Certainly! Let's break down the problem step-by-step to find the discount and the discount percentage:
1. Determine the total cost of 2 kg of rice:
- The cost per kg of rice is Rs. 30.
- Therefore, the cost for 2 kg of rice is [tex]\( 30 \text{ Rs/kg} \times 2 \text{ kg} = 60 \text{ Rs} \)[/tex].
2. Compare this cost with the selling price:
- The selling price for 2 kg of rice is Rs. 64.
3. Calculate the discount:
- To find the discount, we subtract the selling price from the actual cost:
[tex]\( \text{Discount} = \text{Actual Cost} - \text{Selling Price} \)[/tex]
- Using the values above:
[tex]\( \text{Discount} = 60 \text{ Rs} - 64 \text{ Rs} = -4 \text{ Rs} \)[/tex].
4. Interpret the discount:
- The negative discount of Rs. 4 means that there is actually an increase in price rather than a discount. The selling price is higher than the cost price by Rs. 4.
5. Calculate the discount percentage:
- To find the percentage of the discount relative to the actual cost, we use the formula:
[tex]\( \text{Discount Percentage} = \left( \frac{\text{Discount}}{\text{Actual Cost}} \right) \times 100 \)[/tex]
- Substituting the values:
[tex]\( \text{Discount Percentage} = \left( \frac{-4 \text{ Rs}}{60 \text{ Rs}} \right) \times 100 \approx -6.67\% \)[/tex].
So, summarizing what we've found:
- Total Cost for 2 kg of rice: 60 Rs
- Discount (or in this case, the increase in price): -4 Rs
- Discount Percentage: -6.67%
The negative values indicate that instead of giving a discount, the rice is actually being sold at a higher price than its cost price by about 6.67%.
