Understanding Successive Discounts: Calculating the Total Reduction Percentage

In many real-world scenarios, products undergo multiple discount reductions to attract customers. This article explains how to calculate the total reduction percentage when a product is subjected to successive discounts. We will explore the total reduction step-by-step with an example using a TV set as a reference.

Example Scenario: TV Set Price Calculation

Let's assume the initial price of a TV set is X. Suppose the price is reduced by 40% and then by 60% successively. We will explore how to calculate the total reduction percentage and the final price of the TV set.

Step-by-Step Calculation

Initial Price: X

1. First Reduction of 40%:

The final price of the TV set after the first reduction will be:

0.6X X - (40/100 * X)

2. Second Reduction of 60%:

The final price after the second reduction will be:

0.6X * 0.6 0.36X

This means the final selling price after both discounts is 0.36X.

Alternative Method

Another way to determine the total reduction percentage without calculating the intermediate steps is as follows:

Let the initial price of the TV be 100.

1. After 40% reduction, the price is:

100 - (40/100 * 100) 100 - 40 60

2. After 60% further reduction, the price is:

60 - (60/100 * 60) 60 - 36 24

Total Reduction:

100 - 24 76

Therefore, the total reduction percentage is 76%.

Direct Method for Successive Discounts

For direct calculation, if the initial price of the TV is X, the final price can be calculated as follows:

Final price X * (1 - 0.4) * (1 - 0.6) X * 0.6 * 0.4 0.24X

This shows that the final price is 24% of the initial price.

The reduction percentage is:

(X - 0.24X) / X 0.76 76%

Conclusion

By understanding the successive discounts, we can accurately calculate the total reduction percentage and the final price. The examples and methods provided above can be applied to similar scenarios in the real world, helping businesses and consumers make informed decisions.

Keywords: successive discounts, discount calculation, reduction percentage