Calculating Discounts On Groceries A Mathematical Problem

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Ali went grocery shopping and took advantage of some special discounts offered at the store. There was a 20% discount on all fruit items and a 15% discount on all other items. Ali purchased the following items:

  • Bananas: Rs. 150
  • Apples: Rs. 230
  • Apricots: Rs. 130
  • Other Items: Rs. 510

In this article, we will calculate the total discount Ali received and the final amount he had to pay.

Calculating the Discount on Fruit Items

In this section, we delve into the calculations for determining the discount Ali received on his fruit purchases. Fruit discounts played a significant role in lowering his overall grocery bill, and we'll break down the process step-by-step. To begin, we must first identify the total cost of the fruits Ali bought. This involves summing up the individual prices of the bananas, apples, and apricots. Once we have this total, we can apply the 20% discount to determine the amount Ali saved specifically on fruit items. This calculation is essential for understanding the impact of the fruit discount on Ali's overall savings. Furthermore, understanding the mechanics of discount calculation is a valuable skill for everyday financial literacy. By walking through this example, readers can gain a clearer understanding of how discounts work and how they can save money on their own purchases. In the subsequent sections, we'll build upon this foundation by calculating the discount on other items and ultimately determining the total amount Ali had to pay. This comprehensive approach provides a holistic view of Ali's shopping experience and the benefits he received from the store's discounts. The process of calculating the fruit discount not only helps us solve this specific problem but also equips us with a practical tool for managing our finances effectively. By understanding how discounts are applied, we can make informed decisions about our spending and maximize our savings potential. So, let's dive into the calculations and uncover the savings Ali enjoyed on his fruit purchases. Remember, these principles can be applied to a wide range of shopping scenarios, making this a valuable skill to master. The total cost of the fruits is:

Rs. 150 (Bananas) + Rs. 230 (Apples) + Rs. 130 (Apricots) = Rs. 510

The discount offered on fruit items is 20%. To calculate the discount amount, we multiply the total cost of the fruits by the discount percentage:

Discount on Fruits = Rs. 510 * (20/100) = Rs. 102

Therefore, Ali received a discount of Rs. 102 on the fruit items.

Calculating the Discount on Other Items

Now, let's determine the discount Ali received on the other items he purchased. This section will focus on the discount calculation for the non-fruit items, which were subject to a different discount rate. To accurately calculate the savings, we'll apply the 15% discount to the total cost of these items. This process is similar to the fruit discount calculation but utilizes a different percentage, highlighting the importance of paying attention to the specific discount terms for each category of items. Understanding how different discount rates apply to various products is crucial for making informed purchasing decisions and maximizing savings. This section will provide a clear and concise explanation of the calculation process, allowing readers to easily follow along and apply the same principles to their own shopping scenarios. Furthermore, by breaking down the calculation into manageable steps, we can better appreciate the impact of discounts on overall spending. The 15% discount on other items significantly contributes to Ali's total savings, and this section will illuminate the extent of these savings. This understanding is not only valuable for solving this specific problem but also for developing a broader awareness of financial planning and budgeting. In the subsequent sections, we will combine the discounts from both fruit and other items to determine the total discount Ali received, further solidifying our understanding of discount calculations. So, let's proceed with the calculation for the discount on other items and continue our journey toward a comprehensive understanding of Ali's grocery savings. Remember, the principles we learn here can be applied to a variety of shopping situations, making this a valuable skill to acquire. The other items cost Rs. 510, and the discount offered on these items is 15%. We calculate the discount amount as follows:

Discount on Other Items = Rs. 510 * (15/100) = Rs. 76.50

Thus, Ali received a discount of Rs. 76.50 on the other items.

Calculating the Total Discount

In this section, we will consolidate our previous calculations to determine the total discount Ali received on his grocery purchases. This involves combining the discount he received on fruit items with the discount he received on other items. By adding these two amounts together, we can arrive at a comprehensive figure representing Ali's overall savings. This step is crucial for understanding the full extent of the benefits Ali enjoyed from the store's discount offers. Furthermore, calculating the total discount allows us to appreciate the cumulative impact of individual discounts on the final price. This perspective is invaluable for budgeting and financial planning, as it highlights the importance of taking advantage of discounts whenever possible. This section will provide a clear and straightforward calculation of the total discount, reinforcing the principles we've learned in previous sections. By understanding how to calculate both individual and total discounts, readers can develop a more nuanced approach to shopping and saving money. The ability to quickly and accurately calculate discounts is a valuable skill in everyday life, and this section provides a practical example of how to apply this skill. In the following section, we will use the total discount to calculate the final amount Ali had to pay, completing our analysis of his grocery shopping experience. So, let's proceed with calculating the total discount and continue our journey toward a comprehensive understanding of Ali's savings. Remember, the principles we're learning here are applicable to a wide range of financial situations, making this a valuable exercise in financial literacy. To find the total discount, we add the discount on fruits and the discount on other items:

Total Discount = Discount on Fruits + Discount on Other Items

Total Discount = Rs. 102 + Rs. 76.50 = Rs. 178.50

Therefore, the total discount Ali received is Rs. 178.50.

Calculating the Final Amount Paid

Finally, let's calculate the final amount Ali had to pay after applying the discounts. This section represents the culmination of our calculations, bringing together all the previous steps to arrive at the final cost. To determine the final amount, we need to subtract the total discount from the total cost of all the items Ali purchased. This process provides a clear picture of the actual amount Ali spent after taking advantage of the store's offers. Furthermore, understanding how to calculate the final amount paid is essential for budgeting and tracking expenses. This calculation allows us to see the real impact of discounts on our spending, helping us make informed decisions about our purchases. This section will provide a concise and accurate calculation of the final amount, solidifying our understanding of the entire discount process. By following these steps, readers can learn how to effectively calculate their own savings and manage their finances more efficiently. The ability to determine the final amount paid after discounts is a valuable skill in everyday life, and this section provides a practical example of how to apply this skill. In conclusion, this section provides a comprehensive overview of the entire calculation process, from individual discounts to the final amount paid. This holistic understanding is crucial for developing financial literacy and making informed purchasing decisions. So, let's proceed with calculating the final amount Ali paid and complete our analysis of his grocery shopping experience. The total cost of all items before discounts is:

Total Cost = Rs. 150 (Bananas) + Rs. 230 (Apples) + Rs. 130 (Apricots) + Rs. 510 (Other Items) = Rs. 1020

To find the final amount paid, we subtract the total discount from the total cost:

Final Amount Paid = Total Cost - Total Discount

Final Amount Paid = Rs. 1020 - Rs. 178.50 = Rs. 841.50

Therefore, Ali had to pay Rs. 841.50 after the discounts.

Conclusion

In conclusion, Ali received a total discount of Rs. 178.50 on his grocery purchases, which included discounts on both fruit items and other items. After applying these discounts, the final amount he had to pay was Rs. 841.50. This exercise demonstrates how understanding discounts and calculating them accurately can lead to significant savings. It also highlights the importance of paying attention to the specific discount terms for different categories of items. By following these calculations, we can learn to effectively manage our finances and make informed purchasing decisions.