The price of an article is Rs. 8,250 which includes sales tax at 10%. Find how much more or less does
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Question: The price of an article is rs 8250 which includes Tax at 10%. Find how much more or less does a customer pay for the article, if the Tax on the article increases to 15% and decreases to 6%.
It is the complete and correct question.
Solution:-
Let sale price of article = Rs y
Total price inclusive of sales tax= Rs8,250
Rate of sales tax= 10%
8250 = y + 10% of y
Therefore, y = Rs.7500
According to question
(i)New rate of sales tax= 15%
New total price =Rs7,500+15% of Rs7,500
=Rs7,500 + Rs1,125=Rs8,625
More money paid = Rs8,625 - Rs8,250 = Rs375 Ans.
(ii)New rate of sales tax = 6%
New total price= Rs7,500 + 6% of Rs7,500
= Rs7,500 +Rs450 = Rs7,950
Less money paid = Rs8,250 - Rs7,950= Rs300 Ans.
(iii)New rate of sales tax=(10+2)%=12%
New total price= Rs7,500+ 12% of Rs7,500
= Rs7,500+ Rs900= Rs8,400
More money paid= Rs8,400 -Rs8,250= Rs150 Ans.
(iv)New rate of sales tax=(10-3)%= 7%
New total price = Rs7,500+ 7% of Rs7,500
= Rs7,500 + Rs525= Rs8,025
Less money paid = Rs8,250 -Rs8,025 = Rs225
It is the complete and correct question.
Solution:-
Let sale price of article = Rs y
Total price inclusive of sales tax= Rs8,250
Rate of sales tax= 10%
8250 = y + 10% of y
Therefore, y = Rs.7500
According to question
(i)New rate of sales tax= 15%
New total price =Rs7,500+15% of Rs7,500
=Rs7,500 + Rs1,125=Rs8,625
More money paid = Rs8,625 - Rs8,250 = Rs375 Ans.
(ii)New rate of sales tax = 6%
New total price= Rs7,500 + 6% of Rs7,500
= Rs7,500 +Rs450 = Rs7,950
Less money paid = Rs8,250 - Rs7,950= Rs300 Ans.
(iii)New rate of sales tax=(10+2)%=12%
New total price= Rs7,500+ 12% of Rs7,500
= Rs7,500+ Rs900= Rs8,400
More money paid= Rs8,400 -Rs8,250= Rs150 Ans.
(iv)New rate of sales tax=(10-3)%= 7%
New total price = Rs7,500+ 7% of Rs7,500
= Rs7,500 + Rs525= Rs8,025
Less money paid = Rs8,250 -Rs8,025 = Rs225
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