Study the given graph and answer the question that follows.
The number of weeks, in which the cost of living index was 160 or more but less than 190, is approximately what percent more than the number of weeks in which the cost of living index was 200 or more but less than 220 (correct to one decimal place)?

Options

A. 36.8
B. 58.3
C. 44.4
D. 60.6

Answer

To solve the problem, we need to analyze the given graph to determine the number of weeks for two specific ranges of the cost of living index (C.I.) and then calculate the percentage difference.

### Step-by-Step Solution:

1. **Identify the Range for C.I. 160 to 190:**
- We need to find the number of weeks where the cost of living index (C.I.) is **160 or more but less than 190**.
- From the graph, we can see the following values:
- Weeks with C.I. 160-170: **4 weeks**
- Weeks with C.I. 170-180: **6 weeks**
- Weeks with C.I. 180-190: **9 weeks**
- Total weeks in this range = 4 + 6 + 9 = **19 weeks**.

2. **Identify the Range for C.I. 200 to 220:**
- Now, we need to find the number of weeks where the C.I. is **200 or more but less than 220**.
- From the graph, we can see the following values:
- Weeks with C.I. 200-210: **7 weeks**
- Weeks with C.I. 210-220: **5 weeks**
- Total weeks in this range = 7 + 5 = **12 weeks**.

3. **Calculate the Percentage Increase:**
- We need to find out how much more the number of weeks in the first range (160 to 190) is compared to the second range (200 to 220) as a percentage.
- The formula for percentage increase is:
\[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]
- Here, the New Value is 19 weeks (C.I. 160-190) and the Old Value is 12 weeks (C.I. 200-220).
- Plugging in the values:
\[ \text{Percentage Increase} = \left( \frac{19 - 12}{12} \right) \times 100 = \left( \frac{7}{12} \right) \times 100 \approx 58.33\% \]
- Rounding to one decimal place, we get **58.3%**.

### Final Answer:
The number of weeks in which the cost of living index was 160 or more but less than 190 is approximately **58.3%** more than the number of weeks in which the cost of living index was 200 or more but less than 220.