age-change/questions","formulaUrl":null,"initialIndex":43,"initialQuestionWindow":[{"id":"e73c5f90-17ba-49a0-9c01-199651b8e2c3","revisionId":"68f2b079-643b-4ad2-9f12-b995aa1de31b","questionNumber":null,"questionType":"LA","specification":"","difficulty":1,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":"non_calc","parts":[{"id":"fd73c1a0-b78c-4566-a56e-d39adebedc42","label":"a","content":"David buys a collection of rare stamps for £8 400\nHe sells the collection for £7 392\n\nCalculate the percentage loss David makes.","markscheme":"- Calculates the loss: $8400 - 7392 = 1008$ M1\n- Uses the percentage change formula: $\\frac{1008}{8400} \\times 100$ M1\n- Final answer of 12% A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Finds the difference between the two prices.","code":"M"},{"id":"p2","marks":1,"description":"Calculates the loss as a fraction of the original purchase price.","code":"M"},{"id":"p3","marks":1,"description":"Correct final answer of 12.","code":"A"}],"finalAnswers":["12%"],"generatedAt":"2026-05-06T13:59:53.062Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"percentage_loss","label":"Find the loss percentage","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{loss}=\\htmlData{anchor=prices}{\\color{@sky}{8400-7392}}$"},{"latex":"$$\\text{loss}=\\htmlData{anchor=loss}{\\color{@sky}{1008}}$"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"prices"}],"connections":[{"to":"loss","from":"prices","color":"sky","label":"subtract"}]},"order":0,"title":"Calculate the loss","description":"Subtract the selling price from the buying price. This correct subtraction earns the first M1 mark."},{"type":"text","order":1,"title":"Choose the original amount","content":"A percentage loss is measured against the **original buying price**, so divide the loss by $£8400$, not by the selling price. Then multiply by $100$ to convert the fraction into a percentage.","highlights":[{"text":"buys a collection of rare stamps for £8 400","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{percentage loss}=\\htmlData{anchor=formula_rhs}{\\color{@orange}{\\dfrac{\\text{loss}}{\\text{original price}}\\times 100}}$"},{"latex":"$$\\text{percentage loss}=\\htmlData{anchor=substituted_rhs}{\\color{@orange}{\\dfrac{1008}{8400}\\times 100}}$"},{"latex":"$$\\text{percentage loss}=\\htmlData{anchor=answer}{\\color{@green}{12\\%}}$"}],"highlights":[{"color":"orange","style":"text-color","anchor":"formula_rhs"},{"color":"orange","style":"text-color","anchor":"substituted_rhs"},{"color":"green","style":"text-color-with-background","anchor":"answer"}],"connections":[{"to":"substituted_rhs","from":"formula_rhs","color":"orange","label":"substitute"}]},"order":2,"title":"Calculate the percentage","description":"Substituting the loss and original price into the percentage-change formula earns the second M1 mark. Evaluating it gives the final A1 mark."}]}],"generatedAt":"2026-07-19T07:25:15.701Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"fa0e8257-63bf-441b-b6b8-0b9198cd0565","revisionId":"5f2dec73-dd34-41d5-9da6-b4c6b9984da7","questionNumber":null,"questionType":"LA","specification":"","difficulty":1,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":"calc","parts":[{"id":"699474be-ac8a-4b90-a25e-bf40cee4b611","label":"a","content":"A collector buys a painting for £5 600\nThey sell the painting later for £4 250\n\nWork out the collector's percentage loss.\nGive your answer correct to three significant figures.","markscheme":"- Calculates the loss: $5600 - 4250 = 1350$ M1\n- Uses the percentage change formula: $\\frac{1350}{5600} \\times 100$ M1\n- Final answer of 24.1% (to 3 sig figs) A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":

Percentage Change

Question 37

Percentage Change Questions

Percentage Change

Question 37

Percentage Change Questions