PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 10% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Jane and Billy each bought two books at the sale.
- Jane's books were priced at $27 and $28. How much more did she pay for the 1st book than the 2nd book?
- Billy paid a total of $44.55 for his two books. He paid $6.75 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% $28 |
100% $27 |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95% |
90% |
? |
(a)
Selling price of the 1st book
= 95% x 28
=
95100 x 28
= $26.60
Selling price of 2nd book
= 90% x 27
=
90100 x 27
= $24.30
Amount that Jane paid more for the 1st book than the 2nd book
= 26.60 - 24.30
= $2.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 10% |
|
Sale price |
95%
|
90%
|
|
Compare 1st book and 2nd book |
1 u + $6.75 |
1 u |
$44.55 |
(b)
Sale price of the 1st book = 1 u + 6.75
Sale price of the 2nd book = 1 u
Total amount that Billy paid
= 1 u + 6.75 + 1 u
= 2 u + 6.75
2 u + 6.75 = 44.55
2 u = 44.55 - 6.75
2 u = 37.80
1 u = 37.80 ÷ 2 = 18.90
Sale price of the 1st book
= 1 u + 6.75
= $25.65
95% of the price = $25.65
100% of the price =
25.6595 x 100 = $27
Selling price of the 1st book before discount = $27
Answer(s): (a) $2.30; (b) $27