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 by 3%.

Answer

To solve the problem step by step, we will follow the reasoning outlined in the video transcript.

### Step 1: Understand the given information
The price of the article is Rs 8,250, which includes a tax of 10%. We need to find out how much more or less a customer pays if the tax decreases by 3%.

### Step 2: Let the market price of the article be \( x \)
The selling price (which includes tax) can be expressed as:
\[ \text{Selling Price} = \text{Market Price} + \text{Tax} \]
Given that the tax is 10% of the market price, we can write:
\[ \text{Tax} = 0.1x \]
Thus, the selling price becomes:
\[ \text{Selling Price} = x + 0.1x = 1.1x \]

### Step 3: Set up the equation
According to the problem, the selling price is Rs 8,250. Therefore, we can set up the equation:
\[ 1.1x = 8250 \]

### Step 4: Solve for \( x \)
To find the market price \( x \), we divide both sides of the equation by 1.1:
\[ x = \frac{8250}{1.1} \]
Calculating this gives:
\[ x = 7500 \]

### Step 5: Calculate the new tax rate
The original tax rate was 10%, and it decreases by 3%, which means the new tax rate is:
\[ 10\% - 3\% = 7\% \]

### Step 6: Calculate the new tax amount
Now, we need to find the new tax amount based on the market price of Rs 7,500:
\[ \text{New Tax} = 0.07 \times 7500 \]
Calculating this gives:
\[ \text{New Tax} = 525 \]

### Step 7: Calculate the old tax amount
The old tax amount was:
\[ \text{Old Tax} = 0.1 \times 7500 = 750 \]

### Step 8: Find the difference in tax
Now, we find the difference in tax that the customer pays:
\[ \text{Difference} = \text{Old Tax} - \text{New Tax} = 750 - 525 = 225 \]

### Step 9: Conclusion
Since the tax decreased, the customer pays Rs 225 less when the tax is reduced from 10% to 7%.

### Final Answer:
The customer pays Rs 225 less.

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