PSLE A stationery kiosk is having a book sale. The 1st book is at 10% discount. The 2nd book is at 15% discount. The price of the 2nd book should be equal or lower than the price of the 1st book.
- Nicole's books were priced at $26 and $38. How much more did she pay for the 1st book than the 2nd book?
- Albert paid a total of $65.70 for his two books. He paid $4.50 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% $26 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 38
=
90100 x 38
= $34.20
Selling price of 2nd book
= 85% x 26
=
85100 x 26
= $22.10
Amount that Nicole paid more for the 1st book than the 2nd book
= 34.20 - 22.10
= $12.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $4.50 |
1 u |
$65.70 |
(b)
Sale price of the 1st book = 1 u + 4.50
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 4.50 + 1 u
= 2 u + 4.50
2 u + 4.50 = 65.70
2 u = 65.70 - 4.50
2 u = 61.20
1 u = 61.20 ÷ 2 = 30.60
Sale price of the 1st book
= 1 u + 4.50
= $35.10
90% of the price = $35.10
100% of the price =
35.1090 x 100 = $39
Selling price of the 1st book before discount = $39
Answer(s): (a) $12.10; (b) $39