{"id":207,"date":"2022-04-12T12:31:18","date_gmt":"2022-04-12T12:31:18","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=207"},"modified":"2025-12-04T11:51:08","modified_gmt":"2025-12-04T11:51:08","slug":"j-6-percents-of-numbers-and-money-amounts","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/j-6-percents-of-numbers-and-money-amounts\/","title":{"rendered":"J.6 Percents of numbers and money amounts"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Percents of numbers and money amounts<\/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<p><strong>Percent (%) means \u201cper 100\u201d<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1% = 1 out of 100<\/li>\n\n\n\n<li>Example: 25% = 25\/100 = 0.25 \u2705<\/li>\n<\/ul>\n\n\n\n<p><strong>Converting between Percent, Decimal, and Fraction<\/strong><\/p>\n\n\n\n<p>Percent \u2192 Decimal: divide by 100<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 40% \u2192 0.40<\/li>\n<\/ul>\n\n\n\n<p>Percent \u2192 Fraction: write over 100 and simplify<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 50% \u2192 50\/100 = 1\/2<\/li>\n<\/ul>\n\n\n\n<p><strong>Finding the Percent of a Number<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Formula: <\/li>\n<\/ul>\n\n\n\n<p>Percent&nbsp;of&nbsp;a&nbsp;number = Percent \/ 100 \u00d7 Number<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 20% of 150 = (20 \u00f7 100) \u00d7 150 = 30 \ud83c\udfaf<\/li>\n<\/ul>\n\n\n\n<p><strong>Finding a Number from a Percent<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Formula: <\/li>\n<\/ul>\n\n\n\n<p>Number = Part \/ Percent\u00d7100<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 30 is 25% of what number? <\/li>\n\n\n\n<li>30 \u00f7 25 \u00d7 100 = 120 \\] \u2705<\/li>\n<\/ul>\n\n\n\n<p><strong>Finding the Percent from Part &amp; Whole<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Formula: <\/li>\n<\/ul>\n\n\n\n<p>Percent = Part \/ Whole \u00d7 100<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: A student scored 45 out of 60 \u2192 <\/li>\n\n\n\n<li>45 \u00f7 60 \u00d7 100 = 75\\% \\] \ud83d\udcc8<\/li>\n<\/ul>\n\n\n\n<p><strong>Percents in Money Problems \ud83d\udcb5<\/strong><\/p>\n\n\n\n<p><strong>Discount:<\/strong> Subtract % of price from original price<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: \u20b9500 shirt at 10% off \u2192 10% of 500 = 50 \u2192 500 &#8211; 50 = \u20b9450 \ud83d\udecd\ufe0f<\/li>\n<\/ul>\n\n\n\n<p><strong>Profit &amp; Loss:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profit % = (Profit \u00f7 Cost Price) \u00d7 100<\/li>\n\n\n\n<li>Loss % = (Loss \u00f7 Cost Price) \u00d7 100 \ud83d\udcb9<\/li>\n<\/ul>\n\n\n\n<p><strong>Interest:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Simple Interest = (Principal \u00d7 Rate \u00d7 Time) \u00f7 100 \u23f3<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Tips to Solve Quickly \u26a1<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert percent to decimal first for faster multiplication<\/li>\n\n\n\n<li>Always check if question is asking for percent of number, the number from percent, or percent itself<\/li>\n\n\n\n<li>Use estimation for checking answers<\/li>\n<\/ul>\n\n\n\n<p><strong>Common Words in Money Percent Problems \ud83d\udca1<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Discount, Sale, Profit, Loss, Interest, Tax, Tip, Commission<\/li>\n<\/ul>\n\n\n\n<p><strong>Visual Tip:<\/strong> Draw a <strong>100-block grid<\/strong> to quickly visualize percentages \ud83d\udfe9\u2b1c<\/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-color has-text-color has-background has-link-color has-large-font-size wp-elements-1f610f0cd52ee905f5490e1a52c72a46\" style=\"background-color:#041915\"><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-2671146d782503ad2a93723e02f4c06b\" style=\"color:#b00012\"><strong>What is&nbsp;90%&nbsp;of&nbsp;\u20b950?&#8212;&#8212;&#8212;-.<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>The whole is 50.<\/p>\n\n\n\n<p>The percent is 90%.<\/p>\n\n\n\n<p>Let&nbsp;<em>n<\/em>&nbsp;represent the part.<\/p>\n\n\n\n<p>Write a proportion to solve for&nbsp;<em>n<\/em>.