{"id":93281,"date":"2025-06-01T11:46:28","date_gmt":"2025-06-01T11:46:28","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=93281"},"modified":"2025-06-01T11:46:28","modified_gmt":"2025-06-01T11:46:28","slug":"a-businessman-lost-20-of-his-goods-due-to-rain-the-remaining-items-w","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-businessman-lost-20-of-his-goods-due-to-rain-the-remaining-items-w\/","title":{"rendered":"A businessman lost 20% of his goods due to rain. The remaining items w"},"content":{"rendered":"

A businessman lost 20% of his goods due to rain. The remaining items were sold at a profit of 50%. The businessman earned an overall profit of:<\/p>\n

[amp_mcq option1=”10%” option2=”30%” option3=”20%” option4=”40%” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CISF-AC-EXE – 2023<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nAssume the total cost price of the goods was \u20b9 100. Let the total quantity be 100 units, so the cost per unit is \u20b9 1. 20% of goods were lost, meaning 20 units were lost. Remaining goods are 100 – 20 = 80 units. These 80 units are sold at a profit of 50% on their cost. The cost of the 80 units is \u20b9 80 (since cost per unit was \u20b9 1). Selling price of these 80 units = Cost * (1 + Profit%) = \u20b9 80 * (1 + 0.50) = \u20b9 80 * 1.50 = \u20b9 120. The businessman invested \u20b9 100 initially (the cost of the total goods) and received \u20b9 120 from the sale. The overall profit is \u20b9 120 – \u20b9 100 = \u20b9 20. Overall profit percentage = (Overall Profit \/ Total Cost) * 100 = (\u20b9 20 \/ \u20b9 100) * 100 = 20%.
\n<\/section>\n
\n– The profit\/loss is calculated on the original total cost of the goods, even if a portion is lost.
\n– The selling price is calculated based on the goods that *are* sold, applying the given profit margin to their cost.
\n– Overall profit = Total Revenue – Total Cost.
\n– Overall profit percentage = (Overall Profit \/ Total Cost) * 100.
\n<\/section>\n
\nSetting the initial cost price to a convenient value like \u20b9 100 simplifies calculations for percentage problems. The loss of goods means the cost invested in those goods is not recovered, and this must be accounted for in the overall profit calculation.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

A businessman lost 20% of his goods due to rain. The remaining items were sold at a profit of 50%. The businessman earned an overall profit of: [amp_mcq option1=”10%” option2=”30%” option3=”20%” option4=”40%” correct=”option3″] This question was previously asked in UPSC CISF-AC-EXE – 2023 Download PDFAttempt Online Assume the total cost price of the goods was … <\/p>\n

