PSLE A store 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.
Jen and Ahmad each bought two books at the sale.
- Jen's books were priced at $8 and $16. How much more did she pay for the 1st book than the 2nd book?
- Ahmad paid a total of $63.30 for his two books. He paid $8.90 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% $16 |
100% $8 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 16
=
95100 x 16
= $15.20
Selling price of 2nd book
= 80% x 8
=
80100 x 8
= $6.40
Amount that Jen paid more for the 1st book than the 2nd book
= 15.20 - 6.40
= $8.80
|
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 + $8.90 |
1 u |
$63.30 |
(b)
Sale price of the 1st book = 1 u + 8.90
Sale price of the 2nd book = 1 u
Total amount that Ahmad paid
= 1 u + 8.90 + 1 u
= 2 u + 8.90
2 u + 8.90 = 63.30
2 u = 63.30 - 8.90
2 u = 54.40
1 u = 54.40 ÷ 2 = 27.20
Sale price of the 1st book
= 1 u + 8.90
= $36.10
95% of the price = $36.10
100% of the price =
36.1095 x 100 = $38
Selling price of the 1st book before discount = $38
Answer(s): (a) $8.80; (b) $38