Problem Interpretation:

The given cost of mangoes is Rs. 507.84 per dozen (12 mangoes). The task is to calculate the cost of 28 mangoes and round it off to the nearest cents.

Solution:

1. Find the cost of one mango: $\text{Cost per mango} = \frac{\text{Cost per dozen}}{12}$ Substituting the given value: $\text{Cost per mango} = \frac{507.84}{12} = 42.32 \, \text{Rs (rounded to two decimal places)}.$

2. Calculate the cost of 28 mangoes: $\text{Cost of 28 mangoes} = \text{Cost per mango} \times 28$ Substituting: $\text{Cost of 28 mangoes} = 42.32 \times 28 = 1184.96 \, \text{Rs}.$

3. Round the result: The cost is already in two decimal places (nearest cents). Hence, the final cost is: $\boxed{1184.96 \, \text{Rs}}$

Would you like me to explain any steps in more detail or provide further clarifications? 😊

5 Related Questions:

1. How would you calculate the cost if the number of mangoes was a fraction, such as 5.5?
2. What is the cost of 1.5 dozen mangoes using the given price?
3. How do you handle currency conversions (e.g., converting Rs to USD)?
4. If the cost per dozen changes to Rs. 600, what would be the new cost of 28 mangoes?
5. How can you calculate the cost programmatically using a formula in Excel or Python?

Tip:

Always double-check the rounding rule when dealing with currency, as it can impact the final calculation significantly.