PSLE A shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Jane and Sean each bought two books at the sale.
- Jane's books were priced at $28 and $33. How much less did she pay for the 2nd book than the 1st book?
- Sean paid a total of $59.60 for his two books. He paid $6.90 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% $33 |
100% $28 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 33
=
95100 x 33
= $31.35
Selling price of 2nd book
= 85% x 28
=
85100 x 28
= $23.80
Amount that Jane paid less for the 2nd book than the 1st book
= 31.35 - 23.80
= $7.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $6.90 |
1 u |
$59.60 |
(b)
Sale price of the 1st book = 1 u + 6.90
Sale price of the 2nd book = 1 u
Total amount that Sean paid
= 1 u + 6.90 + 1 u
= 2 u + 6.90
2 u + 6.90 = 59.60
2 u = 59.60 - 6.90
2 u = 52.70
1 u = 52.70 ÷ 2 = 26.35
Sale price of the 1st book
= 1 u + 6.90
= $33.25
95% of the price = $33.25
100% of the price =
33.2595 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $7.55; (b) $35