find a single discount equivalent to the discount series 20%, 10%, and 15%.
31.6%
To find a single discount equivalent to the discount series 20%, 10%, and 15%, follow these steps:
1. Start with the original price and subtract the first discount: x - 20% of x = x - (20/100)x = x - 0.2x = 0.8x (where x is the original price).
2. Now, apply the second discount to the result obtained from step 1: 0.8x - 10% of (0.8x) = 0.8x - (10/100)(0.8x) = 0.8x - 0.08x = 0.72x.
3. Finally, apply the third discount to the result obtained from step 2: 0.72x - 15% of (0.72x) = 0.72x - (15/100)(0.72x) = 0.72x - 0.108x = 0.612x.
Therefore, a single discount equivalent to the discount series 20%, 10%, and 15% is approximately 61.2%.