Optimizing Coin Transactions using 2, 5, 10, 25, and 50 Paise Coins

This article provides detailed insights into the minimum number of coins required to make exact payments of 78 paise, 69 paise, and Rs. 1.01 (101 paise) using 2, 5, 10, 25, and 50 paise coins. Through an optimized approach, we aim to minimize the number of coins used, ensuring efficient cash handling and customer satisfaction.

Introduction to Coin Optimization

The process of finding the minimal set of coins to make a specific amount is crucial for efficient cash handling, reducing wastage, and enhancing transaction speed. This article explores the strategy to pay exactly 78 paise, 69 paise, and Rs. 1.01 using the specified coin denominations.

Payment Methods and Coin Optimization

78 Paise

To pay 78 paise, we use the highest denominations first and adjust with smaller values if needed.

50 paise: 1 coin25 paise: 1 coin2 paise: 2 coins

Total coins: 4 coins

69 Paise

Similarly, for 69 paise, we start with the highest and adjust accordingly.

50 paise: 1 coin10 paise: 1 coin5 paise: 1 coin2 paise: 2 coins

Total coins: 5 coins

Rs. 1.01 (101 Paise)

To achieve 101 paise, we utilize a combination of higher values and adjust as necessary.

50 paise: 2 coins (to make 100 paise)2 paise: 1 coin

Total coins: 3 coins

Summary of Minimum Coins Required

Total minimum coins required: 12 coins

Additional Notes: It's worth noting that the balance can sometimes be achieved by slightly adjusting the counts of higher denominations.

Conclusion

The optimization of coin transactions is essential for both personal and professional financial management. By using the appropriate denominations and making minimal adjustments, we can achieve exact payments efficiently and effectively. This method not only minimizes the number of coins used but also enhances transactional accuracy.