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Six word problems ask learners to calculate outcomes such as percentage profit after buying and selling, the new price after a discount, a revised height after an increase in altitude, and a new power or brightness based on percentage changes. Includes a separate answers sheet showing the full calculation steps.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/percentage-increase-decrease-change-problems-1-uk-version-find-the-percentage-increases-decreases-and-changes/637407/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/percentage-increase-decrease-change-problems-1-uk-version-find-the-percentage-increases-decreases-and-changes/637407.png","ImageObject",300,407,{"name":92,"@type":93},"Mafia Boss","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you find the percentage profit in question 1?","Question",{"text":112,"@type":113},"Compute the profit as 1820 - 1400, divide by 1400 to get 0.3, then multiply by 100 to obtain 30% profit.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the method to calculate a new price after a discount (question 2)?",{"text":117,"@type":113},"Find the discount amount by calculating 15% of 28,000, then subtract it from 28,000 to get the new price of 23,800.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you calculate the new output or height when given a percentage increase (questions 3-4 and 6)?",{"text":121,"@type":113},"Compute the increase using the given percentage (for example, 35% of 2,000 ft), then add it to the original value to get the new height/output (or brightness).","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},637407,1792903314,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},962090760730,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","PERCENTAGE INCREASE / DECREASE /CHANGE PROBLEMS 1  \nUK VERSION  \nFind the percentage increases, decreases and changes.  \n\n| Working out |  |  |  |\n| --- | --- | --- | --- |\n| 1) | I buy a rare coin for £1,400.\u003Cbr>I sell it a few years later for £1,820 . |  | |\n| What is my percentage profit? |  |  |  |\n| 2) | A car priced at £28,000 is reduced\u003Cbr>by 15% in a sale.  |  |  |\n| What is the new price? |  |  |  |\n| 3) | A glider is flying at 2,000 ft.\u003Cbr>It height increases by 35% as\u003Cbr>it rises in the thermals. | |  |\n| What is the new height? |  |  |  |\n| 4) | Captain has a speaker with an output\u003Cbr>of 60 watts. He gets a new speaker\u003Cbr>which has a 12% more powerful. |  | |\n| What is the output of his new speaker? |  |  |  |\n| 5) | Tyger can type at 36 words per minute.\u003Cbr>After a touch typing course, he can type at 45 words\u003Cbr>per minute. |  |  |\n| What is the percentage change? |  |  |  |\n| 6) | Quadra has a torch with a 50 lumen\u003Cbr>output.\u003Cbr>Sally’s torch is 65% brighter. |  | |\n| What is the output of Sally’s torch? |  |  |  |\n\nPERCENTAGE INCREASE / DECREASE /CHANGE PROBLEMS SHEET 1 ANSWERS UK VERSION  \nFind the percentage increases, decreases and changes.  \n\n| Working out |  |  |  |  |\n| --- | --- | --- | --- | --- |\n| 1) I buy a rare coin for £1,400 .\u003Cbr>I sell it a few years later for £1,820 . |  |  | | 1820 – 1400 = 420 420 ÷ 1400 = 0.3 0.3 x 100 = 30% |\n| What is my percentage profit? |  |  | 30% profit |  |\n| 2) A car priced at £28,000 is reduced by 15% in a sale. |  | |  | 15% of £28,000 = £4,200 £28,000- £4,200 = £23,800 |\n| What is the new price? The new price is £23,800 |  |  |  |  |\n| 3) A glider is flying at 2,000 ft. It height increases by 85% as it rises in the thermals. |  | |  | 85% of 2,000 = 1700 2,000 + 1,700 = 3,700 |\n| What is the new height? |  |  | 3,700 ft |  |\n| 4) Captain has a speaker with an output of 60 watts. He gets a new speaker which is 45% more powerful. |  | |  | 45% of 60 = 27 60 + 27 = 87 |\n|  | What is the output of his new speaker? |  |  | The output is 87 watts |\n| 5) | Tyger can type at 36 words per minute. |  |  | 45 – 36 = 9 |\n|  | After a touch typing course, he can type at 45 words per |  |  | 9 ÷ 36 = 0.25 |\n|  | minute. |  |  | 0.25 x 100 = 25% |\n|  | What is the percentage change? |  |  | 25% increase |\n| 6) Quadra has a torch with a 50 lumen output.\u003Cbr>Sally’s torch is 65% brighter. |  | |  | 65% of 50 = 32.5 50 + 32.5 = 82.5 |\n| What is the output of Sally’s torch? |  |  | The output is 82.5 lumens. |  |","cbCait4VACpRQ2eE","https://ap.wps.com/l/cbCait4VACpRQ2eE","pdf",272894,"English","# Percentage Increase / Decrease / Change Problems 1\n## Working out\n## Sheet 1 Answers UK Version","[{\"question\":\"How do you find the percentage profit in question 1?\",\"answer\":\"Compute the profit as 1820 - 1400, divide by 1400 to get 0.3, then multiply by 100 to obtain 30% profit.\"},{\"question\":\"What is the method to calculate a new price after a discount (question 2)?\",\"answer\":\"Find the discount amount by calculating 15% of 28,000, then subtract it from 28,000 to get the new price of 23,800.\"},{\"question\":\"How do you calculate the new output or height when given a percentage increase (questions 3-4 and 6)?\",\"answer\":\"Compute the increase using the given percentage (for example, 35% of 2,000 ft), then add it to the original value to get the new height/output (or brightness).\"}]","PERCENTAGE INCREASE / DECREASE /CHANGE PROBLEMS 1 - UK VERSION - Find the percentage increases, decreases and changes | PDF",1792680485]