// Numbas version: exam_results_page_options
{"name": "Q5  VAT", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["VAT", "VATnew", "price", "ansone", "anstwo", "VATa", "VATnewa"], "name": "Q5  VAT", "tags": ["Rebel", "REBEL", "rebel", "rebelmaths", "teame", "VAT"], "preamble": {"css": "", "js": ""}, "advice": "<p>Price including VAT of $\\var{VAT}$% = $\\var{VATa}$%</p>\n<p><em>Part 1:</em></p>\n<p>To get price before VAT (100%), divide by $\\var{VATa}$% (or multiply by $\\frac{100}{\\var{VATa}}$)</p>\n<p>$(&euro;\\var{price} \\div (\\frac{\\var{VATa}}{100}))&nbsp; = &euro;\\var{ansone}$</p>\n<p><em>Part 2:</em></p>\n<p>First get the price before VAT, the answer from&nbsp;part 1</p>\n<p>Then, multiply by $\\var{VATnewa}$%, (or multiply by $\\frac{\\var{VATnewa}}{100})$</p>\n<p>$\\var{ansone} \\times (\\frac{\\var{VATnewa}}{100}) = &euro;\\var{anstwo}$</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>What is the price before VAT, to the nearest cent?</p>\n<p>&euro;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>The price includes VAT already, so the $\\var{VAT}$% has already been added on. So the price is 100% +&nbsp;$\\var{VAT}$%. We need to find 1% first and then 100%. Note if the answer is eg. 24 you need to enter 24.00.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ansone}", "strictPrecision": true, "minValue": "{ansone}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>What will the new price be&nbsp;if the VAT rate changes to $\\var{VATnew}$%?</p>\n<p>&euro;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Start with the price before VAT (answer to part a) and add on the new VAT.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{anstwo}", "strictPrecision": true, "minValue": "{anstwo}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>The price of an item including VAT at $\\var{VAT}$% is &euro;$\\var{price}$.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"anstwo": {"definition": "ansone*(1+({VATnew}/100))", "templateType": "anything", "group": "Ungrouped variables", "name": "anstwo", "description": ""}, "ansone": {"definition": "{price}/({VATa}/100)", "templateType": "anything", "group": "Ungrouped variables", "name": "ansone", "description": ""}, "price": {"definition": "random(80..250)*(1+(VAT/100))", "templateType": "anything", "group": "Ungrouped variables", "name": "price", "description": ""}, "VATnewa": {"definition": "100 + {VATnew}", "templateType": "anything", "group": "Ungrouped variables", "name": "VATnewa", "description": ""}, "VATa": {"definition": "100+{VAT}", "templateType": "anything", "group": "Ungrouped variables", "name": "VATa", "description": ""}, "VATnew": {"definition": "random(20..24 except VAT)", "templateType": "anything", "group": "Ungrouped variables", "name": "VATnew", "description": ""}, "VAT": {"definition": "random(13,21,22,23)", "templateType": "anything", "group": "Ungrouped variables", "name": "VAT", "description": ""}}, "metadata": {"description": "<p>VAT</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}]}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}