Rachit sells a television for Rs 26,600. He loses `5%`in the bargain. What was the price at which he bought it?

Answer

To find the cost price of the television that Rachit bought, we can follow these steps:

### Step 1: Understand the given information
- Selling Price (SP) = Rs 26,600
- Loss Percentage = 5%

### Step 2: Define the Cost Price (CP)
Let the Cost Price be represented as \( X \).

### Step 3: Calculate the Loss
The loss can be calculated as:
\[ \text{Loss} = \text{Loss Percentage} \times \text{Cost Price} = \frac{5}{100} \times X = 0.05X \]

### Step 4: Set up the equation for Selling Price
According to the relationship between Selling Price, Cost Price, and Loss:
\[ \text{Selling Price} = \text{Cost Price} - \text{Loss} \]
Substituting the values we have:
\[ 26,600 = X - 0.05X \]

### Step 5: Simplify the equation
Combine like terms:
\[ 26,600 = X(1 - 0.05) = X \times 0.95 \]

### Step 6: Solve for Cost Price
To find \( X \), rearrange the equation:
\[ X = \frac{26,600}{0.95} \]

### Step 7: Calculate the value
Now, perform the division:
\[ X = \frac{26,600 \times 100}{95} = \frac{2,660,000}{95} = 28,000 \]

### Conclusion
The Cost Price of the television is Rs 28,000.

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