The usual price of a pen sold at Shop P and Q is $35. During a sale, a discount of 20% is given to every pen sold at Shop P. At Shop Q, a discount of 40% is given to the 6th pen for every 6 pens sold. How much cheaper would it be if Abi buys 16 pens from Shop P instead of Shop Q?
|
Shop P |
Shop Q |
Price of 1 pen |
80% $28 |
100% $35 |
Every 6th pen |
|
60% $21 |
Price of 1 pen from Shop P in percentage
= 100% - 20%
= 80%
Price of 1 pen from Shop P at 20% discount
= 80% x 35
=
80100 x 35
= $28
Cost of 16 pens from Shop P
= 16 x 28
= $448
Price of the 6th pen from Shop Q in percentage
= 100% - 40%
= 60%
Cost of 6th pen at Shop Q
= 60% x 35
=
60100 x 35
= $21
Cost of 1 set of 6 pens at Shop Q
= 35 x 5 + 21
= $196
Number of sets of 6 for pens at Shop Q
= 16 ÷ 6
= 2 r 4
Cost of 2 sets of 6 pens at Shop Q
= 2 x 196
= $392
Cost of 4 pens at Shop Q
= 4 x 21
= $84
Cost of 16 pens at Shop Q
= 392 + 84
= $476
Amount cheaper if Abi buys 16 pens from Shop P instead of Shop Q
= 476 - 448
= $28
Answer(s): $28