Question

Find the single discount equivalent for the following series discount:

7/14 : 20.02%

A. 21%

B. 79.98%

C. 9.8%

Answer 1

To find the single discount equivalent for a series discount, convert the series discount to a decimal and use the formula: Single Discount Equivalent = 1 - (1 - Discount 1)(1 - Discount 2)(1 - Discount 3) ... (1 - Discount n). Single Discount Equivalent = 0.9001 or 90.01%.

Step-by-step explanation:

To find the single discount equivalent for the given series discount of 7/14 : 20.02%, we can use the formula:

Single Discount Equivalent = 1 - (1 - Discount 1)(1 - Discount 2)(1 - Discount 3) ... (1 - Discount n)

Given that the series discount is 7/14, we can convert it to a decimal by dividing 7 by 14, which gives us 0.5.

Now, substitute the value into the formula: Single Discount Equivalent = 1 - (1 - 0.5)(1 - 0.2002) = 1 - (0.5)(0.7998) = 0.9001 or 90.01%.