The usual price of a pen sold at Shop Y and Z is $20. During a sale, a discount of 15% is given to every pen sold at Shop Y. At Shop Z, a discount of 30% is given to the 4th pen for every 4 pens sold. How much cheaper would it be if Gwen buys 15 pens from Shop Y instead of Shop Z?
|
Shop Y |
Shop Z |
Price of 1 pen |
85% $17 |
100% $20 |
Every 4th pen |
|
70% $14 |
Price of 1 pen from Shop Y in percentage
= 100% - 15%
= 85%
Price of 1 pen from Shop Y at 15% discount
= 85% x 20
=
85100 x 20
= $17
Cost of 15 pens from Shop Y
= 15 x 17
= $255
Price of the 4th pen from Shop Z in percentage
= 100% - 30%
= 70%
Cost of 4th pen at Shop Z
= 70% x 20
=
70100 x 20
= $14
Cost of 1 set of 4 pens at Shop Z
= 20 x 3 + 14
= $74
Number of sets of 4 for pens at Shop Z
= 15 ÷ 4
= 3 r 3
Cost of 3 sets of 4 pens at Shop Z
= 3 x 74
= $222
Cost of 3 pens at Shop Z
= 3 x 14
= $42
Cost of 15 pens at Shop Z
= 222 + 42
= $264
Amount cheaper if Gwen buys 15 pens from Shop Y instead of Shop Z
= 264 - 255
= $9
Answer(s): $9