Detailed SolutionA businessman lost 20% of his goods due to rain. The remaining items w<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1089],"tags":[1105,1102],"class_list":["post-93281","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1105","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nA businessman lost 20% of his goods due to rain. The remaining items w<\/title>\n<meta name=\"description\" content=\"Assume the total cost price of the goods was \u20b9 100. Let the total quantity be 100 units, so the cost per unit is \u20b9 1. 20% of goods were lost, meaning 20 units were lost. Remaining goods are 100 - 20 = 80 units. These 80 units are sold at a profit of 50% on their cost. The cost of the 80 units is \u20b9 80 (since cost per unit was \u20b9 1). Selling price of these 80 units = Cost * (1 + Profit%) = \u20b9 80 * (1 + 0.50) = \u20b9 80 * 1.50 = \u20b9 120. The businessman invested \u20b9 100 initially (the cost of the total goods) and received \u20b9 120 from the sale. The overall profit is \u20b9 120 - \u20b9 100 = \u20b9 20. Overall profit percentage = (Overall Profit \/ Total Cost) * 100 = (\u20b9 20 \/ \u20b9 100) * 100 = 20%. - The profit\/loss is calculated on the original total cost of the goods, even if a portion is lost. - The selling price is calculated based on the goods that *are* sold, applying the given profit margin to their cost. - Overall profit = Total Revenue - Total Cost. - Overall profit percentage = (Overall Profit \/ Total Cost) * 100.\" \/>\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-businessman-lost-20-of-his-goods-due-to-rain-the-remaining-items-w\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A businessman lost 20% of his goods due to rain. The remaining items w\" \/>\n<meta property=\"og:description\" content=\"Assume the total cost price of the goods was \u20b9 100. Let the total quantity be 100 units, so the cost per unit is \u20b9 1. 20% of goods were lost, meaning 20 units were lost. Remaining goods are 100 - 20 = 80 units. These 80 units are sold at a profit of 50% on their cost. The cost of the 80 units is \u20b9 80 (since cost per unit was \u20b9 1). Selling price of these 80 units = Cost * (1 + Profit%) = \u20b9 80 * (1 + 0.50) = \u20b9 80 * 1.50 = \u20b9 120. The businessman invested \u20b9 100 initially (the cost of the total goods) and received \u20b9 120 from the sale. The overall profit is \u20b9 120 - \u20b9 100 = \u20b9 20. Overall profit percentage = (Overall Profit \/ Total Cost) * 100 = (\u20b9 20 \/ \u20b9 100) * 100 = 20%. - The profit\/loss is calculated on the original total cost of the goods, even if a portion is lost. - The selling price is calculated based on the goods that *are* sold, applying the given profit margin to their cost. - Overall profit = Total Revenue - Total Cost. - Overall profit percentage = (Overall Profit \/ Total Cost) * 100.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-businessman-lost-20-of-his-goods-due-to-rain-the-remaining-items-w\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:46:28+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 businessman lost 20% of his goods due to rain. The remaining items w","description":"Assume the total cost price of the goods was \u20b9 100. Let the total quantity be 100 units, so the cost per unit is \u20b9 1. 20% of goods were lost, meaning 20 units were lost. Remaining goods are 100 - 20 = 80 units. These 80 units are sold at a profit of 50% on their cost. The cost of the 80 units is \u20b9 80 (since cost per unit was \u20b9 1). Selling price of these 80 units = Cost * (1 + Profit%) = \u20b9 80 * (1 + 0.50) = \u20b9 80 * 1.50 = \u20b9 120. The businessman invested \u20b9 100 initially (the cost of the total goods) and received \u20b9 120 from the sale. The overall profit is \u20b9 120 - \u20b9 100 = \u20b9 20. Overall profit percentage = (Overall Profit \/ Total Cost) * 100 = (\u20b9 20 \/ \u20b9 100) * 100 = 20%. - The profit\/loss is calculated on the original total cost of the goods, even if a portion is lost. - The selling price is calculated based on the goods that *are* sold, applying the given profit margin to their cost. - Overall profit = Total Revenue - Total Cost. - Overall profit percentage = (Overall Profit \/ Total Cost) * 100.","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-businessman-lost-20-of-his-goods-due-to-rain-the-remaining-items-w\/","og_locale":"en_US","og_type":"article","og_title":"A businessman lost 20% of his goods due to rain. The remaining items w","og_description":"Assume the total cost price of the goods was \u20b9 100. Let the total quantity be 100 units, so the cost per unit is \u20b9 1. 20% of goods were lost, meaning 20 units were lost. Remaining goods are 100 - 20 = 80 units. These 80 units are sold at a profit of 50% on their cost. The cost of the 80 units is \u20b9 80 (since cost per unit was \u20b9 1). Selling price of these 80 units = Cost * (1 + Profit%) = \u20b9 80 * (1 + 0.50) = \u20b9 80 * 1.50 = \u20b9 120. The businessman invested \u20b9 100 initially (the cost of the total goods) and received \u20b9 120 from the sale. The overall profit is \u20b9 120 - \u20b9 100 = \u20b9 20. Overall profit percentage = (Overall Profit \/ Total Cost) * 100 = (\u20b9 20 \/ \u20b9 100) * 100 = 20%. - The profit\/loss is calculated on the original total cost of the goods, even if a portion is lost. - The selling price is calculated based on the goods that *are* sold, applying the given profit margin to their cost. - Overall profit = Total Revenue - Total Cost. - Overall profit percentage = (Overall Profit \/ Total Cost) * 100.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-businessman-lost-20-of-his-goods-due-to-rain-the-remaining-items-w\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:46:28+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-businessman-lost-20-of-his-goods-due-to-rain-the-remaining-items-w\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-businessman-lost-20-of-his-goods-due-to-rain-the-remaining-items-w\/","name":"A businessman lost 20% of his goods due to rain. The remaining items w","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:46:28+00:00","dateModified":"2025-06-01T11:46:28+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Assume the total cost price of the goods was \u20b9 100. Let the total quantity be 100 units, so the cost per unit is \u20b9 1. 20% of goods were lost, meaning 20 units were lost. Remaining goods are 100 - 20 = 80 units. These 80 units are sold at a profit of 50% on their cost. The cost of the 80 units is \u20b9 80 (since cost per unit was \u20b9 1). Selling price of these 80 units = Cost * (1 + Profit%) = \u20b9 80 * (1 + 0.50) = \u20b9 80 * 1.50 = \u20b9 120. The businessman invested \u20b9 100 initially (the cost of the total goods) and received \u20b9 120 from the sale. The overall profit is \u20b9 120 - \u20b9 100 = \u20b9 20. 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