PSLE A stationery kiosk is having a book sale.
The 1st book is at 10% 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.
Vanessa and Bryan each bought two books at the sale.
- Vanessa's books were priced at $11 and $19. How much less did she pay for the 2nd book than the 1st book?
- Bryan paid a total of $44.40 for his two books. He paid $13.20 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% $19 |
100% $11 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 19
=
90100 x 19
= $17.10
Selling price of 2nd book
= 60% x 11
=
60100 x 11
= $6.60
Amount that Vanessa paid less for the 2nd book than the 1st book
= 17.10 - 6.60
= $10.50
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $13.20 |
1 u |
$44.40 |
(b)
Sale price of the 1st book = 1 u + 13.20
Sale price of the 2nd book = 1 u
Total amount that Bryan paid
= 1 u + 13.20 + 1 u
= 2 u + 13.20
2 u + 13.20 = 44.40
2 u = 44.40 - 13.20
2 u = 31.20
1 u = 31.20 ÷ 2 = 15.60
Sale price of the 1st book
= 1 u + 13.20
= $28.80
90% of the price = $28.80
100% of the price =
28.8090 x 100 = $32
Selling price of the 1st book before discount = $32
Answer(s): (a) $10.50; (b) $32