-  Required difference = [3 ½ % of Rs.8400] – [3 1/3 % of Rs.8400]
= [(7/2-(10/3)]% of Rs.8400
=1/6 % of Rs.8400
= Rs. [(1/6)x (1/100) x 8400]
= Rs. 14

The market price of the article = Rs. 8400.

Initial sales tax rate = 3 1/2% = (7/2)%

Final sales tax rate = 3 1/3% = (10/3)%

Let's calculate the initial tax and the final tax for the article:

Initial tax = (7/2)% of 8400 = (7/2)*(1/100)*8400 = Rs. 294

Final tax = (10/3)% of 8400 = (10/3)*(1/100)*8400 = Rs. 280

The difference between the initial tax and the final tax = Rs. (294 - 280) = Rs. 14.

Therefore, if the sales tax is reduced from 3 1/2% to 3 1/3%, then the difference it makes to a person who purchases an article with a market price of Rs. 8400 is Rs. 14.

Some relevant definitions and formulas used in this solution:

• Sales tax: A tax on sales or on the value added to a product or service.
• Percentage: A ratio expressed as a fraction of 100.
• Initial tax: The tax amount calculated based on the initial sales tax rate and the market price of the article.
• Final tax: The tax amount calculated based on the final sales tax rate and the market price of the article.
• Difference: The result of subtracting one quantity from another.
• Formula for calculating tax amount: tax amount = (sales tax rate/100) * market price of the article.

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