The usual price of a pencil sold at Shop T and U is $32. During a sale, a discount of 25% is given to every pencil sold at Shop T. At Shop U, a discount of 50% is given to the 4th pencil for every 4 pencils sold. How much cheaper would it be if Dana buys 10 pencils from Shop T instead of Shop U?
|
Shop T |
Shop U |
Price of 1 pencil |
75% $24 |
100% $32 |
Every 4th pencil |
|
50% $16 |
Price of 1 pencil from Shop T in percentage
= 100% - 25%
= 75%
Price of 1 pencil from Shop T at 25% discount
= 75% x 32
=
75100 x 32
= $24
Cost of 10 pencils from Shop T
= 10 x 24
= $240
Price of the 4th pencil from Shop U in percentage
= 100% - 50%
= 50%
Cost of 4th pencil at Shop U
= 50% x 32
=
50100 x 32
= $16
Cost of 1 set of 4 pencils at Shop U
= 32 x 3 + 16
= $112
Number of sets of 4 for pencils at Shop U
= 10 ÷ 4
= 2 r 2
Cost of 2 sets of 4 pencils at Shop U
= 2 x 112
= $224
Cost of 2 pencils at Shop U
= 2 x 16
= $32
Cost of 10 pencils at Shop U
= 224 + 32
= $256
Amount cheaper if Dana buys 10 pencils from Shop T instead of Shop U
= 256 - 240
= $16
Answer(s): $16