{"id":67399,"date":"2022-02-12T18:34:47","date_gmt":"2022-02-12T13:04:47","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=67399"},"modified":"2022-04-25T15:16:39","modified_gmt":"2022-04-25T09:46:39","slug":"graph-of-simple-interest-vs-number-of-years","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class\/graph-of-simple-interest-vs.-number-of-years\/graph-of-simple-interest-vs-number-of-years\/","title":{"rendered":"Graph of Simple Interest vs. Number of Years"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\">Table of Contents<\/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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><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><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class\/graph-of-simple-interest-vs.-number-of-years\/graph-of-simple-interest-vs-number-of-years\/#How_to_draw_a_Graph_of_Simple_Interest_vs_Number_of_Years\" title=\"How to draw a Graph of Simple Interest vs. Number of Years?\">How to draw a Graph of Simple Interest vs. Number of Years?<\/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:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class\/graph-of-simple-interest-vs.-number-of-years\/graph-of-simple-interest-vs-number-of-years\/#Example_Questions_Answers\" title=\"Example Questions &amp; Answers\">Example Questions &amp; Answers<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>Here we will learn about the graph of simple interest vs. the number of years. On a graph paper, take the time or the number of years on the x-axis, simple interest amount on the y-axis. Get the simple steps to draw a graph of simple interest vs time and solved example questions in the below sections.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_draw_a_Graph_of_Simple_Interest_vs_Number_of_Years\"><\/span>How to draw a Graph of Simple Interest vs. Number of Years?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Go through the following sections to find the steps to draw a graph of simple interest vs the number of years. You have to find the relation between the simple interest amount, time period for a constant interest rate.<\/p>\n<ul>\n<li>Let us take the total amount and number of years to calculate the simple interest.<\/li>\n<li>Treat the constant interest rate of 1%.<\/li>\n<li>Calculate the interest amount for every year and write it as a table.<\/li>\n<li>Get the points and plot them on the graph.<\/li>\n<li>Join those points to get the required graph line.<\/li>\n<li>To read the numbers from the graph, substitute the time and find the total amount and draw on the graph.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Example_Questions_Answers\"><\/span>Example Questions &amp; Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Example 1.<\/p>\n<p>Draw the graph between simple interest vs Number of years on amount Rs. 2000 at the rate of interest of 4% per annum?<\/p>\n<p>Solution:<\/p>\n<p>Given that,<\/p>\n<p>Amount taken for interest p = Rs. 2000\/-<\/p>\n<p>Rate of interest r = 4%<\/p>\n<p>Percentage of simple interest = (prt) \/ 100<\/p>\n<p>= (2000 * 4 * t) \/ 100<\/p>\n<p>= 80t<\/p>\n<p>Consider 80t as a simple function.<\/p>\n<p>By putting t = 1, 2, 3 successively, we will get the corresponding values of 80t. We get the table given below.<\/p>\n<table border=\"2\">\n<thead>\n<tr>\n<th class=\"tg-0pky\">t<\/th>\n<th class=\"tg-0pky\">1<\/th>\n<th class=\"tg-0pky\">2<\/th>\n<th class=\"tg-0pky\">3<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"tg-0pky\">80t<\/td>\n<td class=\"tg-0pky\">80<\/td>\n<td class=\"tg-0pky\">160<\/td>\n<td class=\"tg-0pky\">240<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Along the x-axis: Take 1 small square = 1 unit.<\/p>\n<p>Along the y-axis: Take 1 small square = 25 units.<\/p>\n<p>Plot the points A (1, 80), B (2, 160), C (3, 240) on a graph paper.<\/p>\n<p>Join these points to get the graph.<\/p>\n<p><img class=\"size-medium wp-image-5157 aligncenter\" src=\"https:\/\/i1.wp.com\/www.worksheetsbuddy.com\/wp-content\/uploads\/2020\/11\/simple-interest-graph-1.jpg?resize=300%2C222&amp;ssl=1\" \/><\/p>\n<p>Example 2.<\/p>\n<p>Simple interest on a certain sum is $ 50 per year. Then, S = 50 t, where t is the number of years.<br \/>\n1. Draw a graph of the above function.<br \/>\n2. From the graph find the value of S, when (a) t = 5 (b) t = 6?