*At first a price was decreased by 12%, then it was discounted again by an additional 5%. What is the percent of the total discount? if you

Question

*At first a price was decreased by 12%, then it was discounted again by an additional 5%. What is the percent of the total discount? if you answer i’ll give you a digital cookie. :⊃

in progress 0
Sarah 2 days 2022-01-12T09:06:32+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-12T09:07:34+00:00

    The percent of total discount is 16.4 %

    Solution:

    Given that,

    At first a price was decreased by 12%, then it was discounted again by an additional 5 %

    To find: Percent of total discount

    Let “x” be the original price

    At first a price was decreased by 12%

    Therefore,

    Discounted price = original price – 12 % of original price

    Discounted price = x – 12 % of x

    Discounted\ price = x - \frac{12}{100} \times x\\\\Discounted\ price = x - 0.12x\\\\Discounted\ price = 0.88x

    It was discounted again by an additional 5%

    Therefore,

    Discounted price = 0.88x – 5 % of 0.88x

    Discounted\ price = 0.88x - \frac{5}{100} \times 0.88x\\\\Discounted\ price = 0.88x - 0.05 \times 0.88x\\\\Discounted\ price = 0.88x - 0.044x\\\\Discounted\ price = 0.836

    Thus the percent of total discount is:

    Percent = 100 \% - 0.836 \times 100 \%\\\\Percent = 100 \% - 83.6 \%\\\\Percent = 16.4 \%

    Thus the percent of total discount is 16.4 %

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )