PSLE A shop is having a book sale.
The 1st book is at 20% 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.
Olivia and Simon each bought two books at the sale.
- Olivia's books were priced at $25 and $26. How much less did she pay for the 2nd book than the 1st book?
- Simon paid a total of $39.75 for his two books. He paid $9.85 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% $26 |
100% $25 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 26
=
80100 x 26
= $20.80
Selling price of 2nd book
= 65% x 25
=
65100 x 25
= $16.25
Amount that Olivia paid less for the 2nd book than the 1st book
= 20.80 - 16.25
= $4.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $9.85 |
1 u |
$39.75 |
(b)
Sale price of the 1st book = 1 u + 9.85
Sale price of the 2nd book = 1 u
Total amount that Simon paid
= 1 u + 9.85 + 1 u
= 2 u + 9.85
2 u + 9.85 = 39.75
2 u = 39.75 - 9.85
2 u = 29.90
1 u = 29.90 ÷ 2 = 14.95
Sale price of the 1st book
= 1 u + 9.85
= $24.80
80% of the price = $24.80
100% of the price =
24.8080 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $4.55; (b) $31