Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer
What is the profit earned by selling a watch for Rs. 15675?
I. The cost price of 5 such watches is equal to selling price of 4 such watches.
II. 25% profit is earned by selling each watch.

Options

A. if the Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient
B. if the Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient
C. if both Statement I and II together are needed to answer the question
D. if either the Statement I alone or Statement II alone is to sufficient to answer the question

Answer

To determine the profit earned by selling a watch for Rs. 15,675, we will analyze the two statements provided.

### Step 1: Analyze Statement I
**Statement I:** The cost price of 5 such watches is equal to the selling price of 4 such watches.

Let the cost price of one watch be \( CP \).

According to Statement I:
- Cost price of 5 watches = \( 5 \times CP \)
- Selling price of 4 watches = \( 4 \times SP \)

Since the cost price of 5 watches is equal to the selling price of 4 watches, we can write:
\[ 5 \times CP = 4 \times SP \]

Now, we know the selling price (SP) of one watch is Rs. 15,675:
\[ 5 \times CP = 4 \times 15675 \]
\[ 5 \times CP = 62700 \]
\[ CP = \frac{62700}{5} = 12540 \]

Now we can calculate the profit:
\[ \text{Profit} = SP - CP = 15675 - 12540 = 3135 \]

### Step 2: Analyze Statement II
**Statement II:** 25% profit is earned by selling each watch.

If a 25% profit is earned, we can express this as:
\[ \text{Profit} = 25\% \text{ of } CP \]
This means:
\[ SP = CP + 0.25 \times CP = 1.25 \times CP \]

Given that the selling price (SP) is Rs. 15,675:
\[ 15675 = 1.25 \times CP \]
To find \( CP \):
\[ CP = \frac{15675}{1.25} = 12540 \]

Now we can calculate the profit:
\[ \text{Profit} = SP - CP = 15675 - 12540 = 3135 \]

### Conclusion
Both statements provide sufficient information to determine the profit earned by selling the watch. The profit is Rs. 3,135.

### Final Answer
The profit earned by selling the watch for Rs. 15,675 is Rs. 3,135.