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{"name": "Simon's copy of Q8 VAT", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "<p>The price of an item including VAT at $\\var{VAT}$% is $ &pound; \\var{dpformat(price,2)}$.</p>", "variable_groups": [], "preamble": {"js": "", "css": ""}, "extensions": [], "rulesets": {}, "variables": {"VATnewa": {"description": "", "group": "Ungrouped variables", "definition": "100 + {VATnew}", "name": "VATnewa", "templateType": "anything"}, "ansone": {"description": "", "group": "Ungrouped variables", "definition": "random(110..220#10)", "name": "ansone", "templateType": "anything"}, "VATa": {"description": "", "group": "Ungrouped variables", "definition": "100+{VAT}", "name": "VATa", "templateType": "anything"}, "VAT": {"description": "", "group": "Ungrouped variables", "definition": "random(13.5,21,21.5,22,22.5,23)", "name": "VAT", "templateType": "anything"}, "VATnew": {"description": "", "group": "Ungrouped variables", "definition": "random(20..26 except VAT)", "name": "VATnew", "templateType": "anything"}, "anstwo": {"description": "", "group": "Ungrouped variables", "definition": "ansone*(1+({VATnew}/100))", "name": "anstwo", "templateType": "anything"}, "price": {"description": "", "group": "Ungrouped variables", "definition": "ansone*(VATa/100)", "name": "price", "templateType": "anything"}}, "tags": [], "functions": {}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>What is the change in price if the VAT changes</p>\n<p>rebelmaths</p>"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "advice": "<p>Price including VAT of $\\var{VAT}$% = $\\var{VATa}$%</p>\n<p>First get the price before VAT by $\\frac{\\var{price}}{\\var{VATa}} \\times 100 = &pound;\\var{dpformat(price*100/VATa,2)}$</p>\n<p>Then, multiply by $\\frac{\\var{VATnewa}}{100}$&nbsp; (alternatively multiply by&nbsp;$\\var{VATnewa/100}$)</p>\n<p>$&nbsp;\\var{dpformat(price*100/VATa,2)} \\times \\frac{\\var{VATnewa}}{100} = &pound;\\var{dpformat(anstwo,2)}$</p>", "name": "Simon's copy of Q8 VAT", "ungrouped_variables": ["VAT", "VATnew", "price", "ansone", "anstwo", "VATa", "VATnewa"], "parts": [{"showFeedbackIcon": true, "unitTests": [], "scripts": {}, "sortAnswers": false, "steps": [{"showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "unitTests": [], "scripts": {}, "prompt": "<p>The price already includes VAT so it corresponds to 100% + $\\var{VAT}$%. We need the cost price, which corresponds to 100%.&nbsp;Then we can add the new VAT rate&nbsp;to the cost price.</p>", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "type": "information", "customMarkingAlgorithm": "", "marks": 0}], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "type": "gapfill", "marks": 0, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "prompt": "<p>What is&nbsp;the new price if the VAT rate changes to $\\var{VATnew}$%?</p>\n<p>&pound;[[0]]</p>", "stepsPenalty": 0, "gaps": [{"maxValue": "{anstwo}", "precision": "2", "scripts": {}, "precisionType": "dp", "mustBeReducedPC": 0, "variableReplacements": [], "minValue": "{anstwo}", "unitTests": [], "allowFractions": false, "showPrecisionHint": false, "precisionMessage": "You have not given your answer to the correct precision.", "type": "numberentry", "showFeedbackIcon": true, "mustBeReduced": false, "precisionPartialCredit": 0, "extendBaseMarkingAlgorithm": true, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "strictPrecision": true, "correctAnswerFraction": false, "customMarkingAlgorithm": "", "correctAnswerStyle": "plain"}], "customMarkingAlgorithm": ""}], "type": "question", "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}]}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}