{"id":203870,"date":"2025-03-21T02:25:45","date_gmt":"2025-03-21T02:25:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=203870"},"modified":"2025-03-21T02:25:48","modified_gmt":"2025-03-21T02:25:48","slug":"a-customer-enrolled-in-a-1-year-product-purchase-plan-that-costs","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/21\/a-customer-enrolled-in-a-1-year-product-purchase-plan-that-costs\/","title":{"rendered":"A customer enrolled in a 1-year product purchase plan that costs\u00a0"},"content":{"rendered":"\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/files.transtutors.com\/book\/qimg\/0911ec96-3a96-40bd-8a40-3a4da66a14a8.png\" alt=\"\"\/><\/figure>\n\n\n\n<p>&nbsp;per month<\/p>\n\n\n\n<p>A customer enrolled in a 1-year product purchase plan that costs&nbsp;<img decoding=\"async\" src=\"https:\/\/files.transtutors.com\/book\/qimg\/0911ec96-3a96-40bd-8a40-3a4da66a14a8.png\">&nbsp;per month. After 6 months, the customer received a monthly discount of&nbsp;<img decoding=\"async\" src=\"https:\/\/files.transtutors.com\/book\/qimg\/f0634bde-a813-4a73-9119-6a684b8ac553.png\">. What is the total amount the customer will pay for the 1 -year plan?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a.\u00a0<img decoding=\"async\" src=\"https:\/\/files.transtutors.com\/book\/qimg\/f7661182-ac7b-4c9f-9fef-d57de4d5058d.png\"><\/li>\n\n\n\n<li>b.\u00a0<img decoding=\"async\" src=\"https:\/\/files.transtutors.com\/book\/qimg\/e12b2cad-fd45-4093-bf5a-b74fd90dcbad.png\"><\/li>\n\n\n\n<li>c.\u00a0<img decoding=\"async\" src=\"https:\/\/files.transtutors.com\/book\/qimg\/0ad1b665-6548-4510-8d91-b091385f3ff9.png\"><\/li>\n\n\n\n<li>d.\u00a0<img decoding=\"async\" src=\"https:\/\/files.transtutors.com\/book\/qimg\/1a07e96c-ac16-488c-bfea-1d0affe24e20.png\"><\/li>\n\n\n\n<li>e.\u00a0<img decoding=\"async\" src=\"https:\/\/files.transtutors.com\/book\/qimg\/b6202a6b-b1c5-4986-ac92-44eaf348839f.png\"><\/li>\n<\/ul>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s break down the total cost of the 1-year product purchase plan.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Given:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Monthly cost for the first 6 months = xx<\/li>\n\n\n\n<li>Monthly cost for the last 6 months (after discount dd) = x\u2212dx &#8211; d<\/li>\n\n\n\n<li>Total duration = 12 months<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Calculate the total cost for the first 6 months<\/h3>\n\n\n\n<p>The customer pays the full price for the first 6 months: Cost&nbsp;for&nbsp;first&nbsp;6&nbsp;months=6\u00d7x=6x\\text{Cost for first 6 months} = 6 \\times x = 6x<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the total cost for the last 6 months<\/h3>\n\n\n\n<p>Since the customer receives a discount of dd, the new monthly payment becomes x\u2212dx &#8211; d. The total cost for the last 6 months is: Cost&nbsp;for&nbsp;last&nbsp;6&nbsp;months=6\u00d7(x\u2212d)=6x\u22126d\\text{Cost for last 6 months} = 6 \\times (x &#8211; d) = 6x &#8211; 6d<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Compute the total amount paid<\/h3>\n\n\n\n<p>The total amount paid for the 1-year plan is: Total&nbsp;Cost=(6x)+(6x\u22126d)=12x\u22126d\\text{Total Cost} = (6x) + (6x &#8211; 6d) = 12x &#8211; 6d<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The total amount the customer will pay for the 1-year plan is 12x\u22126d12x &#8211; 6d. This formula is derived by summing the payments before and after the discount period. The first 6 months contribute 6x6x, while the last 6 months, due to the discount, contribute 6x\u22126d6x &#8211; 6d. The final result accounts for the total expenditure over the entire 12-month period.<\/p>\n\n\n\n<p>If we assume specific values, for example, x=100x = 100 and d=20d = 20: Total&nbsp;Cost=(12\u00d7100)\u2212(6\u00d720)=1200\u2212120=1080\\text{Total Cost} = (12 \\times 100) &#8211; (6 \\times 20) = 1200 &#8211; 120 = 1080<\/p>\n\n\n\n<p>This approach applies to any given values of xx and dd. The correct answer is: 12x\u22126d\\mathbf{12x &#8211; 6d}<\/p>\n\n\n\n<p>Now, I will generate an image representing this breakdown.<\/p>\n\n\n\n<p>Here is the infographic illustrating the 1-year subscription payment plan. It visually breaks down the first 6 months at full price and the last 6 months with the discount, leading to the final cost equation: 12x\u22126d12x &#8211; 6d. Let me know if you need any modifications!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-1119.png\" alt=\"\" class=\"wp-image-203871\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp;per month A customer enrolled in a 1-year product purchase plan that costs&nbsp;&nbsp;per month. After 6 months, the customer received a monthly discount of&nbsp;. What is the total amount the customer will pay for the 1 -year plan? The correct answer and explanation is: Let&#8217;s break down the total cost of the 1-year product purchase [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-203870","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203870","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=203870"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203870\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203870"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203870"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203870"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}