PSLE A store is having a book sale.
The 1st book is at 25% 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.
Anna and Glen each bought two books at the sale.
- Anna's books were priced at $17 and $26. How much less did she pay for the 2nd book than the 1st book?
- Glen paid a total of $50.15 for his two books. He paid $5.35 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% $26 |
100% $17 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 26
=
75100 x 26
= $19.50
Selling price of 2nd book
= 70% x 17
=
70100 x 17
= $11.90
Amount that Anna paid less for the 2nd book than the 1st book
= 19.50 - 11.90
= $7.60
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $5.35 |
1 u |
$50.15 |
(b)
Sale price of the 1st book = 1 u + 5.35
Sale price of the 2nd book = 1 u
Total amount that Glen paid
= 1 u + 5.35 + 1 u
= 2 u + 5.35
2 u + 5.35 = 50.15
2 u = 50.15 - 5.35
2 u = 44.80
1 u = 44.80 ÷ 2 = 22.40
Sale price of the 1st book
= 1 u + 5.35
= $27.75
75% of the price = $27.75
100% of the price =
27.7575 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $7.60; (b) $37