Study the following table carefully and answer the questions given below it. Number of candidates appearing for an interview for a post in Bank and percentage of candidates qualifying
Figure
What was the respective ratio of the number of candidates who qualified in bank A to the number of candidates who qualified in bank E?

Options

A. `5:6`
B. `2:5`
C. `3:7`
D. `5:8`

Answer

To solve the problem of finding the respective ratio of the number of candidates who qualified in Bank A to the number of candidates who qualified in Bank E, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of candidates and qualifying percentage for Bank A and Bank E:**
- For Bank A:
- Number of candidates appearing = 1500
- Percentage qualifying = 14%
- For Bank E:
- Number of candidates appearing = 1200
- Percentage qualifying = 28%

2. **Calculate the number of candidates who qualified in Bank A:**
- Qualified candidates in Bank A = (14/100) * 1500
- Calculation:
\[ = 1500 \times 0.14 = 210 \]

3. **Calculate the number of candidates who qualified in Bank E:**
- Qualified candidates in Bank E = (28/100) * 1200
- Calculation:
\[ = 1200 \times 0.28 = 336 \]

4. **Form the ratio of candidates who qualified in Bank A to those who qualified in Bank E:**
- Ratio = Qualified candidates in Bank A : Qualified candidates in Bank E
- Ratio = 210 : 336

5. **Simplify the ratio:**
- To simplify the ratio, divide both numbers by their greatest common divisor (GCD).
- The GCD of 210 and 336 is 42.
- Simplifying:
\[ \frac{210 \div 42}{336 \div 42} = \frac{5}{8} \]

6. **Final Answer:**
- The respective ratio of the number of candidates who qualified in Bank A to the number of candidates who qualified in Bank E is **5 : 8**.