// Numbas version: exam_results_page_options
{"name": "the rate of return", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "functions": {}, "parts": [{"variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true, "showFeedbackIcon": true, "useCustomName": false, "scripts": {}, "marks": 0, "sortAnswers": false, "customName": "", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "prompt": "<p>An investment of $\\$\\var{c0}$ is made and $\\var{years}$ years later it is worth $\\$\\var{c1}$. What was the rate of return?</p>\n<p></p>\n<p>[[0]] $\\%$ (to 2 decimal places)</p>", "gaps": [{"unitTests": [], "maxValue": "r", "showPrecisionHint": false, "variableReplacements": [], "type": "numberentry", "showFeedbackIcon": true, "precisionMessage": "You have not given your answer correct to&nbsp;two decimal places.", "marks": 1, "allowFractions": false, "minValue": "r", "customName": "", "mustBeReduced": false, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "correctAnswerStyle": "plain", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": 0, "useCustomName": false, "scripts": {}, "mustBeReducedPC": 0, "correctAnswerFraction": false, "customMarkingAlgorithm": "", "strictPrecision": false, "precisionType": "dp", "precision": "2"}]}], "advice": "<p>We are asked to find the&nbsp;interest&nbsp;rate using simple&nbsp;interest. Therefore we would use the equation</p>\n<p>$\\displaystyle r=\\frac{c_1-c_0}{c_0}$</p>\n<p>where $r$ is the rate of return, $c_1$ is the final value of the investment and $c_0$ is the initial value of the investment.</p>\n<p></p>\n<p>In our&nbsp;situation we have,&nbsp;</p>\n<p>$\\displaystyle r=\\frac{\\var{c1}-\\var{c0}}{\\var{c0}}$</p>\n<p></p>\n<p>Calculating this we find</p>\n<p>$\\begin{align}r&amp;\\approx\\var{rdec}\\\\&amp;=\\var{rrounded}\\%\\text{ &nbsp; &nbsp; &nbsp; &nbsp;(to 2 decimal places)}\\end{align}$</p>", "extensions": [], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "Financial maths questions. Determine the rate of return of an investment."}, "ungrouped_variables": ["years", "c0", "c1", "rdec", "r", "rrounded"], "name": "the rate of return", "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "statement": "<p>If you are unsure of how to do&nbsp;a question, click on&nbsp;<em>Reveal answers</em>&nbsp;to see the full working. Then, once you understand how to do the question, click on&nbsp;<em>Try another question like this one</em>&nbsp;to start again. Do each question repeatedly to ensure you have mastered it.</p>", "rulesets": {}, "preamble": {"css": "", "js": ""}, "variables": {"c1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "c1", "definition": "c0+random(500..c0/2#100)"}, "rdec": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "rdec", "definition": "(c1-c0)/c0"}, "rrounded": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "rrounded", "definition": "precround(r,2)"}, "r": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "r", "definition": "rdec*100"}, "years": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "years", "definition": "random(2..5)"}, "c0": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "c0", "definition": "random(2000..10000#200)"}}, "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}