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ConditionPrice eachShop ABuy 13, pay for 12USD$100 discount per USD$1200 purchaseUSD$100 eachShop BBuy 11, pay for 10USD$90 each A man wishes to buy 60 cameras with a budget USD$6000.  He has a choice between Shop A and Shop B.  Which store is cheaper and how much cheaper is it compared to the other shop? a) A, USD$150 cheaper b) A, USD$200 cheaper c) B, USD$250 cheaper d) B, USD$300 cheaper e) B, USD$350 cheaper

Question

ConditionPrice eachShop ABuy 13, pay for 12USD100discountperUSD100 discount per USD1200 purchaseUSD100eachShopBBuy11,payfor10USD100 eachShop BBuy 11, pay for 10USD90 each A man wishes to buy 60 cameras with a budget USD6000. HehasachoicebetweenShopAandShopB.  Whichstoreischeaperandhowmuchcheaperisitcomparedtotheothershop?a)A,USD6000.  He has a choice between Shop A and Shop B.  Which store is cheaper and how much cheaper is it compared to the other shop? a) A, USD150 cheaper b) A, USD200cheaperc)B,USD200 cheaper c) B, USD250 cheaper d) B, USD300cheapere)B,USD300 cheaper e) B, USD350 cheaper

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Solution

First, let's calculate the cost of buying 60 cameras from each shop.

Shop A: The shop offers a deal of "Buy 13, pay for 12". So for every 13 cameras, the man only needs to pay for 12. If he wants to buy 60 cameras, he would need to buy this deal 4 times (60/13 = 4.6, rounded up to 5). This means he would pay for 48 cameras (4 deals * 12 cameras/deal). Each camera costs USD100,sothetotalcostwouldbe48USD100, so the total cost would be 48 * USD100 = USD$4800.

However, the shop also offers a discount of USD100foreveryUSD100 for every USD1200 purchase. The man's purchase of USD4800wouldqualifyforthisdiscount4times(4800/1200=4).Sohewouldgetatotaldiscountof4USD4800 would qualify for this discount 4 times (4800/1200 = 4). So he would get a total discount of 4 * USD100 = USD$400.

So the total cost at Shop A would be USD4800USD4800 - USD400 = USD$4400.

Shop B: The shop offers a deal of "Buy 11, pay for 10". So for every 11 cameras, the man only needs to pay for 10. If he wants to buy 60 cameras, he would need to buy this deal 5 times (60/11 = 5.45, rounded up to 6). This means he would pay for 50 cameras (5 deals * 10 cameras/deal). Each camera costs USD90,sothetotalcostwouldbe50USD90, so the total cost would be 50 * USD90 = USD$4500.

So the total cost at Shop B would be USD$4500.

Comparing the two shops, Shop A is cheaper by USD4500USD4500 - USD4400 = USD$100. So the correct answer is not listed in the options.

This problem has been solved

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