PSLE A stationery kiosk is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Nicole and Jack each bought two books at the sale.
- Nicole's books were priced at $13 and $14. How much less did she pay for the 2nd book than the 1st book?
- Jack paid a total of $43.15 for his two books. He paid $8.05 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $14 |
100% $13 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 14
=
80100 x 14
= $11.20
Selling price of 2nd book
= 65% x 13
=
65100 x 13
= $8.45
Amount that Nicole paid less for the 2nd book than the 1st book
= 11.20 - 8.45
= $2.75
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $8.05 |
1 u |
$43.15 |
(b)
Sale price of the 1st book = 1 u + 8.05
Sale price of the 2nd book = 1 u
Total amount that Jack paid
= 1 u + 8.05 + 1 u
= 2 u + 8.05
2 u + 8.05 = 43.15
2 u = 43.15 - 8.05
2 u = 35.10
1 u = 35.10 ÷ 2 = 17.55
Sale price of the 1st book
= 1 u + 8.05
= $25.60
80% of the price = $25.60
100% of the price =
25.6080 x 100 = $32
Selling price of the 1st book before discount = $32
Answer(s): (a) $2.75; (b) $32