A shopkeeper sells an article for Rs 21,384 including 10% tax. However, the actual rate of Tax is 8%. Find the extra profit made by the dealer.

Answer

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

### Step 1: Understand the Selling Price and Tax
The selling price (SP) of the article is given as Rs 21,384, which includes a 10% tax.

### Step 2: Set Up the Equation
Let the cost price (CP) of the article be \( x \). The tax at 10% on the cost price is \( 0.1x \). Therefore, the selling price can be expressed as:
\[ SP = CP + \text{Tax} = x + 0.1x = 1.1x \]
Given that the selling price is Rs 21,384:
\[ 1.1x = 21,384 \]

### Step 3: Calculate the Cost Price
To find the cost price \( x \), we rearrange the equation:
\[ x = \frac{21,384}{1.1} \]
Calculating this gives:
\[ x = 19,440 \]

### Step 4: Calculate the Tax at Actual Rate
The actual tax rate is 8%. Therefore, the tax on the cost price at 8% is:
\[ \text{Tax at 8%} = 0.08 \times 19,440 = 1,555.20 \]

### Step 5: Calculate the Tax at Increased Rate
The tax at the increased rate of 10% is:
\[ \text{Tax at 10%} = 0.1 \times 19,440 = 1,944 \]

### Step 6: Calculate the Extra Profit
The extra profit made by the dealer due to the increase in tax from 8% to 10% is the difference between the two tax amounts:
\[ \text{Extra Profit} = \text{Tax at 10%} - \text{Tax at 8%} = 1,944 - 1,555.20 = 388.80 \]

### Final Answer
The extra profit made by the dealer is Rs 388.80.

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