Question

The number of black tea users in city “P” is what percent of coffee users in city “S”?

• A. 72
• B. 77
• C. 66
• D. 69

Hint:

To estimate this quickly:
We know \( \frac{1}{13} \approx 7.69% \).
Therefore, \( \frac{9}{13} \approx 9 \times 7.69% = 69.21% \). This approximation matches Option (D) immediately.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
To express one value as a percentage of another, we divide the base value by the comparison value and multiply the result by 100.
Key Formula or Approach:
\[ \text{Percentage} = \left( \frac{\text{Number of Black Tea users in P}}{\text{Number of Coffee users in S}} \right) \times 100 \]

Step 2: Detailed Explanation:
Let us extract the specific values from the data table:
- Number of Black Tea users in City P = 450
- Number of Coffee users in City S = 650
Now, apply these values to the percentage formula:
\[ \text{Percentage} = \left( \frac{450}{650} \right) \times 100 \] Simplify the fraction by dividing the numerator and denominator by 50:
\[ \frac{450}{50} = 9 \] \[ \frac{650}{50} = 13 \] So:
\[ \text{Percentage} = \frac{9}{13} \times 100 = \frac{900}{13} \] Now, divide 900 by 13 to find the decimal value:
- \( 13 \times 6 = 78 \)
Subtract 78 from 90: \( 90 - 78 = 12 \), and bring down the 0 to make it 120.
- \( 13 \times 9 = 117 \)
Subtract 117 from 120: \( 120 - 117 = 3 \).
- This gives \( 69.23% \).
Rounding this to the nearest whole integer gives 69%.

Step 3: Final Answer:
The correct option is (D).