Each of the questions given below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement sufficient to answer the question.
Read both the statements and give answer
What was the percentage of discount given on marked price of the table?
I `14%` profit was earned by selling the table for ₹7410. If there .were no discount, per cent profit would have been `30%`.
II The cost price of the table is ₹6500.

Options

A. if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C. if the date in statement I alone or in statement II alone are sufficient to answer the question.
D. if tile data in both the statements I and II are not sufficient to answer the question.

Answer

To determine the percentage of discount given on the marked price of the table, we will analyze the two statements provided.

### Step-by-Step Solution:

**Step 1: Analyze Statement I**
- The statement mentions that a profit of 14% was earned by selling the table for ₹7410.
- It also states that if there were no discount, the profit would have been 30%.

**Step 2: Calculate the Cost Price (CP) from Statement I**
- We know that Selling Price (SP) = Cost Price (CP) + Profit.
- Given that a profit of 14% corresponds to the selling price of ₹7410, we can express this as:
\[ SP = CP + (14\% \text{ of } CP) = CP + 0.14 \times CP = 1.14 \times CP \]
- Therefore, we can set up the equation:
\[ 1.14 \times CP = 7410 \]
- Solving for CP:
\[ CP = \frac{7410}{1.14} = 6500 \]

**Step 3: Calculate the Selling Price if there were no Discount**
- If there were no discount, the profit would have been 30%. Thus:
\[ SP = CP + (30\% \text{ of } CP) = CP + 0.30 \times CP = 1.30 \times CP \]
- Substituting the value of CP:
\[ SP = 1.30 \times 6500 = 8450 \]
- This selling price of ₹8450 is the marked price (MP) since it is the price without any discount.

**Step 4: Calculate the Discount**
- The discount can be calculated as:
\[ \text{Discount} = MP - SP = 8450 - 7410 = 1040 \]

**Step 5: Calculate the Percentage of Discount**
- The percentage of discount is given by:
\[ \text{Percentage of Discount} = \left(\frac{\text{Discount}}{MP}\right) \times 100 = \left(\frac{1040}{8450}\right) \times 100 \]
- Performing the calculation:
\[ \text{Percentage of Discount} \approx 12.3\% \]

### Conclusion:
From Statement I alone, we can determine that the percentage of discount given on the marked price of the table is approximately **12.3%**.

### Analysis of Statement II:
- Statement II provides the cost price (CP) of the table as ₹6500 but does not provide any information about the marked price (MP) or selling price (SP) without discount. Therefore, this statement alone is insufficient to answer the question.

### Final Answer:
- The first statement alone is sufficient to answer the question, while the second statement is not sufficient.