{"id":459,"date":"2024-03-05T14:59:19","date_gmt":"2024-03-05T14:59:19","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=459"},"modified":"2024-03-05T14:59:19","modified_gmt":"2024-03-05T14:59:19","slug":"in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/","title":{"rendered":"In a camp of persons there was a provision of food for 42 days. After 10 days the number of persons increased by 300 as a result of which the food lasted only 24 days. What was the number of persons in the camp, originally ?"},"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_6a97e1030e331\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    100                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"true\">\r\n                    375                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    900                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    500                <\/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 (b).<\/p>\n<p>Let $x$ be the number of persons in the camp originally. After 10 days, the number of persons is $x+300$. The food lasts for 24 days, so the total amount of food is $24(x+300)$. The food was originally enough for 42 days, so the total amount of food is $42x$. We have the equation $24(x+300)=42x$. Solving for $x$, we get $x=375$.<\/p>\n<p>Option (a) is incorrect because 100 people would have food for 42 days, but after 10 days, there would still be <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" <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> 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> food for 32 days. Option (c) is incorrect because 900 people would have food for 42 days, but after 10 days, there would still be food for 22 days. Option (d) is incorrect because 500 people would have food for 42 days, but after 10 days, there would still be food for 12 days.<\/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":[33],"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>In a camp of persons there was a provision of food for 42 days. After 10 days the number of persons increased by 300 as a result of which the food lasted only 24 days. What was the number of persons in the camp, originally ?<\/title>\n<meta name=\"description\" content=\"Let $x$ be the number of persons in the camp originally. After 10 days, the number of persons is $x+300$. The food lasts for 24 days, so the total amount of food is $24(x+300)$. The food was originally enough for 42 days, so the total amount of food is $42x$. We have the equation $24(x+300)=42x$. Solving for $x$, we get $x=375$.\" \/>\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\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In a camp of persons there was a provision of food for 42 days. After 10 days the number of persons increased by 300 as a result of which the food lasted only 24 days. What was the number of persons in the camp, originally ?\" \/>\n<meta property=\"og:description\" content=\"Let $x$ be the number of persons in the camp originally. After 10 days, the number of persons is $x+300$. The food lasts for 24 days, so the total amount of food is $24(x+300)$. The food was originally enough for 42 days, so the total amount of food is $42x$. We have the equation $24(x+300)=42x$. Solving for $x$, we get $x=375$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T14:59:19+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":"In a camp of persons there was a provision of food for 42 days. After 10 days the number of persons increased by 300 as a result of which the food lasted only 24 days. What was the number of persons in the camp, originally ?","description":"Let $x$ be the number of persons in the camp originally. After 10 days, the number of persons is $x+300$. The food lasts for 24 days, so the total amount of food is $24(x+300)$. The food was originally enough for 42 days, so the total amount of food is $42x$. We have the equation $24(x+300)=42x$. Solving for $x$, we get $x=375$.","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\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/","og_locale":"en_US","og_type":"article","og_title":"In a camp of persons there was a provision of food for 42 days. After 10 days the number of persons increased by 300 as a result of which the food lasted only 24 days. What was the number of persons in the camp, originally ?","og_description":"Let $x$ be the number of persons in the camp originally. After 10 days, the number of persons is $x+300$. The food lasts for 24 days, so the total amount of food is $24(x+300)$. The food was originally enough for 42 days, so the total amount of food is $42x$. We have the equation $24(x+300)=42x$. Solving for $x$, we get $x=375$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T14:59:19+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\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/","url":"https:\/\/exam.pscnotes.com\/mcq\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/","name":"In a camp of persons there was a provision of food for 42 days. After 10 days the number of persons increased by 300 as a result of which the food lasted only 24 days. What was the number of persons in the camp, originally ?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T14:59:19+00:00","dateModified":"2024-03-05T14:59:19+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x$ be the number of persons in the camp originally. After 10 days, the number of persons is $x+300$. The food lasts for 24 days, so the total amount of food is $24(x+300)$. The food was originally enough for 42 days, so the total amount of food is $42x$. We have the equation $24(x+300)=42x$. Solving for $x$, we get $x=375$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/in-a-camp-of-persons-there-was-a-provision-of-food-for-42-days-after-10-days-the-number-of-persons-increased-by-300-as-a-result-of-which-the-food-lasted-only-24-days-what-was-the-number-of-persons-i\/#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":"Algebra","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/algebra\/"},{"@type":"ListItem","position":4,"name":"In a camp of persons there was a provision of food for 42 days. After 10 days the number of persons increased by 300 as a result of which the food lasted only 24 days. What was the number of persons in the camp, originally ?"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/459"}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=459"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/459\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=459"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=459"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}