A tourist spends daily as many rupees as the number of days of his total tour. If his total expenses were Rs. 361, then how many days did his tour last ?

Options

A. 17 days
B. 19 days
C. 21 days
D. 31 days

Answer

To solve the problem, we can break it down into the following steps:

### Step 1: Define the Variables
Let the number of days of the tour be \( x \). According to the problem, the tourist spends \( x \) rupees per day.

### Step 2: Set Up the Equation
The total expenses for the tour can be expressed as the daily expense multiplied by the number of days:
\[ \text{Total Expenses} = \text{Daily Expense} \times \text{Number of Days} = x \times x = x^2 \]
Given that the total expenses were Rs. 361, we can set up the equation:
\[ x^2 = 361 \]

### Step 3: Solve for \( x \)
To find \( x \), we take the square root of both sides of the equation:
\[ x = \sqrt{361} \]
Calculating the square root, we find:
\[ x = 19 \]

### Step 4: Conclusion
The number of days the tourist's tour lasted is \( 19 \) days.

### Final Answer
Thus, the tour lasted for **19 days**.

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