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Price including VAT of $\\var{VAT}$% = $\\var{price}$% (Total Vat $= \\var{VATa}$%)
\nFirst get 1%, then multipy by 100 to get 100% or price before VAT.
\nThen, multiply by $\\var{VATnewa}$%, (or multiply by $\\frac{\\var{VATnewa}}{100})$
\n$(\\var{price} \\div \\frac{\\var{VATa}}{100})$
\nOr
\n$\\var{price} \\times \\frac{100}{\\var{VATa}} = \\var{ans}$
\n\nNote:
\nThis question might require an awkward long division. If you are having problems with getting a correct answer you may need to work up to 5 or 6 decimal places in your long division.
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\nNote, this question might require an awkward long division. If you are having problems with getting a correct answer you may need to work up to 5 or 6 decimal places in your long division.
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", "variables": {"VATnew": {"templateType": "anything", "description": "", "definition": "random(20..24 except VAT)", "group": "Ungrouped variables", "name": "VATnew"}, "price": {"templateType": "anything", "description": "", "definition": "random(80..250#0.01)", "group": "Ungrouped variables", "name": "price"}, "VATa": {"templateType": "anything", "description": "", "definition": "100+{VAT}", "group": "Ungrouped variables", "name": "VATa"}, "VAT": {"templateType": "anything", "description": "", "definition": "random(13.5,21,21.5,22,22.5,23)", "group": "Ungrouped variables", "name": "VAT"}, "VATnewa": {"templateType": "anything", "description": "", "definition": "100 + {VATnew}", "group": "Ungrouped variables", "name": "VATnewa"}, "ans": {"templateType": "anything", "description": "", "definition": "{price}/({VATa}/100)", "group": "Ungrouped variables", "name": "ans"}}, "name": "Simon's copy of Q13 VAT", "ungrouped_variables": ["VAT", "VATnew", "price", "ans", "VATa", "VATnewa"], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}]}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}