Isarence loves Happy Brand Chocolate Chip Cookies! Recently, she won a competition held by The Happy Food Company, and got a voucher for Happy Brand Chocolate Chip Cookies. Hooray! Here are the terms of the voucher:
One weekend, Isarence went to the supermarket district in town to use her voucher. All 3 participating outlets had a store there, how convenient! It is known that the market price of a box of Happy Brand Chocolate Chip Cookies was $10 on that day. She went to all 3 stores to check out their prices.
The displayed price for the cookies at Applemart was the same as the market price of the cookies. However, Isarence has an Applemart Members Card, which entitles her to an additional 15% discount on all items in the store, based on their displayed prices.
Bestprice was having a sale that day, and the displayed prices for all items were 20% less than the market prices.
Cheapstuff always had cheaper prices, and it was found that the displayed price of the cookies was 5% lower than the market price. On top of that, for every 10 boxes purchased, she will receive a discount of $10, given after all the other discounts are calculated. How wonderful!
Now, Isarence loves cookies, but she isn't very accurate in counting, so she needs your help! Which store has the lowest price for 10 boxes of Happy Brand Chocolate Chip Cookies?
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The displayed price of a box of cookies at Applemart is $ 1 0 . There, she gets a discount of 1 5 % + 2 0 % = 3 5 % on each box of cookies.
Therefore, the cost of buying at Applemart = 1 0 × ( 1 0 0 − 3 5 ) % × 1 0 = 1 0 0 × 1 0 0 6 5 = $ 6 5
At Bestprice, the displayed price was lower than the market price by 2 0 % .
Therefore, the cost of buying at Bestprice = 1 0 × ( 1 0 0 − 2 0 ) % × ( 1 0 0 − 2 0 ) % × 1 0 = 1 0 0 × 1 0 0 8 0 × 1 0 0 8 0 = 1 0 0 6 4 0 0 = $ 6 4
At Cheapstuff, the displayed price was lower than 5 % , and after calculating the discount, there is an additional $ 1 0 discount.
Therefore, the cost of buying at Cheapstuff = 1 0 × ( 1 0 0 − 5 ) % × ( 1 0 0 − 2 0 ) % × 1 0 − 1 0 = 1 0 0 × 1 0 0 9 5 × 1 0 0 8 0 − 1 0 = 1 0 0 7 6 0 0 − 1 0 = 7 6 − 1 0 = $ 6 6
From here, we can see that Bestprice has the lowest price for 1 0 boxes of Happy Brand Chocolate Chip Cookies