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.
Jaslyn and Ivan each bought two books at the sale.
- Jaslyn's books were priced at $16 and $23. How much less did she pay for the 2nd book than the 1st book?
- Ivan paid a total of $33.05 for his two books. He paid $10.65 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% $23 |
100% $16 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 23
=
95100 x 23
= $21.85
Selling price of 2nd book
= 80% x 16
=
80100 x 16
= $12.80
Amount that Jaslyn paid less for the 2nd book than the 1st book
= 21.85 - 12.80
= $9.05
|
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 + $10.65 |
1 u |
$33.05 |
(b)
Sale price of the 1st book = 1 u + 10.65
Sale price of the 2nd book = 1 u
Total amount that Ivan paid
= 1 u + 10.65 + 1 u
= 2 u + 10.65
2 u + 10.65 = 33.05
2 u = 33.05 - 10.65
2 u = 22.40
1 u = 22.40 ÷ 2 = 11.20
Sale price of the 1st book
= 1 u + 10.65
= $21.85
95% of the price = $21.85
100% of the price =
21.8595 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $9.05; (b) $23