PSLE A store is having a book sale.
The 1st book is at 15% 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.
Lucy and Howard each bought two books at the sale.
- Lucy's books were priced at $26 and $39. How much less did she pay for the 2nd book than the 1st book?
- Howard paid a total of $51.05 for his two books. He paid $11.85 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% $26 |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85% |
70% |
? |
(a)
Selling price of the 1st book
= 85% x 39
=
85100 x 39
= $33.15
Selling price of 2nd book
= 70% x 26
=
70100 x 26
= $18.20
Amount that Lucy paid less for the 2nd book than the 1st book
= 33.15 - 18.20
= $14.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $11.85 |
1 u |
$51.05 |
(b)
Sale price of the 1st book = 1 u + 11.85
Sale price of the 2nd book = 1 u
Total amount that Howard paid
= 1 u + 11.85 + 1 u
= 2 u + 11.85
2 u + 11.85 = 51.05
2 u = 51.05 - 11.85
2 u = 39.20
1 u = 39.20 ÷ 2 = 19.60
Sale price of the 1st book
= 1 u + 11.85
= $31.45
85% of the price = $31.45
100% of the price =
31.4585 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $14.95; (b) $37