PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Shiyun and Ethan each bought two books at the sale.
- Shiyun's books were priced at $19 and $27. How much less did she pay for the 2nd book than the 1st book?
- Ethan paid a total of $36.55 for his two books. He paid $7.15 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $27 |
100% $19 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 27
=
95100 x 27
= $25.65
Selling price of 2nd book
= 70% x 19
=
70100 x 19
= $13.30
Amount that Shiyun paid less for the 2nd book than the 1st book
= 25.65 - 13.30
= $12.35
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $7.15 |
1 u |
$36.55 |
(b)
Sale price of the 1st book = 1 u + 7.15
Sale price of the 2nd book = 1 u
Total amount that Ethan paid
= 1 u + 7.15 + 1 u
= 2 u + 7.15
2 u + 7.15 = 36.55
2 u = 36.55 - 7.15
2 u = 29.40
1 u = 29.40 ÷ 2 = 14.70
Sale price of the 1st book
= 1 u + 7.15
= $21.85
95% of the price = $21.85
100% of the price =
21.8595 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $12.35; (b) $23