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.
Marion and Zane each bought two books at the sale.
- Marion's books were priced at $4 and $12. How much more did she pay for the 1st book than the 2nd book?
- Zane paid a total of $62.35 for his two books. He paid $7.95 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% $12 |
100% $4 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 12
=
95100 x 12
= $11.40
Selling price of 2nd book
= 80% x 4
=
80100 x 4
= $3.20
Amount that Marion paid more for the 1st book than the 2nd book
= 11.40 - 3.20
= $8.20
|
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 + $7.95 |
1 u |
$62.35 |
(b)
Sale price of the 1st book = 1 u + 7.95
Sale price of the 2nd book = 1 u
Total amount that Zane paid
= 1 u + 7.95 + 1 u
= 2 u + 7.95
2 u + 7.95 = 62.35
2 u = 62.35 - 7.95
2 u = 54.40
1 u = 54.40 ÷ 2 = 27.20
Sale price of the 1st book
= 1 u + 7.95
= $35.15
95% of the price = $35.15
100% of the price =
35.1595 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $8.20; (b) $37