{"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":"

[amp_mcq option1=”30 years” option2=”38 years” option3=”41 years” option4=”40 years” correct=”option4″]<\/p>\n

The correct answer is (d) 40 years.<\/p>\n

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

To treble the principal amount, we need to earn an additional $P$ in simple interest. This will take another $2PR\/5$ years. Therefore, the total time it will take to treble the principal amount is $20 + 2PR\/5 = 40$ years.<\/p>\n

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":"

[amp_mcq option1=”30 years” option2=”38 years” option3=”41 years” option4=”40 years” correct=”option4″]<\/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":[],"class_list":["post-3748","post","type-post","status-publish","format-standard","hentry","category-simple-interest","no-featured-image-padding"],"yoast_head":"\nA 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. 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