The usual price of a file sold at Shop T and U is $10. During a sale, a discount of 20% is given to every file sold at Shop T. At Shop U, a discount of 50% is given to the 4th file for every 4 files sold. How much cheaper would it be if Gwen buys 14 files from Shop T instead of Shop U?
|
Shop T |
Shop U |
Price of 1 file |
80% $8 |
100% $10 |
Every 4th file |
|
50% $5 |
Price of 1 file from Shop T in percentage
= 100% - 20%
= 80%
Price of 1 file from Shop T at 20% discount
= 80% x 10
=
80100 x 10
= $8
Cost of 14 files from Shop T
= 14 x 8
= $112
Price of the 4th file from Shop U in percentage
= 100% - 50%
= 50%
Cost of 4th file at Shop U
= 50% x 10
=
50100 x 10
= $5
Cost of 1 set of 4 files at Shop U
= 10 x 3 + 5
= $35
Number of sets of 4 for files at Shop U
= 14 ÷ 4
= 3 r 2
Cost of 3 sets of 4 files at Shop U
= 3 x 35
= $105
Cost of 2 files at Shop U
= 2 x 5
= $10
Cost of 14 files at Shop U
= 105 + 10
= $115
Amount cheaper if Gwen buys 14 files from Shop T instead of Shop U
= 115 - 112
= $3
Answer(s): $3