A person buys a radio for Rs 1030 and he spent Rs 50 on its repairs. If he sold it for Rs 1200, then find the profit per cent.

Options

A. `10 (1)/(3)`
B. `11 (1)/(9)`
C. `12 (1)/(2)`
D. None of these

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the Total Cost Price (CP)
The cost price of the radio is given as Rs. 1030, and the repair cost is Rs. 50.

Total Cost Price (CP) = Cost Price of the radio + Repair Cost
\[ CP = 1030 + 50 = 1080 \]

### Step 2: Identify the Selling Price (SP)
The selling price of the radio is given as Rs. 1200.

### Step 3: Calculate the Profit
Profit can be calculated using the formula:
\[ \text{Profit} = \text{Selling Price (SP)} - \text{Cost Price (CP)} \]
Substituting the values:
\[ \text{Profit} = 1200 - 1080 = 120 \]

### Step 4: Calculate the Profit Percentage
Profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price (CP)}} \right) \times 100 \]
Substituting the values:
\[ \text{Profit Percentage} = \left( \frac{120}{1080} \right) \times 100 \]
Calculating this gives:
\[ \text{Profit Percentage} = \frac{120 \times 100}{1080} = \frac{12000}{1080} \approx 11.11\% \]

### Final Result
The profit percentage is approximately **11.11%**.

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