A shopkeeper offers `19%` discount on mobile phone with a marked price of Rs 7400. If he still earns a profit of Rs 500, what is the cost price of the phone?

Options

A. Rs 6900
B. Rs 8340
C. Rs 5494
D. Rs 4950

Answer

To find the cost price of the mobile phone, we can follow these steps:

### Step 1: Calculate the Discount
The shopkeeper offers a discount of 19% on the marked price of Rs 7400.

**Calculation:**
\[ \text{Discount} = \frac{19}{100} \times 7400 \]
\[ \text{Discount} = 0.19 \times 7400 = 1406 \]

### Step 2: Calculate the Selling Price
The selling price can be calculated by subtracting the discount from the marked price.

**Calculation:**
\[ \text{Selling Price} = \text{Marked Price} - \text{Discount} \]
\[ \text{Selling Price} = 7400 - 1406 = 5994 \]

### Step 3: Calculate the Cost Price
We know that the shopkeeper earns a profit of Rs 500. The cost price can be calculated by subtracting the profit from the selling price.

**Calculation:**
\[ \text{Cost Price} = \text{Selling Price} - \text{Profit} \]
\[ \text{Cost Price} = 5994 - 500 = 5494 \]

### Final Answer
The cost price of the mobile phone is Rs 5494.

---