PSLE A shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 35% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Roshel and Sean each bought two books at the sale.
- Roshel's books were priced at $15 and $16. How much did she pay for them?
- Sean paid a total of $33.20 for his two books. He paid $12.40 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $16 |
100% $15 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 16
=
95100 x 16
= $15.20
Selling price of 2nd book
= 65% x 15
=
65100 x 15
= $9.75
Total amount that Roshel paid
= 15.20 + 9.75
= $24.95
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $12.40 |
1 u |
$33.20 |
(b)
Sale price of the 1st book = 1 u + 12.40
Sale price of the 2nd book = 1 u
Total amount that Sean paid
= 1 u + 12.40 + 1 u
= 2 u + 12.40
2 u + 12.40 = 33.20
2 u = 33.20 - 12.40
2 u = 20.80
1 u = 20.80 ÷ 2 = 10.40
Sale price of the 2nd book = $10.40
65% of the price = $10.40
100% of the price =
10.4065 x 100 = $16
Selling price of the 2nd book before discount = $16
Answer(s): (a) $24.95; (b) $16