Sure, let's go through the problem step-by-step.
1. Determine the cost per kilogram of sugar:
- We know that 150 kilograms of sugar cost Rs 3000.
- To find the cost per kilogram, we need to divide the total cost by the total kilograms.
- So, cost per kilogram of sugar = [tex]\( \frac{\text{Total Cost}}{\text{Total Kilograms}} \)[/tex]
- Plugging in the values: [tex]\( \frac{3000 \text{ Rs}}{150 \text{ kg}} = 20 \text{ Rs per kg} \)[/tex]
2. Calculate how many kilograms of sugar can be purchased for Rs 8500:
- Now we know the cost of 1 kilogram of sugar is Rs 20.
- To find out how many kilograms can be bought with Rs 8500, we need to divide the total amount of money available by the cost per kilogram.
- So, kilograms of sugar that can be purchased = [tex]\( \frac{\text{Available Money}}{\text{Cost per Kilogram}} \)[/tex]
- Plugging in the values: [tex]\( \frac{8500 \text{ Rs}}{20 \text{ Rs per kg}} = 425 \text{ kg} \)[/tex]
Therefore, with Rs 8500, you can purchase 425 kilograms of sugar.
