PSLE A bookstore is having a book sale.
The 1st book is at 20% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Yoko and Tom each bought two books at the sale.
- Yoko's books were priced at $5 and $17. How much less did she pay for the 2nd book than the 1st book?
- Tom paid a total of $37.45 for his two books. He paid $8.95 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% $17 |
100% $5 |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80% |
75% |
? |
(a)
Selling price of the 1st book
= 80% x 17
=
80100 x 17
= $13.60
Selling price of 2nd book
= 75% x 5
=
75100 x 5
= $3.75
Amount that Yoko paid less for the 2nd book than the 1st book
= 13.60 - 3.75
= $9.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 25% |
|
Sale price |
80%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $8.95 |
1 u |
$37.45 |
(b)
Sale price of the 1st book = 1 u + 8.95
Sale price of the 2nd book = 1 u
Total amount that Tom paid
= 1 u + 8.95 + 1 u
= 2 u + 8.95
2 u + 8.95 = 37.45
2 u = 37.45 - 8.95
2 u = 28.50
1 u = 28.50 ÷ 2 = 14.25
Sale price of the 1st book
= 1 u + 8.95
= $23.20
80% of the price = $23.20
100% of the price =
23.2080 x 100 = $29
Selling price of the 1st book before discount = $29
Answer(s): (a) $9.85; (b) $29