PSLE A bookstore is having a book sale.
The 1st book is at 20% 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.
Eva and Mark each bought two books at the sale.
- Eva's books were priced at $8 and $11. How much less did she pay for the 2nd book than the 1st book?
- Mark paid a total of $38.40 for his two books. He paid $4.80 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% $11 |
100% $8 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 11
=
80100 x 11
= $8.80
Selling price of 2nd book
= 70% x 8
=
70100 x 8
= $5.60
Amount that Eva paid less for the 2nd book than the 1st book
= 8.80 - 5.60
= $3.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $4.80 |
1 u |
$38.40 |
(b)
Sale price of the 1st book = 1 u + 4.80
Sale price of the 2nd book = 1 u
Total amount that Mark paid
= 1 u + 4.80 + 1 u
= 2 u + 4.80
2 u + 4.80 = 38.40
2 u = 38.40 - 4.80
2 u = 33.60
1 u = 33.60 ÷ 2 = 16.80
Sale price of the 1st book
= 1 u + 4.80
= $21.60
80% of the price = $21.60
100% of the price =
21.6080 x 100 = $27
Selling price of the 1st book before discount = $27
Answer(s): (a) $3.20; (b) $27