In each of the following questions a question is followed by information given in three statements. You have to study the question along with statements and decide the information given in which of the statement(s) is necessary and sufficient to answer the question.
What is the selling price of the T.V. set if no discount is offered ?
Profit earned was `20%`
Had `10%` discount been offered on selling price the profit would have been Rs. 1200
Cost price is Rs. 15000

Options

A. Any two of the three
B. Only 1 and 2
C. Only 1 and 3
D. Only 2 and 3

Answer

To solve the question, we need to find the selling price (SP) of the T.V. set when no discount is offered. We will analyze the given statements one by one to determine the necessary information.

### Given Information:
- Profit earned was 20%.
- Had a 10% discount been offered on the selling price, the profit would have been Rs. 1200.
- Cost price (CP) is Rs. 15000.

### Step-by-Step Solution:

1. **Identify the Cost Price (CP)**:
- From the information given, we know that the cost price (CP) of the T.V. is Rs. 15000.

2. **Calculate the Selling Price (SP) with 20% Profit**:
- Profit percentage is given as 20%.
- The formula for selling price when profit is involved is:
\[ SP = CP + (Profit \% \times CP) \]
- Substituting the values:
\[ SP = 15000 + (20\% \times 15000) \]
- Converting 20% to decimal:
\[ 20\% = \frac{20}{100} = 0.2 \]
- Therefore:
\[ SP = 15000 + (0.2 \times 15000) = 15000 + 3000 = 18000 \]

3. **Verify with Statement about Discount**:
- According to the second statement, if a 10% discount is offered on the selling price, the profit would be Rs. 1200.
- The new selling price after a 10% discount can be calculated as:
\[ New\ SP = SP - (10\% \times SP) = SP - 0.1 \times SP = 0.9 \times SP \]
- Substituting the SP we found:
\[ New\ SP = 0.9 \times 18000 = 16200 \]
- The profit when selling at this new price is:
\[ Profit = New\ SP - CP = 16200 - 15000 = 1200 \]
- This confirms the information given in the second statement.

### Conclusion:
The selling price of the T.V. set when no discount is offered is **Rs. 18000**.