PSLE A stationery kiosk is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Linda and Julian each bought two books at the sale.
- Linda's books were priced at $33 and $36. How much more did she pay for the 1st book than the 2nd book?
- Julian paid a total of $53.60 for his two books. He paid $8.80 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% $36 |
100% $33 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 36
=
80100 x 36
= $28.80
Selling price of 2nd book
= 70% x 33
=
70100 x 33
= $23.10
Amount that Linda paid more for the 1st book than the 2nd book
= 28.80 - 23.10
= $5.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $8.80 |
1 u |
$53.60 |
(b)
Sale price of the 1st book = 1 u + 8.80
Sale price of the 2nd book = 1 u
Total amount that Julian paid
= 1 u + 8.80 + 1 u
= 2 u + 8.80
2 u + 8.80 = 53.60
2 u = 53.60 - 8.80
2 u = 44.80
1 u = 44.80 ÷ 2 = 22.40
Sale price of the 1st book
= 1 u + 8.80
= $31.20
80% of the price = $31.20
100% of the price =
31.2080 x 100 = $39
Selling price of the 1st book before discount = $39
Answer(s): (a) $5.70; (b) $39