Q:

The local appliance store is offering 15% off an entire purchase of $2,000 or more; or 30% off a singleitem of $1,000 or more. Use the prices listed above to determine which offer will save the mostmoney on these appliances?

Accepted Solution

A:
Answer:The offer of 30% off a single item of $ 1000 or more will save most money on these appliances .Step-by-step explanation:Given as :The purchase price = $ 2000The offering discount = 15 %Let The price of item after discount = x So , x = ( $ 2000 ) - ( $ 2000 × 15 % )Or,  x = ( $ 2000 ) - ( $ 2000 × 0.15 )Or,  x = ( $ 2000 ) - ( $ 300 )∴     x =  $ 1700 Now, Again The purchase price = $ 1000The offering discount = 30 %Let The price of item after discount = ySo , y = ( $ 1000 ) - ( $ 1000 × 30 % )Or,  y = ( $ 1000 ) - ( $ 1000 × 0.3 )Or,  y = ( $ 1000 ) - ( $ 300 )∴     y =  $ 700 Now, If we purchase two item at the cost price of $ 700 each , then it will cost as $ 700 × 2 = $ 1400And for the same number of items at the cost price is $ 1700 after 15 % discount on list price of $ 2000 , So the second offer will save most .Hence The offer of 30% off a single item of $ 1000 or more will save most money on these appliances . Answer