PSLE A bookstore 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.
Marion and Bobby each bought two books at the sale.
- Marion's books were priced at $18 and $19. How much less did she pay for the 2nd book than the 1st book?
- Bobby paid a total of $30.65 for his two books. He paid $11.15 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% $19 |
100% $18 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 19
=
95100 x 19
= $18.05
Selling price of 2nd book
= 65% x 18
=
65100 x 18
= $11.70
Amount that Marion paid less for the 2nd book than the 1st book
= 18.05 - 11.70
= $6.35
|
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 + $11.15 |
1 u |
$30.65 |
(b)
Sale price of the 1st book = 1 u + 11.15
Sale price of the 2nd book = 1 u
Total amount that Bobby paid
= 1 u + 11.15 + 1 u
= 2 u + 11.15
2 u + 11.15 = 30.65
2 u = 30.65 - 11.15
2 u = 19.50
1 u = 19.50 ÷ 2 = 9.75
Sale price of the 1st book
= 1 u + 11.15
= $20.90
95% of the price = $20.90
100% of the price =
20.9095 x 100 = $22
Selling price of the 1st book before discount = $22
Answer(s): (a) $6.35; (b) $22