Amna purchased a toy for Rs 660 including sales tax. If the rate of sales tax is 10%, then the selling price of the toy is _________.
Text Solution
AI Generated Solution
The correct Answer is:
To find the selling price of the toy before sales tax, we can follow these steps:
### Step 1: Understand the problem
We know that Amna purchased a toy for Rs 660, which includes a sales tax of 10%. We need to find the selling price (SP) of the toy before the sales tax was added.
### Step 2: Set up the equation
Let the selling price of the toy be \( x \). The sales tax is 10% of the selling price, which can be expressed as \( 0.10x \). Therefore, the total amount paid by Amna, which is the selling price plus the sales tax, can be written as:
\[
x + 0.10x = 660
\]
### Step 3: Combine like terms
Combine the terms on the left side of the equation:
\[
1x + 0.10x = 1.10x
\]
So, we can rewrite the equation as:
\[
1.10x = 660
\]
### Step 4: Solve for \( x \)
To find \( x \), we need to isolate it. We can do this by dividing both sides of the equation by 1.10:
\[
x = \frac{660}{1.10}
\]
### Step 5: Calculate the value of \( x \)
Now, we can perform the division:
\[
x = \frac{6600}{110} = 600
\]
### Conclusion
Thus, the selling price of the toy before sales tax is Rs 600.
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