PSLE A stationery kiosk is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Jane and Dylan each bought two books at the sale.
- Jane's books were priced at $10 and $23. How much more did she pay for the 1st book than the 2nd book?
- Dylan paid a total of $45.30 for his two books. He paid $7.90 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $23 |
100% $10 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 23
=
95100 x 23
= $21.85
Selling price of 2nd book
= 85% x 10
=
85100 x 10
= $8.50
Amount that Jane paid more for the 1st book than the 2nd book
= 21.85 - 8.50
= $13.35
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $7.90 |
1 u |
$45.30 |
(b)
Sale price of the 1st book = 1 u + 7.90
Sale price of the 2nd book = 1 u
Total amount that Dylan paid
= 1 u + 7.90 + 1 u
= 2 u + 7.90
2 u + 7.90 = 45.30
2 u = 45.30 - 7.90
2 u = 37.40
1 u = 37.40 ÷ 2 = 18.70
Sale price of the 1st book
= 1 u + 7.90
= $26.60
95% of the price = $26.60
100% of the price =
26.6095 x 100 = $28
Selling price of the 1st book before discount = $28
Answer(s): (a) $13.35; (b) $28