PSLE A stationery shop is having a book sale.
The 1st book is at 15% 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.
Raeann and Brandon each bought two books at the sale.
- Raeann's books were priced at $3 and $14. How much more did she pay for the 1st book than the 2nd book?
- Brandon paid a total of $36.40 for his two books. He paid $7.80 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% $14 |
100% $3 |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85% |
65% |
? |
(a)
Selling price of the 1st book
= 85% x 14
=
85100 x 14
= $11.90
Selling price of 2nd book
= 65% x 3
=
65100 x 3
= $1.95
Amount that Raeann paid more for the 1st book than the 2nd book
= 11.90 - 1.95
= $9.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 35% |
|
Sale price |
85%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $7.80 |
1 u |
$36.40 |
(b)
Sale price of the 1st book = 1 u + 7.80
Sale price of the 2nd book = 1 u
Total amount that Brandon paid
= 1 u + 7.80 + 1 u
= 2 u + 7.80
2 u + 7.80 = 36.40
2 u = 36.40 - 7.80
2 u = 28.60
1 u = 28.60 ÷ 2 = 14.30
Sale price of the 1st book
= 1 u + 7.80
= $22.10
85% of the price = $22.10
100% of the price =
22.1085 x 100 = $26
Selling price of the 1st book before discount = $26
Answer(s): (a) $9.95; (b) $26