PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Xuan and Harry each bought two books at the sale.
- Xuan's books were priced at $27 and $31. How much less did she pay for the 2nd book than the 1st book?
- Harry paid a total of $51.95 for his two books. He paid $18.35 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% $31 |
100% $27 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 31
=
95100 x 31
= $29.45
Selling price of 2nd book
= 60% x 27
=
60100 x 27
= $16.20
Amount that Xuan paid less for the 2nd book than the 1st book
= 29.45 - 16.20
= $13.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $18.35 |
1 u |
$51.95 |
(b)
Sale price of the 1st book = 1 u + 18.35
Sale price of the 2nd book = 1 u
Total amount that Harry paid
= 1 u + 18.35 + 1 u
= 2 u + 18.35
2 u + 18.35 = 51.95
2 u = 51.95 - 18.35
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Sale price of the 1st book
= 1 u + 18.35
= $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) $13.25; (b) $37