{"id":3748,"date":"2024-03-05T15:55:13","date_gmt":"2024-03-05T15:55:13","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=3748"},"modified":"2024-03-05T15:55:13","modified_gmt":"2024-03-05T15:55:13","slug":"a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/","title":{"rendered":"A sum of money, at simple interest is doubled in20 years. How many years will it take to treble ?"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9745c51fa1d\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    30 years                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    38 years                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    41 years                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"true\">\r\n                    40 years                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is (d) 40 years.<\/p>\n<p>Let P be the principal amount and R be the rate of interest. We know that the simple interest earned in 20 years is equal to the principal amount, so $P = PRT$. We also know that the simple interest earned in one year is equal to $PRT\/100$. Therefore, $P = PRT\/100 \\times 20 = 2PR\/5$.<\/p>\n<p>To treble the principal amount, we need to earn an additional $P$ in simple interest. This will take another $2PR\/5$ years. <div class=\"youtube-subscribe-container\">\r\n       <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div>  <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> Therefore, the total time it will take to treble the principal amount is $20 + 2PR\/5 = 40$ years.<\/p>\n<p>Option (a) is incorrect because it is the time it takes to double the principal amount, not treble it. Option (b) is incorrect because it is the time it takes to quadruple the principal amount. Option (c) is incorrect because it is the time it takes to quintuple the principal amount.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[201],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A sum of money, at simple interest is doubled in20 years. How many years will it take to treble ?<\/title>\n<meta name=\"description\" content=\"Let P be the principal amount and R be the rate of interest. We know that the simple interest earned in 20 years is equal to the principal amount, so $P = PRT$. We also know that the simple interest earned in one year is equal to $PRT\/100$. Therefore, $P = PRT\/100 times 20 = 2PR\/5$.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A sum of money, at simple interest is doubled in20 years. How many years will it take to treble ?\" \/>\n<meta property=\"og:description\" content=\"Let P be the principal amount and R be the rate of interest. We know that the simple interest earned in 20 years is equal to the principal amount, so $P = PRT$. We also know that the simple interest earned in one year is equal to $PRT\/100$. Therefore, $P = PRT\/100 times 20 = 2PR\/5$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:55:13+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A sum of money, at simple interest is doubled in20 years. How many years will it take to treble ?","description":"Let P be the principal amount and R be the rate of interest. We know that the simple interest earned in 20 years is equal to the principal amount, so $P = PRT$. We also know that the simple interest earned in one year is equal to $PRT\/100$. Therefore, $P = PRT\/100 times 20 = 2PR\/5$.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/","og_locale":"en_US","og_type":"article","og_title":"A sum of money, at simple interest is doubled in20 years. How many years will it take to treble ?","og_description":"Let P be the principal amount and R be the rate of interest. We know that the simple interest earned in 20 years is equal to the principal amount, so $P = PRT$. We also know that the simple interest earned in one year is equal to $PRT\/100$. Therefore, $P = PRT\/100 times 20 = 2PR\/5$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:55:13+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/","name":"A sum of money, at simple interest is doubled in20 years. How many years will it take to treble ?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T15:55:13+00:00","dateModified":"2024-03-05T15:55:13+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let P be the principal amount and R be the rate of interest. We know that the simple interest earned in 20 years is equal to the principal amount, so $P = PRT$. We also know that the simple interest earned in one year is equal to $PRT\/100$. Therefore, $P = PRT\/100 \\times 20 = 2PR\/5$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-sum-of-money-at-simple-interest-is-doubled-in20-years-how-many-years-will-it-take-to-treble\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Simple Interest","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/simple-interest\/"},{"@type":"ListItem","position":4,"name":"A sum of money, at simple interest is doubled in20 years. 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