The usual price of a pencil sold at Shop Q and R is $12. During a sale, a discount of 25% is given to every pencil sold at Shop Q. At Shop R, a discount of 50% is given to the 6th pencil for every 6 pencils sold. How much cheaper would it be if Jade buys 16 pencils from Shop Q instead of Shop R?
|
Shop Q |
Shop R |
Price of 1 pencil |
75% $9 |
100% $12 |
Every 6th pencil |
|
50% $6 |
Price of 1 pencil from Shop Q in percentage
= 100% - 25%
= 75%
Price of 1 pencil from Shop Q at 25% discount
= 75% x 12
=
75100 x 12
= $9
Cost of 16 pencils from Shop Q
= 16 x 9
= $144
Price of the 6th pencil from Shop R in percentage
= 100% - 50%
= 50%
Cost of 6th pencil at Shop R
= 50% x 12
=
50100 x 12
= $6
Cost of 1 set of 6 pencils at Shop R
= 12 x 5 + 6
= $66
Number of sets of 6 for pencils at Shop R
= 16 ÷ 6
= 2 r 4
Cost of 2 sets of 6 pencils at Shop R
= 2 x 66
= $132
Cost of 4 pencils at Shop R
= 4 x 6
= $24
Cost of 16 pencils at Shop R
= 132 + 24
= $156
Amount cheaper if Jade buys 16 pencils from Shop Q instead of Shop R
= 156 - 144
= $12
Answer(s): $12