Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are given the number of years worked, and the price paid. They use the table to look up the percentage discount, then calculate the full price. The number of years and price paid are randomised.
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "\n\n\n\n\nEmployees of the MegaShoppa chain of stores are offered a staff discount on any items they buy from the store. The discount is based on the number of years of service and is detailed in the table below.
\n| Years of service | \nDiscount (%) | \n
| 1 - 4 | \n4 | \n
| 5 - 9 | \n8 | \n
| 10 - 14 | \n12 | \n
| 15 - 19 | \n16 | \n
| 20 - 24 | \n20 | \n
{name1} has worked for Megashoppa for {years} years.
\nFrom the table, the relevant percentage discount is {pdiscount}%.
\nUsing this discount, {name1} paid {100-pdiscount}% (100% - {pdiscount}% ) of the full price.
\n{100-pdiscount}% of the full price = \\${formatnumber(amountpaid,'si-en')}.
\nTo find the full price, divide this amount by {100-pdiscount} to calculate 1% of the full price, then multiply by 100. (This is called the unitary method)
\n\\${formatnumber(amountpaid,'si-en')} ÷ {100-pdiscount} = \\${amountpaid ÷ (100-pdiscount)} (this is 1% of the full price)
\n\\${amountpaid ÷ (100-pdiscount)} x 100 = \\${formatnumber(fullprice,'si-en')}
\nThe full price was \\${formatnumber(fullprice,'si-en')}.
", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"loyaltyfactor": {"name": "loyaltyfactor", "group": "Ungrouped variables", "definition": "(trunc(years/5))+1", "description": "\n\n\nThe loyalty factor, based on years served. This is then scaled up to get the percentage discount.
", "templateType": "anything", "can_override": false}, "name1": {"name": "name1", "group": "Ungrouped variables", "definition": "random('Sam', 'Tino','Julie','Steve','Mia','Gemma','Lucy','Noah','Madi')", "description": "\n\nThe list of names. One is randomly selected.
", "templateType": "anything", "can_override": false}, "amountpaid": {"name": "amountpaid", "group": "Ungrouped variables", "definition": "(1-pdiscount/100)*fullprice", "description": "\n\nThis is the discounted amount. It is given in the question, but calculated from the full price (the answer).
", "templateType": "anything", "can_override": false}, "fullprice": {"name": "fullprice", "group": "Ungrouped variables", "definition": "random(200 .. 4000#100)", "description": "\n\nThis is the full price (original price) of the item.
", "templateType": "randrange", "can_override": false}, "years": {"name": "years", "group": "Ungrouped variables", "definition": "random(2..24)", "description": "\n\nThe number of years the employee has worked for MegaShoppa.
", "templateType": "anything", "can_override": false}, "pdiscount": {"name": "pdiscount", "group": "Ungrouped variables", "definition": "4*loyaltyfactor", "description": "\n\n\nThis is the percentage discount the employee gets, based on their years served (which the loyaltyfactor variable includes).
", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["name1", "years", "loyaltyfactor", "pdiscount", "fullprice", "amountpaid"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "{name1} has worked for Megashoppa for {years} years and paid \\${formatnumber(amountpaid,'si-en')} for an item, using the staff discount.
\nWhat was the full price of the item? Do not enter the dollar sign.
", "minValue": "fullprice", "maxValue": "fullprice", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}]}], "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}