Let's denote the market price of the article as P.

The initial sales tax is 3 1/2%, which is equal to 3.5% or 0.035 in decimal form.
The reduced sales tax is 3 1/3%, which is equal to 3.333...% or 3.333.../100 in decimal form. To convert this to a decimal, we can express 1/3 as 0.333... (repeating), so 3 1/3% is 0.03333... (repeating).

The difference in sales tax is the initial tax minus the reduced tax, which is 0.035 - 0.03333... = 0.001666... (repeating).

The difference in the amount of sales tax paid due to the reduction is Rs. 12.99999999999999 (which we can round to Rs. 13 for practical purposes).

So, we can set up the equation:

0.001666... * P = 13

To solve for P, we divide both sides of the equation by 0.001666...:

P = 13 / 0.001666...

To get a precise value, we need to use the exact value of 1/600 for the repeating decimal 0.001666...:

P = 13 / (1/600)

Now, we multiply both the numerator and the denominator by 600 to clear the fraction:

P = 13 * 600 / 1

P = 7800

Therefore, the market price of the article is Rs. 7800.
기사의 시장 가격을 P라고 표시하겠습니다.

초기 판매세는 3 1/2%로 소수점 이하 3.5% 또는 0.035에 해당합니다.
감면된 판매세는 3 1/3%로 소수점 이하 3.333...% 또는 소수점 이하 3.333.../100에 해당합니다. 이를 소수로 변환하려면 1/3을 0.333...(반복)로 표현하면 3 1/3%는 0.03333...(반복)이 됩니다.

판매세 차액은 초기 세금에서 감면된 세금을 뺀 값으로 0.035 - 0.03333... = 0.001666... (반복)입니다.

감면으로 인해 납부하는 판매세 금액의 차이는 12.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999