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.
Yen and Neave each bought two books at the sale.
- Yen's books were priced at $28 and $32. How much less did she pay for the 2nd book than the 1st book?
- Neave paid a total of $50.25 for his two books. He paid $7.35 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% $32 |
100% $28 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 32
=
80100 x 32
= $25.60
Selling price of 2nd book
= 65% x 28
=
65100 x 28
= $18.20
Amount that Yen paid less for the 2nd book than the 1st book
= 25.60 - 18.20
= $7.40
|
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 + $7.35 |
1 u |
$50.25 |
(b)
Sale price of the 1st book = 1 u + 7.35
Sale price of the 2nd book = 1 u
Total amount that Neave paid
= 1 u + 7.35 + 1 u
= 2 u + 7.35
2 u + 7.35 = 50.25
2 u = 50.25 - 7.35
2 u = 42.90
1 u = 42.90 ÷ 2 = 21.45
Sale price of the 1st book
= 1 u + 7.35
= $28.80
80% of the price = $28.80
100% of the price =
28.8080 x 100 = $36
Selling price of the 1st book before discount = $36
Answer(s): (a) $7.40; (b) $36