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.
Sarah and Daniel each bought two books at the sale.
- Sarah's books were priced at $27 and $39. How much less did she pay for the 2nd book than the 1st book?
- Daniel paid a total of $51.60 for his two books. He paid $13.20 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $39 |
100% $27 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 39
=
90100 x 39
= $35.10
Selling price of 2nd book
= 60% x 27
=
60100 x 27
= $16.20
Amount that Sarah paid less for the 2nd book than the 1st book
= 35.10 - 16.20
= $18.90
|
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 |
$51.60 |
(b)
Sale price of the 1st book = 1 u + 13.20
Sale price of the 2nd book = 1 u
Total amount that Daniel paid
= 1 u + 13.20 + 1 u
= 2 u + 13.20
2 u + 13.20 = 51.60
2 u = 51.60 - 13.20
2 u = 38.40
1 u = 38.40 ÷ 2 = 19.20
Sale price of the 1st book
= 1 u + 13.20
= $32.40
90% of the price = $32.40
100% of the price =
32.4090 x 100 = $36
Selling price of the 1st book before discount = $36
Answer(s): (a) $18.90; (b) $36