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21 August, 09:04

The stores below each have the same snowboard for an original price of $189.59. At which store can you get the snowboard for the lowest price? Store A: Sale of 30% off and a successive discount of 10% off. Store B: Sale of 20% off and a successive discount of 20% off. Store C: Sale of 40% off.

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  1. 21 August, 09:26
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    Snowboard can be purchased for the lowest price from Store C offering 40% discount.

    Step-by-step explanation:

    We need to compare discounts of 3 stores and find the store selling snowboard lowest of them.

    Store A: Sale of 30% off and a successive discount of 10% off.

    The formula used for successive discount is = (x+y - xy / 100) %

    here x = 30 and y = 10 so total discount is:

    Total discount = (30 + 10 - (30*10) / 100) %

    = (40 - 300/100) %

    = (40 - 3) % = 37%

    Original price = $189.59

    Discount offered = 37% of $189.59

    = 37/100 * 189.59 = $70.15

    Selling Price = Original price - Discount offered

    = $189.59 - $70.15

    = $ 119.44

    Store B: Sale of 20% off and a successive discount of 20% off.

    The formula used for successive discount is = (x+y - xy / 100) %

    here x = 20 and y = 20 so total discount is:

    Total discount = (20 + 20 - (20*20) / 100) %

    = (40 - 400/100) %

    = (40 - 4) % = 36%

    Original price = $189.59

    Discount offered = 36% of $189.59

    = 36/100 * 189.59 = $68.25

    Selling Price = Original price - Discount offered

    = $189.59 - $68.25

    = $ 121.34

    Store C: Sale of 40% off.

    Original price = $189.59

    Discount offered = 40% of $189.59

    = 40/100 * 189.59 = $75.84

    Selling Price = Original price - Discount offered

    = $189.59 - $75.84

    = $ 113.75

    So, Store A Sale price is: $ 119.44

    Store B Sale price is: $ 121.34

    and Store C Sale price is: $ 113.75

    So, Comparing them we found that snowboard can be purchased for the lowest price from Store C offering 40% discount.
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