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An answer section demonstrates working steps using subtraction, division, and multiplying by 100 to convert results into percentage increases or decreases.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/percentage-change-word-problems-1-answers-uk-version/637400/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/percentage-change-word-problems-1-answers-uk-version/637400.png","ImageObject",300,407,{"name":42,"@type":43},"Mafia Boss","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you calculate a percentage increase from an original and new value?","Question",{"text":63,"@type":64},"Subtract the original from the new value, divide by the original, then multiply by 100 to get the percentage increase.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What method shows a percentage reduction or decrease?",{"text":68,"@type":64},"Compute the difference (new minus original), divide by the original, multiply by 100, and interpret the negative result as a decrease (e.g., -15% means a 15% reduction).",{"name":70,"@type":61,"acceptedAnswer":71},"How is percentage change applied to the rainfall and score problems?",{"text":72,"@type":64},"Use the same difference-divide-times-100 approach: subtract earlier from later values for rainfall or scores, then convert to a percentage to determine whether it increased or decreased.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},637400,1792903150,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":55},962090760730,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","PERCENTAGE CHANGE WORD PROBLEMS 1 UK VERSION  \nWork out the percentage change.  \n\n| Working out |  |  |\n| --- | --- | --- |\n| 1) I have £2500 which I leave in a savings account for a year. At the end of the year it is worth £2600.\u003Cbr>|  |  |\n| What is the percentage increase? |  |  |\n| 2) A laptop is reduced from £820 to £750 in a sale.\u003Cbr>|  |  |\n| What is the percentage reduction in price? |  |  |\n| 3) Tyger scores 15 in a spelling test.\u003Cbr>He scores 18 the next week. |  | |\n| What is the percentage change? |  |  |\n| 4) | Frazer cycles 125 miles in one week. He cycles 110 miles the following week.\u003Cbr>|  |\n| What is the percentage change? |  |  |\n| 5) A chocolate bar is made with a new recipe which reduces the number of calories from 500 to 420. |  |  |\n| What is the percentage decrease in calories? |  |  |\n| 6) In January, there is 5.2 inches of rainfall in Seattle. In February, there is 4.1 inches.  |  |  |\n| What is the percentage change? |  |  |\n\nPERCENTAGE CHANGE WORD PROBLEMS 1 ANSWERS UK VERSION  \nWork out the percentage change.  \n\n| Working out |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 1) I have £2500 which I leave in a savings account for a year. At the end of the year it is worth £2600.\u003Cbr>|  |  |  |  | 2600 – 2500 = 100\u003Cbr>100 ÷ 2500 = 0.04\u003Cbr>0.04 x 100 = 4% |\n| What is the percentage increase? |  |  | 4% increase |  |  |\n| 2) A laptop is reduced from £840 to £714 in a sale. 714 – 840 = -126\u003Cbr>-126 ÷ 840 = -0.15\u003Cbr>-0.15 x 100 = -15%\u003Cbr>|  |  |  |  |  |\n| What is the percentage reduction in price? |  |  |  | 15% reduction |  |\n| 3) Tyger scores 15 in a spelling test. He scores 18 the next week. |  | |  |  | 18 – 15 = 3\u003Cbr>3 ÷ 15 = 0.2\u003Cbr>0.2 x 100 = 20% |\n| What is the percentage change? |  | 20% increase |  |  |  |\n| 4) | Frazer cycles 125 miles in one week. He cycles 110 miles the following week.\u003Cbr>|  |  |  | 110 – 125 = -15\u003Cbr>-15 ÷ 125 = -0.12\u003Cbr>-0.12 x 100 = -12% |\n|  | What is the percentage change? |  |  |  | -12%(or a 12% decrease) |\n| 5) | A chocolate bar is made with a new recipe |  |  |  | 420 – 500 = -80 |\n|  | which reduces the number of calories from 500 |  |  |  | -80 ÷ 500 = -0.16 |\n|  | to 420. |  |  |  | -0.16 x 100 = -16% |\n|  | What is the percentage decrease in calories? |  |  |  | 16% decrease |\n| 6) In October, there is 3.2 inches of rainfall in Seattle. In November, there is 5.6 inches |  |  |  |  | 5.6 – 3.2 = 2.4\u003Cbr>2.4 ÷ 3.2 = 0.75\u003Cbr>0.75 x 100 = 75% |\n| What is the percentage change? |  | 75% increase |  |  |  |","cbCaiuTx6vJJ1pdh","https://ap.wps.com/l/cbCaiuTx6vJJ1pdh","pdf",212527,"English","# Percentage change word problems 1\n## Working out\n## Answers UK version","[{\"question\":\"How do you calculate a percentage increase from an original and new value?\",\"answer\":\"Subtract the original from the new value, divide by the original, then multiply by 100 to get the percentage increase.\"},{\"question\":\"What method shows a percentage reduction or decrease?\",\"answer\":\"Compute the difference (new minus original), divide by the original, multiply by 100, and interpret the negative result as a decrease (e.g., -15% means a 15% reduction).\"},{\"question\":\"How is percentage change applied to the rainfall and score problems?\",\"answer\":\"Use the same difference-divide-times-100 approach: subtract earlier from later values for rainfall or scores, then convert to a percentage to determine whether it increased or decreased.\"}]","PERCENTAGE CHANGE WORD PROBLEMS 1 - Answers UK Version | PDF",1792680470]