PSLE A book 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.
Lucy and Howard each bought two books at the sale.
- Lucy's books were priced at $1 and $11. How much did she pay for them?
- Howard paid a total of $37.50 for his two books. He paid $8.90 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $11 |
100% $1 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 11
=
80100 x 11
= $8.80
Selling price of 2nd book
= 65% x 1
=
65100 x 1
= $0.65
Total amount that Lucy paid
= 8.80 + 0.65
= $9.45
|
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 + $8.90 |
1 u |
$37.50 |
(b)
Sale price of the 1st book = 1 u + 8.90
Sale price of the 2nd book = 1 u
Total amount that Howard paid
= 1 u + 8.90 + 1 u
= 2 u + 8.90
2 u + 8.90 = 37.50
2 u = 37.50 - 8.90
2 u = 28.60
1 u = 28.60 ÷ 2 = 14.30
Sale price of the 2nd book = $14.30
65% of the price = $14.30
100% of the price =
14.3065 x 100 = $22
Selling price of the 2nd book before discount = $22
Answer(s): (a) $9.45; (b) $22