PSLE A bookstore 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.
Yoko and Fred each bought two books at the sale.
- Yoko's books were priced at $26 and $27. How much more did she pay for the 1st book than the 2nd book?
- Fred paid a total of $43.55 for his two books. He paid $5.75 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% $27 |
100% $26 |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85% |
70% |
? |
(a)
Selling price of the 1st book
= 85% x 27
=
85100 x 27
= $22.95
Selling price of 2nd book
= 70% x 26
=
70100 x 26
= $18.20
Amount that Yoko paid more for the 1st book than the 2nd book
= 22.95 - 18.20
= $4.75
|
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 + $5.75 |
1 u |
$43.55 |
(b)
Sale price of the 1st book = 1 u + 5.75
Sale price of the 2nd book = 1 u
Total amount that Fred paid
= 1 u + 5.75 + 1 u
= 2 u + 5.75
2 u + 5.75 = 43.55
2 u = 43.55 - 5.75
2 u = 37.80
1 u = 37.80 ÷ 2 = 18.90
Sale price of the 1st book
= 1 u + 5.75
= $24.65
85% of the price = $24.65
100% of the price =
24.6585 x 100 = $29
Selling price of the 1st book before discount = $29
Answer(s): (a) $4.75; (b) $29