The single discount equivalent to a series discount of 60%, 70% and 80%.

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To find the single discount equivalent to a series of discounts, we use the formula:

Single discount = 1 - (1 - d1) * (1 - d2) * (1 - d3)

where d1, d2, d3 are the decimal forms of the discounts.

Given discounts: 60%, 70%, and 80%  
Convert to decimals:  
60% = 0.60  
70% = 0.70  
80% = 0.80

Calculate the product of complements:  
(1 - 0.60) * (1 - 0.70) * (1 - 0.80) = 0.40 * 0.30 * 0.20 = 0.024

Single discount = 1 - 0.024 = 0.976 or 97.6%

Therefore, the single discount equivalent to the series discount of 60%, 70%, and 80% is 97.6%.

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