The price of an article is Rs 8,250 which includes tax at 10%. Find how much more or less does a customer pay for the article, if the tax on the article:
decreases to 6%

Answer

To solve the problem step by step, we will follow the logic presented in the video transcript to find out how much more or less a customer pays when the tax on the article decreases from 10% to 6%.

### Step 1: Identify the Selling Price and Tax Rate
The selling price of the article is given as Rs 8,250, which includes a tax of 10%.

### Step 2: Set Up the Market Price Equation
Let the market price of the article be \( x \). The tax at 10% can be expressed as:
\[ \text{Tax} = 0.10x \]
Thus, the selling price can be expressed as:
\[ \text{Selling Price} = x + 0.10x = 1.10x \]
Given that the selling price is Rs 8,250, we can write:
\[ 1.10x = 8250 \]

### Step 3: Calculate the Market Price
To find the market price \( x \), we rearrange the equation:
\[ x = \frac{8250}{1.10} \]
Calculating this gives:
\[ x = 7500 \]
So, the market price of the article is Rs 7,500.

### Step 4: Calculate the New Selling Price with 6% Tax
Now, if the tax decreases to 6%, the new tax can be expressed as:
\[ \text{New Tax} = 0.06x \]
The new selling price will be:
\[ \text{New Selling Price} = x + 0.06x = 1.06x \]
Substituting the market price:
\[ \text{New Selling Price} = 1.06 \times 7500 \]
Calculating this gives:
\[ \text{New Selling Price} = 7950 \]

### Step 5: Calculate the Difference in Price
Now, we find the difference between the original selling price and the new selling price:
\[ \text{Difference} = 8250 - 7950 = 300 \]

### Conclusion
The customer pays Rs 300 less when the tax decreases from 10% to 6%.

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