The usual price of a pencil sold at Shop B and C is $10. During a sale, a discount of 20% is given to every pencil sold at Shop B. At Shop C, a discount of 50% is given to the 6th pencil for every 6 pencils sold. How much cheaper would it be if Dana buys 16 pencils from Shop B instead of Shop C?
|
Shop B |
Shop C |
Price of 1 pencil |
80% $8 |
100% $10 |
Every 6th pencil |
|
50% $5 |
Price of 1 pencil from Shop B in percentage
= 100% - 20%
= 80%
Price of 1 pencil from Shop B at 20% discount
= 80% x 10
=
80100 x 10
= $8
Cost of 16 pencils from Shop B
= 16 x 8
= $128
Price of the 6th pencil from Shop C in percentage
= 100% - 50%
= 50%
Cost of 6th pencil at Shop C
= 50% x 10
=
50100 x 10
= $5
Cost of 1 set of 6 pencils at Shop C
= 10 x 5 + 5
= $55
Number of sets of 6 for pencils at Shop C
= 16 ÷ 6
= 2 r 4
Cost of 2 sets of 6 pencils at Shop C
= 2 x 55
= $110
Cost of 4 pencils at Shop C
= 4 x 5
= $20
Cost of 16 pencils at Shop C
= 110 + 20
= $130
Amount cheaper if Dana buys 16 pencils from Shop B instead of Shop C
= 130 - 128
= $2
Answer(s): $2