PSLE A shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Kimberly and Brandon each bought two books at the sale.
- Kimberly's books were priced at $37 and $38. How much more did she pay for the 1st book than the 2nd book?
- Brandon paid a total of $39.90 for his two books. He paid $15.20 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% $38 |
100% $37 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 38
=
95100 x 38
= $36.10
Selling price of 2nd book
= 65% x 37
=
65100 x 37
= $24.05
Amount that Kimberly paid more for the 1st book than the 2nd book
= 36.10 - 24.05
= $12.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $15.20 |
1 u |
$39.90 |
(b)
Sale price of the 1st book = 1 u + 15.20
Sale price of the 2nd book = 1 u
Total amount that Brandon paid
= 1 u + 15.20 + 1 u
= 2 u + 15.20
2 u + 15.20 = 39.90
2 u = 39.90 - 15.20
2 u = 24.70
1 u = 24.70 ÷ 2 = 12.35
Sale price of the 1st book
= 1 u + 15.20
= $27.55
95% of the price = $27.55
100% of the price =
27.5595 x 100 = $29
Selling price of the 1st book before discount = $29
Answer(s): (a) $12.05; (b) $29