<\/p>\n\n\n\n<p>n\/50=90\/100<\/p>\n\n\n\n<p>100n=90.50<\/p>\n\n\n\n<p>100n=4500<\/p>\n\n\n\n<p>n=4500\/100<\/p>\n\n\n\n<p>n=45<\/p>\n\n\n\n<p>90%&nbsp;of&nbsp;\u20b950 is&nbsp;<strong>\u20b945<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>You could also find the answer by writing and solving an equation:<\/li>\n<\/ul>\n\n\n\n<p>part=percent of whole<\/p>\n\n\n\n<p>n=90% . 50<\/p>\n\n\n\n<p>n=0.90 . 50<\/p>\n\n\n\n<p>n=45<\/p>\n\n\n\n<p>90%&nbsp;of&nbsp;\u20b950 is&nbsp;<strong>\u20b945<\/strong>.<\/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-3c988bbda2e0577ad8ea29ec08f4870f\" style=\"background-color:#0d1104\"><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 has-large-font-size\"><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 has-large-font-size wp-elements-50966e55567b799179e5ca1092bef6e4\" style=\"color:#b00012\"><strong>What is&nbsp;60%&nbsp;of&nbsp;\u20b95?&#8212;&#8212;&#8212;.<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>The whole is 5.<\/p>\n\n\n\n<p>The percent is 60%.<\/p>\n\n\n\n<p>Let&nbsp;<em>n<\/em>&nbsp;represent the part.<\/p>\n\n\n\n<p>Write a proportion to solve for&nbsp;<em>n<\/em>.<\/p>\n\n\n\n<p>n\/5=60\/100<\/p>\n\n\n\n<p>100n=60 . 5<\/p>\n\n\n\n<p>100n=300<\/p>\n\n\n\n<p>n=300\/100<\/p>\n\n\n\n<p>n=3<\/p>\n\n\n\n<p>60%&nbsp;of&nbsp;\u20b95 is&nbsp;<strong>\u20b93<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>You could also find the answer by writing and solving an equation:<\/li>\n<\/ul>\n\n\n\n<p>part=percent of whole<\/p>\n\n\n\n<p>n=60% . 5<\/p>\n\n\n\n<p>n=0.6 . 5<\/p>\n\n\n\n<p>n=3<\/p>\n\n\n\n<p>60%&nbsp;of&nbsp;\u20b95 is&nbsp;<strong>\u20b93<\/strong>.<\/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-ecf8f0ce75605147d4af87f0196b6f05\" style=\"background-color:#110319\"><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-b3041fe55fa8fc2fa0f3dc414e626e5c\" style=\"color:#b00012\"><strong>What is&nbsp;75%&nbsp;of&nbsp;\u20b98?&#8212;&#8212;&#8212;-<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>The whole is 8.<\/p>\n\n\n\n<p>The percent is 75%.<\/p>\n\n\n\n<p>Let&nbsp;<em>n<\/em>&nbsp;represent the part.<\/p>\n\n\n\n<p>Write a proportion to solve for&nbsp;<em>n<\/em>.<\/p>\n\n\n\n<p>n\/8=75\/100<\/p>\n\n\n\n<p>100n=75 . 8<\/p>\n\n\n\n<p>100n=600<\/p>\n\n\n\n<p>n=600\/100<\/p>\n\n\n\n<p>n=6<\/p>\n\n\n\n<p>75%&nbsp;of&nbsp;\u20b98 is&nbsp;<strong>\u20b96<\/strong>.<\/p>\n\n\n\n<p>You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n<p>part=percent of whole<\/p>\n\n\n\n<p>n=75% . 8<\/p>\n\n\n\n<p>n=0.75 . 8<\/p>\n\n\n\n<p>n=6<\/p>\n\n\n\n<p>75%&nbsp;of&nbsp;\u20b98 is&nbsp;<strong>\u20b96<\/strong>.<\/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\/63493\/678\/408\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-9.png\" alt=\"\" class=\"wp-image-8445\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-9.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-9-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-9-150x150.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\/33928\/017\/724\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-9.png\" alt=\"\" class=\"wp-image-8446\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-9.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-9-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-9-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Percents of numbers and money amounts key notes : Percent (%) means \u201cper 100\u201d Converting between Percent, Decimal, and Fraction Percent \u2192 Decimal: divide by 100 Percent \u2192 Fraction: write over 100 and simplify Finding the Percent of a Number Percent&nbsp;of&nbsp;a&nbsp;number = Percent \/ 100 \u00d7 Number Finding a Number from a Percent Number =<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/j-6-percents-of-numbers-and-money-amounts\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.6 Percents of numbers and money amounts&#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-207","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\/207","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=207"}],"version-history":[{"count":15,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/207\/revisions"}],"predecessor-version":[{"id":22430,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/207\/revisions\/22430"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=207"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}