PSLE A stationery kiosk is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Xandra and Glen each bought two books at the sale.
- Xandra's books were priced at $4 and $15. How much more did she pay for the 1st book than the 2nd book?
- Glen paid a total of $52.95 for his two books. He paid $9.75 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% $15 |
100% $4 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 15
=
95100 x 15
= $14.25
Selling price of 2nd book
= 80% x 4
=
80100 x 4
= $3.20
Amount that Xandra paid more for the 1st book than the 2nd book
= 14.25 - 3.20
= $11.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $9.75 |
1 u |
$52.95 |
(b)
Sale price of the 1st book = 1 u + 9.75
Sale price of the 2nd book = 1 u
Total amount that Glen paid
= 1 u + 9.75 + 1 u
= 2 u + 9.75
2 u + 9.75 = 52.95
2 u = 52.95 - 9.75
2 u = 43.20
1 u = 43.20 ÷ 2 = 21.60
Sale price of the 1st book
= 1 u + 9.75
= $31.35
95% of the price = $31.35
100% of the price =
31.3595 x 100 = $33
Selling price of the 1st book before discount = $33
Answer(s): (a) $11.05; (b) $33