What is the ratio of total exports to total Imports during the five financial years?

Options

A. `3199:3073`
B. `4175:4011`
C. `3073:3199`
D. `4011:4175`

Answer

To find the ratio of total exports to total imports over five financial years, we will follow these steps:

### Step 1: Gather Export Data
First, we need to collect the export values for each of the five financial years. According to the video transcript, the exports are as follows:
- Year 1: 638
- Year 2: 1661
- Year 3: 1538
- Year 4: 1305
- Year 5: 639

### Step 2: Calculate Total Exports
Now, we will sum these export values:
\[ \text{Total Exports} = 638 + 1661 + 1538 + 1305 + 639 \]
Calculating this step-by-step:
1. \( 638 + 1661 = 2299 \)
2. \( 2299 + 1538 = 3837 \)
3. \( 3837 + 1305 = 5142 \)
4. \( 5142 + 639 = 5781 \)

Thus, the total exports over the five years is **5781**.

### Step 3: Gather Import Data
Next, we need to collect the import values for the same five financial years. The imports are:
- Year 1: 824
- Year 2: 1014
- Year 3: 1137
- Year 4: 1513
- Year 5: 1658

### Step 4: Calculate Total Imports
Now, we will sum these import values:
\[ \text{Total Imports} = 824 + 1014 + 1137 + 1513 + 1658 \]
Calculating this step-by-step:
1. \( 824 + 1014 = 1838 \)
2. \( 1838 + 1137 = 2975 \)
3. \( 2975 + 1513 = 4488 \)
4. \( 4488 + 1658 = 6146 \)

Thus, the total imports over the five years is **6146**.

### Step 5: Calculate the Ratio
Now that we have both totals, we can find the ratio of total exports to total imports:
\[ \text{Ratio} = \frac{\text{Total Exports}}{\text{Total Imports}} = \frac{5781}{6146} \]

### Step 6: Simplify the Ratio
To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, we can simplify:
1. Divide both numbers by 2:
- \( 5781 \div 2 = 2890.5 \) (not an integer)
- \( 6146 \div 2 = 3073 \) (not an integer)

Since 5781 and 6146 do not share any common factors other than 1, we can express the ratio as:
\[ \text{Ratio} = 5781:6146 \]

### Step 7: Final Simplification
Using a calculator or further simplification, we can find the approximate ratio:
- The ratio can be approximated to \( 3:2 \) after further simplification.

### Final Answer
The ratio of total exports to total imports during the five financial years is approximately **3:2**.

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