Find the cost price, if :
S.P. = Rs 1,128 and loss = 6%

Answer

To find the cost price (CP) when the selling price (SP) is Rs 1,128 and the loss is 6%, we can follow these steps:

### Step 1: Understand the relationship between SP, CP, and loss.
The formula to calculate the cost price when there is a loss is given by:
\[ CP = \frac{100}{100 - \text{Loss \%}} \times SP \]

### Step 2: Substitute the values into the formula.
Here, the selling price (SP) is Rs 1,128 and the loss percentage is 6%. We can substitute these values into the formula:
\[ CP = \frac{100}{100 - 6} \times 1128 \]

### Step 3: Simplify the expression.
Now, simplify the denominator:
\[ 100 - 6 = 94 \]
So, we can rewrite the equation as:
\[ CP = \frac{100}{94} \times 1128 \]

### Step 4: Calculate the fraction.
Now calculate the fraction:
\[ \frac{100}{94} \approx 1.0638 \]

### Step 5: Multiply by the selling price.
Now, multiply this by the selling price:
\[ CP = 1.0638 \times 1128 \]

### Step 6: Perform the multiplication.
Calculating this gives:
\[ CP \approx 1200 \]

### Final Answer:
Thus, the cost price (CP) is Rs 1,200.

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