Latika bought a teapot for Rs 120 and a set of cups for Rs 400. She sold teapot at a profit of 5% and cups at a loss of 5%. The amount received by her is

Options

A. Rs 494
B. Rs 546
C. Rs 506
D. Rs 534

Answer

To solve the problem step by step, we will calculate the selling price of the teapot and the cups separately, and then find the total amount received by Latika.

### Step 1: Calculate the Selling Price of the Teapot
1. **Cost Price of the Teapot**: Rs. 120
2. **Profit Percentage**: 5%
3. **Profit Amount**:
\[ \text{Profit} = \frac{5}{100} \times 120 = 6 \]
4. **Selling Price of the Teapot**:
\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} = 120 + 6 = 126 \]

### Step 2: Calculate the Selling Price of the Cups
1. **Cost Price of the Cups**: Rs. 400
2. **Loss Percentage**: 5%
3. **Loss Amount**:
\[ \text{Loss} = \frac{5}{100} \times 400 = 20 \]
4. **Selling Price of the Cups**:
\[ \text{Selling Price} = \text{Cost Price} - \text{Loss} = 400 - 20 = 380 \]

### Step 3: Calculate the Total Amount Received
1. **Total Amount Received**:
\[ \text{Total Amount} = \text{Selling Price of Teapot} + \text{Selling Price of Cups} = 126 + 380 = 506 \]

### Final Answer
The total amount received by Latika is **Rs. 506**.

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