// Numbas version: exam_results_page_options
{"name": "Percentages: In Context - Calculating income based on commission", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Percentages: In Context - Calculating income based on commission", "tags": [], "metadata": {"description": "<p>Calculating a salesperson's income based on years of service and commission from sales</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>An educational book seller&nbsp;pays its sales staff&nbsp;a monthly retainer (base level of pay) depending on their years of service. The&nbsp;retainer is given in Table 1 below.</p>\n<p>They also&nbsp;pay a commission based on the sales person's total sales for the month. If sales are below \\$500, no commission is paid. Otherwise, the&nbsp;commission&nbsp;is given in Table 2 below.</p>\n<p><em>Table 1</em></p>\n<table border=\"yes\" style=\"float: left;\">\n<tbody>\n<tr>\n<td><strong>Full years of service&nbsp;</strong></td>\n<td><strong>Retainer</strong></td>\n</tr>\n<tr>\n<td>0 - 2</td>\n<td>\\$600</td>\n</tr>\n<tr>\n<td>3 - 5</td>\n<td>\\$700</td>\n</tr>\n<tr>\n<td>6 - 8</td>\n<td>\\$800</td>\n</tr>\n<tr>\n<td>9 and above</td>\n<td>\\$900</td>\n</tr>\n</tbody>\n</table>\n<p><br/><br/><br/><br/><br/><br/><br/></p>\n<p><em>Table 2</em></p>\n<table border=\"yes\" style=\"float: left;\">\n<tbody>\n<tr>\n<td><strong>Monthly sales</strong></td>\n<td><strong>Commission</strong></td>\n</tr>\n<tr>\n<td>\\$500 - \\$799</td>\n<td>15%</td>\n</tr>\n<tr>\n<td>\\$800 - \\$899</td>\n<td>18%</td>\n</tr>\n<tr>\n<td>\\$900 - \\$999</td>\n<td>21%</td>\n</tr>\n<tr>\n<td>\\$1000 and over</td>\n<td>24%</td>\n</tr>\n</tbody>\n</table>\n<p><br/><br/><br/><br/><br/><br/></p>", "advice": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p><strong></strong><strong>Retainer</strong></p>\n<p>{name} has been working as a book seller for {years} year<span data-jme-visible=\"years&gt;1\">s</span>. According to Table 1, the retainer is \\${retainer}.</p>\n<p><strong>Commission</strong></p>\n<div data-jme-visible=\"commissionrate=0\">\n<p>{name}'s sales for the month were \\${trim(dpformat(sales,0,\"si-en\"))}, so no commission is payable.</p>\n</div>\n<div data-jme-visible=\"commissionrate&gt;0\">\n<p>{name}'s sales for the month were \\${trim(dpformat(sales,0,\"si-en\"))}. According to Table 2, the commission rate is {commissionrate*100}%.</p>\n<p>The commission earnt is&nbsp;{commissionrate*100}% of \\${trim(dpformat(sales,0,\"si-en\"))}.</p>\n<p>{commissionrate*100}% of \\${trim(dpformat(sales,0,\"si-en\"))} =&nbsp;{commissionrate} x \\${trim(dpformat(sales,0,\"si-en\"))} = \\${trim(split(dpformat(commissionrate*sales,2,\"si-en\"),\".00\")[0])}</p>\n</div>\n<p><strong>Income</strong></p>\n<p>Income = Retainer + &nbsp;Commission = \\${trim(split(dpformat(retainer,2,\"si-en\"),\".00\")[0])} + \\${trim(split(dpformat(commissionrate*sales,2,\"si-en\"),\".00\")[0])} = \\${trim(split(dpformat(retainer+commissionrate*sales,2,\"si-en\"),\".00\")[0])}</p>\n<div data-jme-visible=\"trunc(income)=income\">\n<p>{name}'s income is \\${trim(dpformat(income,0,\"si-en\"))}.</p>\n</div>\n<div data-jme-visible=\"trunc(income)&lt;&gt;income\">\n<p>Rounded to the nearest dollar, {name}'s income is \\${trim(dpformat(income,0,\"si-en\"))}.</p>\n</div>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"years": {"name": "years", "group": "Ungrouped variables", "definition": "random(1 .. 10#0.5)", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The number of years that the bookseller has been working for the company.</p>", "templateType": "randrange", "can_override": false}, "income": {"name": "income", "group": "Ungrouped variables", "definition": "retainer+commissionrate*sales", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The income, based on retainer plus commission.</p>", "templateType": "anything", "can_override": false}, "retainer": {"name": "retainer", "group": "Ungrouped variables", "definition": "switch({years}<3,600,{years}<6,700,{years}<9,800,900)", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The retainer paid, based on the years of service.</p>", "templateType": "anything", "can_override": false}, "name": {"name": "name", "group": "Ungrouped variables", "definition": "random(\"Maria\",\"Frances\",\"Maysa\",\"Gia\",\"Lin\",\"Yousif\",\"James\")", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The name of the book seller.</p>", "templateType": "anything", "can_override": false}, "sales": {"name": "sales", "group": "Ungrouped variables", "definition": "random(250 .. 1650#10)", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The dollar value of the sales for the given month.</p>", "templateType": "randrange", "can_override": false}, "commissionrate": {"name": "commissionrate", "group": "Ungrouped variables", "definition": "switch({sales}<500,0,{sales}<800,0.15,{sales}<900,0.18,{sales}<1000,0.21,0.24)", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The commission rate as a decimal, based on the monthly sales amount.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["name", "years", "retainer", "sales", "commissionrate", "income"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>{name} has been working for the book selling company for {years} year<span data-jme-visible=\"years&gt;1\">s</span>. Last month, {name} sold books worth a total of \\${trim(dpformat(sales,0,\"si-en\"))}.</p>\n<p>Calculate {name}'s before-tax income for the month. Enter your answer, rounded to the nearest dollar.</p>\n<p>\\$[[0]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "income", "maxValue": "income", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}, {"name": "Ruth Hand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3228/"}, {"name": "Ben McGovern", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4872/"}]}]}], "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}, {"name": "Ruth Hand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3228/"}, {"name": "Ben McGovern", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4872/"}]}