<\/p>\n<p>Solution:<\/p>\n<p>Given sample function is S = 50 t<\/p>\n<p>Put t = 1, 2, 3, 4 successively and getting the corresponding value of S. we get the table given below.<\/p>\n<table border=\"2\">\n<thead>\n<tr>\n<th class=\"tg-0pky\">t<\/th>\n<th class=\"tg-0pky\">1<\/th>\n<th class=\"tg-0pky\">2<\/th>\n<th class=\"tg-0pky\">3<\/th>\n<th class=\"tg-0lax\">4<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"tg-0pky\">S<\/td>\n<td class=\"tg-0pky\">50<\/td>\n<td class=\"tg-0pky\">100<\/td>\n<td class=\"tg-0pky\">150<\/td>\n<td class=\"tg-0lax\">200<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Along the x-axis: Take 1 small square = 1 unit.<\/p>\n<p>Along the y-axis: Take 1 small square = 25 units.<\/p>\n<p>Plot the points A (1, 50), B (2, 100), C (3, 150), D (4, 200) on a graph.<\/p>\n<p>Join the points to get a graph line.<\/p>\n<p><img class=\"size-medium wp-image-5158 aligncenter\" src=\"https:\/\/i1.wp.com\/www.worksheetsbuddy.com\/wp-content\/uploads\/2020\/11\/simple-interest-graph-2.jpg?resize=300%2C224&amp;ssl=1\" \/><\/p>\n<p>Reading off from the graph of simple interest vs. a number of years:<\/p>\n<p>(a) On the x-axis, take the point L at t = 5.<\/p>\n<p>Draw LP \u22a5 x-axis, meeting the graph at P.<\/p>\n<p>Clearly, PL = 250 units.<\/p>\n<p>Therefore, t = 5 \u21d2 S = 250.<\/p>\n<p>(b) On the x-axis, take the point M at t = 6<\/p>\n<p>Draw MQ \u22a5 x-axis, meeting the graph at Q.<\/p>\n<p>So, MQ = 300 units.<\/p>\n<p>Therefore, t = 6 \u21d2 S = 300.<\/p>\n<p>Example 3.<\/p>\n<p>Draw the graph between simple interest vs Number of years on amount Rs. 1500 at the rate of interest of 2% per annum. From the graph find the value of Simple interest, when (a) number of years = 5 years 6 months (b) t = 8 years 9 months?<\/p>\n<p>Solution:<\/p>\n<p>Given that,<\/p>\n<p>Amount taken for interest p = Rs. 1500<\/p>\n<p>Rate of interest r = 2%<\/p>\n<p>Percentage of simple interest = (ptr) \/ 100<\/p>\n<p>= (1500 * 2 * t) \/ 100<\/p>\n<p>= 30 t<\/p>\n<p>Let us take S = 30t as the function.<\/p>\n<p>Find the value of simple interest, when the number of years is 1, 2, 3. Write them on a table.<\/p>\n<table border=\"2\">\n<thead>\n<tr>\n<th class=\"tg-0pky\">t<\/th>\n<th class=\"tg-0pky\">1<\/th>\n<th class=\"tg-0pky\">2<\/th>\n<th class=\"tg-0pky\">3<\/th>\n<th class=\"tg-0lax\">4<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"tg-0pky\">S<\/td>\n<td class=\"tg-0pky\">30<\/td>\n<td class=\"tg-0pky\">60<\/td>\n<td class=\"tg-0pky\">90<\/td>\n<td class=\"tg-0lax\">120<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Along the x-axis: Take 1 small square = 1 unit.<\/p>\n<p>Along the y-axis: Take 1 small square = 25 units.<\/p>\n<p>Plot the points A (1, 30), B (2, 60), C (3, 90), D (4, 120) on the coordinate graph.<\/p>\n<p>Join the points ABCD to get the required graph line.<\/p>\n<p><img class=\"size-medium wp-image-5159 aligncenter\" src=\"https:\/\/i2.wp.com\/www.worksheetsbuddy.com\/wp-content\/uploads\/2020\/11\/simple-interest-graph-3.jpg?resize=300%2C222&amp;ssl=1\" \/><\/p>\n<p>Reading off from the graph of simple interest vs. a number of years:<\/p>\n<p>(a) On the x-axis, take the point L at t = 5 years 6 months.<\/p>\n<p>Draw LP \u22a5 x-axis, meeting the graph at P.<\/p>\n<p>Clearly, PL = 165 units.<\/p>\n<p>Therefore, t = 5 \u21d2 S = 165.<\/p>\n<p>(b) On the x-axis, take the point M at t = 8 years 9 months<\/p>\n<p>Draw MQ \u22a5 x-axis, meeting the graph at Q.<\/p>\n<p>So, MQ = 262.5 units.<\/p>\n<p>Therefore, t = 6 \u21d2 S = 262.5.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here we will learn about the graph of simple interest vs. the number of years. On a graph paper, take [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get Graph of Simple Interest vs. Number of Years on Infinity Learn.","custom_permalink":"study-material\/cbse-notes\/class\/graph-of-simple-interest-vs.-number-of-years\/graph-of-simple-interest-vs-number-of-years\/"},"categories":[55,92,54,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Graph of Simple Interest vs. Number of Years - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Get Graph of Simple Interest vs. Number of Years on Infinity Learn.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class\/graph-of-simple-interest-vs.-number-of-years\/graph-of-simple-interest-vs-number-of-years\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graph of Simple Interest vs. Number of Years - 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