By selling a TV for' 1056, Ram loses 12%. Find Its cost price.

Options

A. 1250
B. 1100
C. 1150
D. 1200

Answer

To find the cost price (CP) of the TV that Ram sold for ₹1056 with a loss of 12%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Loss
When there is a loss, the Selling Price is less than the Cost Price. The relationship can be expressed as:
\[ \text{SP} = \text{CP} - \text{Loss} \]

### Step 2: Calculate the Loss
The loss percentage is given as 12%. We can express this as a fraction:
\[ \text{Loss} = \frac{12}{100} \times \text{CP} \]

### Step 3: Substitute the Selling Price into the equation
We know the Selling Price (SP) is ₹1056. Thus, we can rewrite the equation:
\[ 1056 = \text{CP} - \left(\frac{12}{100} \times \text{CP}\right) \]

### Step 4: Simplify the equation
Factor out CP from the right side:
\[ 1056 = \text{CP} \left(1 - \frac{12}{100}\right) \]
\[ 1056 = \text{CP} \left(\frac{100 - 12}{100}\right) \]
\[ 1056 = \text{CP} \left(\frac{88}{100}\right) \]

### Step 5: Solve for Cost Price (CP)
To find CP, we can rearrange the equation:
\[ \text{CP} = 1056 \times \frac{100}{88} \]

### Step 6: Calculate the value
Now, calculate the value:
\[ \text{CP} = 1056 \times \frac{100}{88} = 1056 \times \frac{25}{22} \]
\[ \text{CP} = 1056 \times 1.13636 \approx 1200 \]

### Conclusion
The Cost Price (CP) of the TV is ₹1200.