Calculate Cost of 65 Packets of 10 Pencils Each Based on Given Information

If 52 packets of 12 pencils each cost Rs 499.20, understanding how to calculate the cost of 65 packets of 10 pencils each is a straightforward application of the concept of unit cost and multiplication. This article will guide you through the calculation process and elucidate the underlying mathematical steps.

Step 1: Determine the Cost Per Packet of 12 Pencils

To begin, let's find the cost per packet of the given number of pencils:

Calculate the total cost per packet. Given that 52 packets of 12 pencils each cost Rs 499.20, we can find the cost per packet by dividing the total cost by the number of packets: Cost per packet Total cost / Number of packets 499.20 / 52 This results in: Cost per packet 9.60 Rs

Step 2: Determine the Cost Per Pencil

Once we have the cost per packet, we can then calculate the cost per individual pencil:

Each packet contains 12 pencils, so to find the cost per pencil we divide the cost per packet by the number of pencils in each packet: Cost per pencil Cost per packet / Number of pencils per packet 9.60 / 12 This results in: Cost per pencil 0.80 Rs

Step 3: Calculate the Total Number of Pencils in 65 Packets of 10 Each

Next, we need to ascertain the total number of pencils in 65 packets of 10 pencils each:

Each packet contains 10 pencils, so the total number of pencils in 65 packets can be calculated as follows: Total pencils 65 packets * 10 pencils per packet 650 pencils

Step 4: Calculate the Total Cost for 650 Pencils

Finally, we use the cost per pencil to find the total cost for 650 pencils:

Calculate the total cost for 650 pencils by multiplying the total number of pencils by the cost per pencil: Total cost Total pencils * Cost per pencil 650 * 0.80 This results in: Total cost Rs 520

Therefore, the cost of 65 packets of 10 pencils each is Rs 520.

Additional Considerations and Examples

For further clarity, let's look at a couple of additional examples that utilise the same principles:

Example 1: Cost per Pencil Calculation

If 52 packets of 12 pencils each cost Rs 499.20, the cost per pencil can also be calculated as follows: Cost per pencil Total cost / Total number of pencils 499.20 / (52 * 12) This results in: Cost per pencil 499.20 / 624 0.80 Rs

Example 2: Simplified Calculation

Another way to reach the same result is as follows: First, find the total number of pencils in 52 packets: Total pencils 52 packets * 12 pencils per packet 624 pencils Calculate the cost per pencil: Cost per pencil 499.20 / 624 0.80 Rs Afterward, calculate the total cost for 650 pencils: Total cost 650 pencils * 0.80 Rs per pencil Rs 520

Conclusion

Through this detailed breakdown of the steps involved in calculating the cost of 65 packets of 10 pencils each based on the cost of 52 packets of 12 pencils, we have shown that the total cost is Rs 520. This method is a practical application of basic arithmetic and can be applied to similar cost calculation problems.