PSLE A book shop is having a book sale.
The 1st book is at 25% 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.
Victoria and Harry each bought two books at the sale.
- Victoria's books were priced at $19 and $19. How much more did she pay for the 1st book than the 2nd book?
- Harry paid a total of $48.65 for his two books. He paid $3.85 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% $19 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 19
=
75100 x 19
= $14.25
Selling price of 2nd book
= 70% x 19
=
70100 x 19
= $13.30
Amount that Victoria paid more for the 1st book than the 2nd book
= 14.25 - 13.30
= $0.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $3.85 |
1 u |
$48.65 |
(b)
Sale price of the 1st book = 1 u + 3.85
Sale price of the 2nd book = 1 u
Total amount that Harry paid
= 1 u + 3.85 + 1 u
= 2 u + 3.85
2 u + 3.85 = 48.65
2 u = 48.65 - 3.85
2 u = 44.80
1 u = 44.80 ÷ 2 = 22.40
Sale price of the 1st book
= 1 u + 3.85
= $26.25
75% of the price = $26.25
100% of the price =
26.2575 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $0.95; (b) $35