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.
Vanessa and Simon each bought two books at the sale.
- Vanessa's books were priced at $37 and $37. How much less did she pay for the 2nd book than the 1st book?
- Simon paid a total of $25.40 for his two books. He paid $9.80 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% $37 |
100% $37 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 37
=
80100 x 37
= $29.60
Selling price of 2nd book
= 65% x 37
=
65100 x 37
= $24.05
Amount that Vanessa paid less for the 2nd book than the 1st book
= 29.60 - 24.05
= $5.55
|
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 + $9.80 |
1 u |
$25.40 |
(b)
Sale price of the 1st book = 1 u + 9.80
Sale price of the 2nd book = 1 u
Total amount that Simon paid
= 1 u + 9.80 + 1 u
= 2 u + 9.80
2 u + 9.80 = 25.40
2 u = 25.40 - 9.80
2 u = 15.60
1 u = 15.60 ÷ 2 = 7.80
Sale price of the 1st book
= 1 u + 9.80
= $17.60
80% of the price = $17.60
100% of the price =
17.6080 x 100 = $22
Selling price of the 1st book before discount = $22
Answer(s): (a) $5.55; (b) $22