The ratio of the total amount spent on A and D commodities in the year 2019 is:

Options

A. `3:8`
B. `6:17`
C. `1:1`
D. `15:17`

Answer

To solve the problem of finding the ratio of the total amount spent on A and D commodities in the year 2019, we can follow these steps:

### Step 1: Identify the quantities and costs for commodities A and D in 2019

From the provided table:
- For commodity A:
- Quantity required per month = 15 kg
- Cost per kg in 2019 = Rs. 80

- For commodity D:
- Quantity required per month = 40 kg
- Cost per kg in 2019 = Rs. 85

### Step 2: Calculate the total amount spent on commodity A in 2019

Total amount spent on A = Quantity required per month × Cost per kg
\[ \text{Total amount spent on A} = 15 \, \text{kg} \times 80 \, \text{Rs/kg} = 1200 \, \text{Rs} \]

### Step 3: Calculate the total amount spent on commodity D in 2019

Total amount spent on D = Quantity required per month × Cost per kg
\[ \text{Total amount spent on D} = 40 \, \text{kg} \times 85 \, \text{Rs/kg} = 3400 \, \text{Rs} \]

### Step 4: Find the ratio of the total amounts spent on A and D

To find the ratio of the total amount spent on A to the total amount spent on D, we set up the ratio:
\[ \text{Ratio} = \frac{\text{Total amount spent on A}}{\text{Total amount spent on D}} = \frac{1200}{3400} \]

### Step 5: Simplify the ratio

To simplify the ratio, we can divide both the numerator and the denominator by 100:
\[ \frac{1200}{3400} = \frac{12}{34} \]
Now, we can simplify this further by dividing both by 2:
\[ \frac{12 \div 2}{34 \div 2} = \frac{6}{17} \]

### Final Answer

Thus, the ratio of the total amount spent on A and D commodities in the year 2019 is:
\[ \text{Ratio} = 6 : 17 \]