PSLE A stationery kiosk is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Zara and Lee each bought two books at the sale.
- Zara's books were priced at $2 and $14. How much less did she pay for the 2nd book than the 1st book?
- Lee paid a total of $31.95 for his two books. He paid $5.55 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% $14 |
100% $2 |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75% |
60% |
? |
(a)
Selling price of the 1st book
= 75% x 14
=
75100 x 14
= $10.50
Selling price of 2nd book
= 60% x 2
=
60100 x 2
= $1.20
Amount that Zara paid less for the 2nd book than the 1st book
= 10.50 - 1.20
= $9.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 40% |
|
Sale price |
75%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $5.55 |
1 u |
$31.95 |
(b)
Sale price of the 1st book = 1 u + 5.55
Sale price of the 2nd book = 1 u
Total amount that Lee paid
= 1 u + 5.55 + 1 u
= 2 u + 5.55
2 u + 5.55 = 31.95
2 u = 31.95 - 5.55
2 u = 26.40
1 u = 26.40 ÷ 2 = 13.20
Sale price of the 1st book
= 1 u + 5.55
= $18.75
75% of the price = $18.75
100% of the price =
18.7575 x 100 = $25
Selling price of the 1st book before discount = $25
Answer(s): (a) $9.30; (b) $25