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What is the number, 11 (1)/2 percent of ...

What is the number, `11 (1)/2` percent of which is Rs.69?

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To find the number of which `11 (1)/2` percent (or 11.5%) is Rs. 69, we can follow these steps: ### Step 1: Understand the Problem We need to find a number (let's call it X) such that 11.5% of X equals Rs. 69. ### Step 2: Set Up the Equation We can express the problem mathematically: \[ 11.5\% \text{ of } X = 69 \] This can be written as: \[ \frac{11.5}{100} \times X = 69 \] ### Step 3: Simplify the Equation To eliminate the percentage, we can rewrite the equation: \[ \frac{11.5}{100} \times X = 69 \] Now, we can multiply both sides by 100 to get rid of the fraction: \[ 11.5 \times X = 69 \times 100 \] This simplifies to: \[ 11.5 \times X = 6900 \] ### Step 4: Solve for X Next, we divide both sides by 11.5 to isolate X: \[ X = \frac{6900}{11.5} \] ### Step 5: Perform the Division Now, we can calculate the division: \[ X = 600 \] ### Final Answer Thus, the number of which `11 (1)/2` percent is Rs. 69 is: \[ \boxed{600} \] ---
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