PSLE A stationery kiosk is having a book sale. The 1st book is at 10% 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.
- Emma's books were priced at $25 and $34. How much less did she pay for the 2nd book than the 1st book?
- Nick paid a total of $53.20 for his two books. He paid $9.80 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% $34 |
100% $25 |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90% |
70% |
? |
(a)
Selling price of the 1st book
= 90% x 34
=
90100 x 34
= $30.60
Selling price of 2nd book
= 70% x 25
=
70100 x 25
= $17.50
Amount that Emma paid less for the 2nd book than the 1st book
= 30.60 - 17.50
= $13.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $9.80 |
1 u |
$53.20 |
(b)
Sale price of the 1st book = 1 u + 9.80
Sale price of the 2nd book = 1 u
Total amount that Nick paid
= 1 u + 9.80 + 1 u
= 2 u + 9.80
2 u + 9.80 = 53.20
2 u = 53.20 - 9.80
2 u = 43.40
1 u = 43.40 ÷ 2 = 21.70
Sale price of the 1st book
= 1 u + 9.80
= $31.50
90% of the price = $31.50
100% of the price =
31.5090 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $13.10; (b) $35