PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Min and Japheth each bought two books at the sale.
- Min's books were priced at $38 and $38. How much more did she pay for the 1st book than the 2nd book?
- Japheth paid a total of $58.50 for his two books. He paid $13.70 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $38 |
100% $38 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 38
=
95100 x 38
= $36.10
Selling price of 2nd book
= 80% x 38
=
80100 x 38
= $30.40
Amount that Min paid more for the 1st book than the 2nd book
= 36.10 - 30.40
= $5.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $13.70 |
1 u |
$58.50 |
(b)
Sale price of the 1st book = 1 u + 13.70
Sale price of the 2nd book = 1 u
Total amount that Japheth paid
= 1 u + 13.70 + 1 u
= 2 u + 13.70
2 u + 13.70 = 58.50
2 u = 58.50 - 13.70
2 u = 44.80
1 u = 44.80 ÷ 2 = 22.40
Sale price of the 1st book
= 1 u + 13.70
= $36.10
95% of the price = $36.10
100% of the price =
36.1095 x 100 = $38
Selling price of the 1st book before discount = $38
Answer(s): (a) $5.70; (b) $38