada\"><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-0c8ad87c6da62497ff9d2a669123e6ae\" style=\"color:#b00012\">\ud83d\ude00 During&nbsp;summer holiday, Dorothy read, on average,&nbsp;35&nbsp;pages per night. Once she returned to school, she averaged&nbsp;7&nbsp;pages per night. What is the percent of decrease in Dorothy&#8217;s&nbsp;reading?&#8212;&#8211;%.<\/p>\n<\/div><\/div>\n\n\n\n<p>Plug&nbsp;35&nbsp;pages and&nbsp;7&nbsp;pages into the formula for percent of change and&nbsp;simplify.<\/p>\n\n\n\n<p>percent of change=amount of change\/original amount<\/p>\n\n\n\n<p>                            =35-7\/35<\/p>\n\n\n\n<p>                            =28\/35<\/p>\n\n\n\n<p>                           =0.8<\/p>\n\n\n\n<p>Write&nbsp;the number as a&nbsp;percent.<\/p>\n\n\n\n<p>0.8&#8211;&gt;80%<\/p>\n\n\n\n<p>The&nbsp;percent of decrease in Dorothy&#8217;s reading is&nbsp;80%.<\/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\/816\/844\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-15.png\" alt=\"\" class=\"wp-image-8465\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-15.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-15-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-15-150x150.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\/31678\/336\/568\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-15.png\" alt=\"\" class=\"wp-image-8466\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-15.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-15-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-15-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Percent of change: word problems key notes : \ud83d\udd22 What is Percent of Change? Percent of change tells us how much a value increases or decreases compared to the original amount.It includes: \ud83e\uddee Formula to Find Percent of Change \u2714\ufe0f Percent of Change = New\u00a0Value\u00a0\u2013\u00a0Original\u00a0Value \/ Original\u00a0Value \u00d7 100 \ud83d\udd39 If the answer is positive<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/j-11-percent-of-change-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.11 Percent of change: word problems&#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-217","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\/217","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=217"}],"version-history":[{"count":13,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/217\/revisions"}],"predecessor-version":[{"id":22436,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/217\/revisions\/22436"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=217"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}