PSLE A store is having a book sale.
The 1st book is at 10% 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.
Jean and Jeremy each bought two books at the sale.
- Jean's books were priced at $34 and $36. How much less did she pay for the 2nd book than the 1st book?
- Jeremy paid a total of $59.70 for his two books. He paid $6.90 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% $36 |
100% $34 |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90% |
80% |
? |
(a)
Selling price of the 1st book
= 90% x 36
=
90100 x 36
= $32.40
Selling price of 2nd book
= 80% x 34
=
80100 x 34
= $27.20
Amount that Jean paid less for the 2nd book than the 1st book
= 32.40 - 27.20
= $5.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 20% |
|
Sale price |
90%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $6.90 |
1 u |
$59.70 |
(b)
Sale price of the 1st book = 1 u + 6.90
Sale price of the 2nd book = 1 u
Total amount that Jeremy paid
= 1 u + 6.90 + 1 u
= 2 u + 6.90
2 u + 6.90 = 59.70
2 u = 59.70 - 6.90
2 u = 52.80
1 u = 52.80 ÷ 2 = 26.40
Sale price of the 1st book
= 1 u + 6.90
= $33.30
90% of the price = $33.30
100% of the price =
33.3090 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $5.20; (b) $37