The usual price of a pencil sold at Shop K and L is $28. During a sale, a discount of 25% is given to every pencil sold at Shop K. At Shop L, a discount of 50% is given to the 6th pencil for every 6 pencils sold. How much cheaper would it be if Diana buys 16 pencils from Shop K instead of Shop L?
|
Shop K |
Shop L |
Price of 1 pencil |
75% $21 |
100% $28 |
Every 6th pencil |
|
50% $14 |
Price of 1 pencil from Shop K in percentage
= 100% - 25%
= 75%
Price of 1 pencil from Shop K at 25% discount
= 75% x 28
=
75100 x 28
= $21
Cost of 16 pencils from Shop K
= 16 x 21
= $336
Price of the 6th pencil from Shop L in percentage
= 100% - 50%
= 50%
Cost of 6th pencil at Shop L
= 50% x 28
=
50100 x 28
= $14
Cost of 1 set of 6 pencils at Shop L
= 28 x 5 + 14
= $154
Number of sets of 6 for pencils at Shop L
= 16 ÷ 6
= 2 r 4
Cost of 2 sets of 6 pencils at Shop L
= 2 x 154
= $308
Cost of 4 pencils at Shop L
= 4 x 14
= $56
Cost of 16 pencils at Shop L
= 308 + 56
= $364
Amount cheaper if Diana buys 16 pencils from Shop K instead of Shop L
= 364 - 336
= $28
Answer(s): $28