The price of a washing machine, inclusive of Tax, is Rs 13,530/-. If the tax is 10%, find its basic (cost) price.

Answer

To find the basic (cost) price of the washing machine, we can follow these steps:

### Step 1: Define the variables
Let the basic cost price of the washing machine be denoted as \( x \).

### Step 2: Understand the tax implication
The tax on the washing machine is given as 10%. Therefore, the tax amount can be expressed as:
\[ \text{Tax} = 10\% \text{ of } x = 0.1x \]

### Step 3: Write the total price equation
The total price of the washing machine, which includes the basic cost price and the tax, can be written as:
\[ \text{Total Price} = \text{Basic Cost Price} + \text{Tax} = x + 0.1x = 1.1x \]

### Step 4: Set up the equation with the given total price
According to the problem, the total price of the washing machine is Rs 13,530. Therefore, we can set up the equation:
\[ 1.1x = 13,530 \]

### Step 5: Solve for \( x \)
To find \( x \), we can divide both sides of the equation by 1.1:
\[ x = \frac{13,530}{1.1} \]

### Step 6: Calculate \( x \)
Now, we perform the division:
\[ x = \frac{13,530}{1.1} = 12,300 \]

### Conclusion
The basic (cost) price of the washing machine is Rs 12,300.

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