PSLE A shop is having a book sale.
The 1st book is at 25% 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.
Lynn and Ken each bought two books at the sale.
- Lynn's books were priced at $21 and $30. How much did she pay for them?
- Ken paid a total of $43.65 for his two books. He paid $5.85 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $30 |
100% $21 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 30
=
75100 x 30
= $22.50
Selling price of 2nd book
= 70% x 21
=
70100 x 21
= $14.70
Total amount that Lynn paid
= 22.50 + 14.70
= $37.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $5.85 |
1 u |
$43.65 |
(b)
Sale price of the 1st book = 1 u + 5.85
Sale price of the 2nd book = 1 u
Total amount that Ken paid
= 1 u + 5.85 + 1 u
= 2 u + 5.85
2 u + 5.85 = 43.65
2 u = 43.65 - 5.85
2 u = 37.80
1 u = 37.80 ÷ 2 = 18.90
Sale price of the 2nd book = $18.90
70% of the price = $18.90
100% of the price =
18.9070 x 100 = $27
Selling price of the 2nd book before discount = $27
Answer(s): (a) $37.20; (b) $27