Answer: The additional rate of discount offered is approximately 46.58%.
Explanation:
To find the additional rate of discount offered, we need to calculate the original price of the electronic game and then determine the percentage decrease from the original price to the further reduced price.
Let's break down the steps:
1. Start with the further reduced price of the game, which is $142.86.
2. To find the original price of the game, we need to reverse the discounts applied. We'll work backwards from the further reduced price.
3. Apply the last discount of 5% to the further reduced price:
Price after 5% discount = $142.86 / (1 - 0.05) = $142.86 / 0.95 ≈ $150.38
4. Apply the second discount of 6% to the price after the 5% discount:
Price after 6% discount = $150.38 / (1 - 0.06) = $150.38 / 0.94 ≈ $160.40
5. Apply the first discount of 40% to the price after the 6% discount:
Original price = $160.40 / (1 - 0.40) = $160.40 / 0.60 ≈ $267.33
Now, we have the original price of the electronic game, which is approximately $267.33.
6. To find the additional rate of discount, we need to determine the percentage decrease from the original price to the further reduced price. The additional rate of discount is calculated by dividing the additional discount amount by the original price and multiplying by 100%.
Additional rate of discount = ((Original price - Further reduced price) / Original price) * 100%
Additional rate of discount = (($267.33 - $142.86) / $267.33) * 100% ≈ 46.58%