PSLE A stationery shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Linda and Ryan each bought two books at the sale.
- Linda's books were priced at $27 and $38. How much more did she pay for the 1st book than the 2nd book?
- Ryan paid a total of $37.15 for his two books. He paid $6.55 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% $38 |
100% $27 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 38
=
95100 x 38
= $36.10
Selling price of 2nd book
= 85% x 27
=
85100 x 27
= $22.95
Amount that Linda paid more for the 1st book than the 2nd book
= 36.10 - 22.95
= $13.15
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $6.55 |
1 u |
$37.15 |
(b)
Sale price of the 1st book = 1 u + 6.55
Sale price of the 2nd book = 1 u
Total amount that Ryan paid
= 1 u + 6.55 + 1 u
= 2 u + 6.55
2 u + 6.55 = 37.15
2 u = 37.15 - 6.55
2 u = 30.60
1 u = 30.60 ÷ 2 = 15.30
Sale price of the 1st book
= 1 u + 6.55
= $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) $13.15; (b) $23