// Numbas version: exam_results_page_options
{"name": "Lois's copy of Numerical reasoning - tax", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {"commanumber": {"definition": "var parts=n.toString().split(\".\");\n        if(parts[1] && parts[1].length<2) {\n      parts[1]+='0';\n        }\n        return parts[0].replace(/\\B(?=(\\d{3})+(?!\\d))/g, \",\") + (parts[1] ? \".\" + parts[1] : \"\");", "type": "string", "language": "javascript", "parameters": [["n", "number"]]}}, "ungrouped_variables": ["salary", "aftertax", "incomepermonth", "his", "name", "netincome", "pensiondeduction", "tax", "pension", "taxedincome", "he", "allowance"], "name": "Lois's copy of Numerical reasoning - tax", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>{name} is only taxed on &nbsp;$&pound;\\var{commanumber(salary)} - &pound;\\var{commanumber(allowance)} = &pound;\\var{commanumber(salary-allowance)}.$</p>\n<p>Income tax is {tax}% on this $&pound;\\var{commanumber(salary-allowance)}$ and is $&pound;\\var{latex(commanumber(salary-allowance))} \\times \\var{taxdec} &nbsp;= &pound;\\var{commanumber(taxedincome)}.$</p>\n<p>This leaves {name} with $&pound;\\var{commanumber(salary)} - &pound;\\var{commanumber(taxedincome)} = &pound;\\var{commanumber(aftertax)}.$</p>\n<p>{pension}% of this is for {his} pension contributions, i.e. $&pound;\\var{commanumber(aftertax)} \\times \\var{pensiondec} = &pound;\\var{commanumber(pensiondeduction)}.$</p>\n<p>The annual amount left is then $&pound;\\var{commanumber(aftertax)} - &pound;\\var{commanumber(pensiondeduction)} = &pound;\\var{commanumber(precround(netincome,2))}.$</p>\n<p>{name}'s&nbsp;take home pay per month is hence $\\frac{\\var{netincome}}{12} = &pound;\\var{commanumber(incomepermonth)}$ to the nearest penny.</p>\n<p>You can find more information about calculating percentages in the Mathcentre leaflets available at&nbsp;<a href=\"http://www.mathscentre.ac.uk/types/quick-reference/percentages/\">http://www.mathscentre.ac.uk/types/quick-reference/percentages/</a></p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p>Assuming that the only deductions from {his} salary are income tax and pension contributions, how much does {he} take home&nbsp;per month?</p>\n<p></p>\n<p>&pound; [[0]] (to the nearest penny)</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "", "allowFractions": false, "variableReplacements": [], "maxValue": "incomepermonth", "strictPrecision": true, "minValue": "incomepermonth", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 100, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 2, "scripts": {}, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "type": "numberentry", "correctAnswerStyle": "plain"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>{name} has a salary of <strong>&pound;{commanumber(salary)}</strong> per year.</p>\n<p>{capitalise(he)} does not pay&nbsp;tax on the first&nbsp;<strong>&pound;{commanumber(allowance)}</strong>&nbsp;of {his}&nbsp;salary, but pays income tax at <strong>{tax}%</strong> on the rest.</p>\n<p>{capitalise(he)} also pays a pension contribution, which is <strong>{pension}%</strong>&nbsp;of {his} salary after tax has been deducted.</p>", "variable_groups": [{"variables": ["taxdec", "pensiondec"], "name": "Unnamed group"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"salary": {"definition": "random(18000..50000#1000)", "templateType": "anything", "group": "Ungrouped variables", "name": "salary", "description": ""}, "aftertax": {"definition": "salary-taxedincome", "templateType": "anything", "group": "Ungrouped variables", "name": "aftertax", "description": ""}, "incomepermonth": {"definition": "precround(netincome/12,2)", "templateType": "anything", "group": "Ungrouped variables", "name": "incomepermonth", "description": ""}, "his": {"definition": "if(he='he','his','her')", "templateType": "anything", "group": "Ungrouped variables", "name": "his", "description": ""}, "name": {"definition": "if(he='he',random(['Bob','Bill','Ben','Barry']),random(['Bridget','Beth','Bea','Beatrice']))", "templateType": "anything", "group": "Ungrouped variables", "name": "name", "description": ""}, "netincome": {"definition": "(allowance+(salary-allowance)*(1-tax/100))*(1-pension/100)", "templateType": "anything", "group": "Ungrouped variables", "name": "netincome", "description": ""}, "pensiondeduction": {"definition": "aftertax*pension/100", "templateType": "anything", "group": "Ungrouped variables", "name": "pensiondeduction", "description": ""}, "tax": {"definition": "random(15..30)", "templateType": "anything", "group": "Ungrouped variables", "name": "tax", "description": ""}, "pensiondec": {"definition": "pension/100\n", "templateType": "anything", "group": "Unnamed group", "name": "pensiondec", "description": ""}, "pension": {"definition": "random(3..15)", "templateType": "anything", "group": "Ungrouped variables", "name": "pension", "description": ""}, "taxedincome": {"definition": "(salary-allowance)*tax/100", "templateType": "anything", "group": "Ungrouped variables", "name": "taxedincome", "description": ""}, "taxdec": {"definition": "tax/100\n", "templateType": "anything", "group": "Unnamed group", "name": "taxdec", "description": ""}, "he": {"definition": "random('he','she')", "templateType": "anything", "group": "Ungrouped variables", "name": "he", "description": ""}, "allowance": {"definition": "random(1000..10000#1000)", "templateType": "anything", "group": "Ungrouped variables", "name": "allowance", "description": ""}}, "metadata": {"description": "<p>Given an annual salary, tax allowance, tax rate and pension deduction, work out a person's take-home pay per month.</p>\n<p>Used in Calculator Test.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}