Q1. When K780.00 Is Discounted By $12.5 %$, What Is The New Price?

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Understanding the Problem

When a product is discounted by a certain percentage, we need to find the new price after the discount. In this case, we are given a product priced at K780.00, and it is discounted by 12.5%. To find the new price, we need to calculate the amount of discount and subtract it from the original price.

Calculating the Discount Amount

To calculate the discount amount, we need to find 12.5% of K780.00. We can do this by multiplying K780.00 by 0.125 (which is equivalent to 12.5%).

original_price = 780
discount_percentage = 0.125
discount_amount = original_price * discount_percentage
print(discount_amount)

Finding the New Price

Now that we have the discount amount, we can subtract it from the original price to find the new price.

new_price = original_price - discount_amount
print(new_price)

Calculating the New Price Manually

Alternatively, we can calculate the new price manually by finding 87.5% of the original price (since 100% - 12.5% = 87.5%).

new_price_manual = original_price * 0.875
print(new_price_manual)

Conclusion

In this problem, we were given a product priced at K780.00, and it was discounted by 12.5%. We calculated the discount amount by finding 12.5% of the original price and then subtracted it from the original price to find the new price. We also calculated the new price manually by finding 87.5% of the original price.

Example Use Case

This problem can be applied to real-life scenarios where products are discounted by a certain percentage. For example, if a product is originally priced at K780.00 and it is discounted by 12.5%, the new price would be K680.00.

Tips and Tricks

  • When calculating discounts, make sure to multiply the original price by the discount percentage (as a decimal).
  • To find the new price, subtract the discount amount from the original price.
  • To calculate the new price manually, find the percentage of the original price that is not discounted (100% - discount percentage).

Common Mistakes

  • Failing to convert the discount percentage to a decimal before multiplying it by the original price.
  • Subtracting the discount amount from the discount percentage instead of the original price.
  • Not considering the decimal places when calculating the new price.

Further Reading

  • If you want to learn more about discounts and percentages, check out our article on "Understanding Discounts and Percentages".
  • If you want to practice more problems like this, check out our article on "Mathematics Practice Problems".

Final Answer

The new price after a 12.5% discount on K780.00 is K680.00.

Understanding Discounts and Percentages

In our previous article, we discussed how to calculate the new price after a discount is applied. In this article, we will answer some frequently asked questions about discounts and percentages.

Q1: What is a discount?

A discount is a reduction in the price of a product or service. It is usually expressed as a percentage of the original price.

Q2: How do I calculate a discount?

To calculate a discount, you need to multiply the original price by the discount percentage (as a decimal). For example, if a product is originally priced at K780.00 and it is discounted by 12.5%, the discount amount would be K780.00 x 0.125 = K97.50.

Q3: How do I find the new price after a discount?

To find the new price after a discount, you need to subtract the discount amount from the original price. For example, if a product is originally priced at K780.00 and it is discounted by 12.5%, the new price would be K780.00 - K97.50 = K682.50.

Q4: What is the difference between a discount and a sale?

A discount is a reduction in the price of a product or service, while a sale is a temporary reduction in the price of a product or service. A sale is usually a one-time offer, while a discount is a permanent reduction in the price.

Q5: How do I calculate a percentage increase?

To calculate a percentage increase, you need to find the difference between the new price and the original price, and then divide it by the original price. For example, if a product is originally priced at K780.00 and it is increased by 10%, the new price would be K780.00 + (K780.00 x 0.10) = K858.00.

Q6: How do I calculate a percentage decrease?

To calculate a percentage decrease, you need to find the difference between the original price and the new price, and then divide it by the original price. For example, if a product is originally priced at K780.00 and it is decreased by 10%, the new price would be K780.00 - (K780.00 x 0.10) = K702.00.

Q7: What is the difference between a percentage increase and a percentage decrease?

A percentage increase is a rise in the price of a product or service, while a percentage decrease is a fall in the price of a product or service.

Q8: How do I calculate a discount on a sale price?

To calculate a discount on a sale price, you need to multiply the sale price by the discount percentage (as a decimal). For example, if a product is on sale for K600.00 and it is discounted by 15%, the discount amount would be K600.00 x 0.15 = K90.00.

Q9: How do I find the new price after a discount on a sale price?

To find the new price after a discount on a sale price, you need to subtract the discount amount from the sale price. For example, if a product is on sale for K600.00 and it is discounted by 15%, the new price would be K600.00 - K90.00 = K510.00.

Q10: What is the difference between a discount and a markdown?

A discount is a reduction in the price of a product or service, while a markdown is a reduction in the price of a product or service that is already on sale.

Conclusion

In this article, we have answered some frequently asked questions about discounts and percentages. We have discussed how to calculate discounts, find the new price after a discount, and calculate percentage increases and decreases. We have also discussed the differences between discounts, sales, and markdowns.

Example Use Case

This article can be applied to real-life scenarios where products are discounted or on sale. For example, if a product is originally priced at K780.00 and it is discounted by 12.5%, the new price would be K682.50.

Tips and Tricks

  • When calculating discounts, make sure to multiply the original price by the discount percentage (as a decimal).
  • To find the new price after a discount, subtract the discount amount from the original price.
  • To calculate percentage increases and decreases, find the difference between the new price and the original price, and then divide it by the original price.

Common Mistakes

  • Failing to convert the discount percentage to a decimal before multiplying it by the original price.
  • Subtracting the discount amount from the discount percentage instead of the original price.
  • Not considering the decimal places when calculating the new price.

Further Reading

  • If you want to learn more about discounts and percentages, check out our article on "Understanding Discounts and Percentages".
  • If you want to practice more problems like this, check out our article on "Mathematics Practice Problems".

Final Answer

The new price after a 12.5% discount on K780.00 is K682.50.