A gold bracelet is sold forX14500 at a loss of 20%. What is the cost price of the gold bracelet?

Options

A. Rs 18125
B. Rs 17400
C. Rs 15225
D. Rs 16800

Answer

To find the cost price (CP) of the gold bracelet that is sold for Rs. 14,500 at a loss of 20%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Loss Percentage
The formula to calculate the Selling Price when there is a loss is:
\[ \text{SP} = \text{CP} \times (1 - \text{Loss Percentage}) \]

### Step 2: Substitute the values into the formula
Given that the Selling Price (SP) is Rs. 14,500 and the Loss Percentage is 20%, we can express this as:
\[ \text{SP} = \text{CP} \times (1 - 0.20) \]
\[ 14,500 = \text{CP} \times 0.80 \]

### Step 3: Rearrange the equation to find CP
To find the Cost Price (CP), we can rearrange the equation:
\[ \text{CP} = \frac{\text{SP}}{0.80} \]

### Step 4: Substitute the Selling Price into the equation
Now, substitute the Selling Price into the equation:
\[ \text{CP} = \frac{14,500}{0.80} \]

### Step 5: Calculate the Cost Price
Now, perform the calculation:
\[ \text{CP} = \frac{14,500}{0.80} = 18,125 \]

### Conclusion
The Cost Price of the gold bracelet is Rs. 18,125.

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