Mohit bought a shirt for Rs. 1337.50 including VAT at 7% . Find the original price of the shirt.

Answer

To find the original price of the shirt that Mohit bought for Rs. 1337.50 including VAT at 7%, we can follow these steps:

### Step 1: Understand the relationship between Sale Price and Original Price
The sale price (SP) includes the original price (OP) plus the VAT. The formula to express this relationship is:
\[ SP = OP + VAT \]
Where VAT can be expressed as a percentage of the original price:
\[ VAT = \frac{7}{100} \times OP \]

### Step 2: Express the Sale Price in terms of Original Price
From the above relationship, we can rewrite the sale price as:
\[ SP = OP + \frac{7}{100} \times OP \]
This can be simplified to:
\[ SP = OP \left(1 + \frac{7}{100}\right) \]
\[ SP = OP \left(\frac{100 + 7}{100}\right) \]
\[ SP = OP \left(\frac{107}{100}\right) \]

### Step 3: Substitute the Sale Price
Now, we know that the sale price (SP) is Rs. 1337.50. Therefore, we can substitute this value into the equation:
\[ 1337.50 = OP \left(\frac{107}{100}\right) \]

### Step 4: Solve for Original Price
To find the original price (OP), we can rearrange the equation:
\[ OP = 1337.50 \times \frac{100}{107} \]
Now, we can calculate this:
\[ OP = 1337.50 \times 0.934579439 \]
\[ OP \approx 1240.00 \]

### Step 5: Conclusion
Thus, the original price of the shirt before VAT was approximately Rs. 1240.00.

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