Selling an item at Rs 999 Rochelle made a loss of 26% . The cost price of the item was

Options

A. Rs 1400
B. Rs 1300
C. Rs 1325
D. Rs 1350

Answer

To find the cost price of the item based on the given selling price and loss percentage, we can follow these steps:

### Step 1: Understand the relationship between cost price, selling price, and loss percentage.
The formula to calculate the selling price when there is a loss is:
\[ \text{Selling Price} = \text{Cost Price} - \text{Loss} \]
Given that the loss percentage is 26%, we can express the loss in terms of the cost price (CP):
\[ \text{Loss} = \frac{\text{Loss Percentage}}{100} \times \text{Cost Price} = \frac{26}{100} \times \text{CP} = 0.26 \times \text{CP} \]

### Step 2: Substitute the loss in the selling price formula.
Now we can rewrite the selling price (SP) formula:
\[ \text{SP} = \text{CP} - 0.26 \times \text{CP} = \text{CP} \times (1 - 0.26) = \text{CP} \times 0.74 \]

### Step 3: Set up the equation with the given selling price.
We know the selling price is Rs 999, so we can set up the equation:
\[ 999 = \text{CP} \times 0.74 \]

### Step 4: Solve for the cost price (CP).
To find the cost price, we need to isolate CP:
\[ \text{CP} = \frac{999}{0.74} \]

### Step 5: Calculate the cost price.
Now we perform the division:
\[ \text{CP} = \frac{999}{0.74} \approx 1350.00 \]

Thus, the cost price of the item is Rs 1350.

### Final Answer:
The cost price of the item was Rs 1350.

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