// Numbas version: finer_feedback_settings
{"name": "Q3 Calculating the standard percentage rate", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["name", "salary", "credit", "ans", "rate", "tax"], "name": "Q3 Calculating the standard percentage rate", "tags": ["rebelmaths"], "advice": "<p>First, calculate the gross income tax; $&euro;\\var{credit} + &euro;\\var{tax}$</p>\n<p>Then to find the standard rate of income tax, as a percentage, divide by the salary and multiply by 100.</p>\n<p>To summarise:</p>\n<p><strong>$(\\var{credit} + \\var{tax}) \\div \\frac{\\var{salary}}{100}$</strong></p>\n<p><strong>Or</strong></p>\n<p><strong>$(\\var{credit} + \\var{tax}) \\times\\frac{100}{\\var{salary}} = \\var{ans}$%</strong></p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>$\\var{name}$ has an annual salary of &euro;$\\var{salary}$.&nbsp;His tax credit is &euro;$\\var{credit}$, and he&nbsp;pays income tax on all his income at the&nbsp;standard rate of $x$%. If&nbsp;he pays &euro;$\\var{tax}$ in income tax for the year, find the standard rate ($x$%).</p>\n<p>[[0]]%</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "1", "maxValue": "{ans}", "minValue": "{ans}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": "1", "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>Usually we calculate net tax = gross tax - credits.</p>\n<p>For this question we need to turn that around.</p>\n<p>net tax + credits = gross tax.</p>\n<p>What percentage of his income is the gross tax?</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}], "extensions": [], "statement": "<p>Solve the following to 1 decimal place:</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"salary": {"definition": "random(30000..50000#1000)", "templateType": "anything", "group": "Ungrouped variables", "name": "salary", "description": ""}, "name": {"definition": "  random('Robert','John','Liam','Karl','Victor')", "templateType": "anything", "group": "Ungrouped variables", "name": "name", "description": ""}, "tax": {"definition": "((salary*rate)/100)-credit", "templateType": "anything", "group": "Ungrouped variables", "name": "tax", "description": ""}, "credit": {"definition": "random(2800..3500#100)", "templateType": "anything", "group": "Ungrouped variables", "name": "credit", "description": ""}, "rate": {"definition": "random(18..23)", "templateType": "anything", "group": "Ungrouped variables", "name": "rate", "description": ""}, "ans": {"definition": "({credit}+{tax})/({salary}/100)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans", "description": ""}}, "metadata": {"description": "<p>Income tax</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/"}]}