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:
increases to 15%

Answer

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

### Step 1: Identify the given information
The price of the article including tax at 10% is Rs. 8,250.

### Step 2: Let the market price of the article be \( x \)
The total amount paid by the customer includes the market price and the tax. Since the tax is 10%, we can express this as:
\[ \text{Total Price} = x + 0.1x = 1.1x \]
Given that this total price is Rs. 8,250, we can set up the equation:
\[ 1.1x = 8250 \]

### Step 3: Solve for the market price \( x \)
To find \( x \), we divide both sides of the equation by 1.1:
\[ x = \frac{8250}{1.1} \]
Calculating this gives:
\[ x = 7500 \]

### Step 4: Calculate the new selling price with a 15% tax
Now that we have the market price \( x = 7500 \), we need to calculate the new selling price with a 15% tax. The new tax will be:
\[ \text{New Tax} = 0.15x = 0.15 \times 7500 \]
Calculating this gives:
\[ \text{New Tax} = 1125 \]
Thus, the new selling price (SP2) will be:
\[ \text{SP2} = x + \text{New Tax} = 7500 + 1125 = 8625 \]

### Step 5: Find out how much more the customer has to pay
The original selling price (SP1) was Rs. 8,250. To find out how much more the customer has to pay, we calculate:
\[ \text{Difference} = \text{SP2} - \text{SP1} = 8625 - 8250 \]
Calculating this gives:
\[ \text{Difference} = 375 \]

### Conclusion
The customer has to pay Rs. 375 more if the tax increases from 10% to 15%.

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