PSLE A store 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.
Kylie and Sean each bought two books at the sale.
- Kylie's books were priced at $29 and $29. How much did she pay for them?
- Sean paid a total of $47.30 for his two books. He paid $13.50 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $29 |
100% $29 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 29
=
95100 x 29
= $27.55
Selling price of 2nd book
= 65% x 29
=
65100 x 29
= $18.85
Total amount that Kylie paid
= 27.55 + 18.85
= $46.40
|
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 + $13.50 |
1 u |
$47.30 |
(b)
Sale price of the 1st book = 1 u + 13.50
Sale price of the 2nd book = 1 u
Total amount that Sean paid
= 1 u + 13.50 + 1 u
= 2 u + 13.50
2 u + 13.50 = 47.30
2 u = 47.30 - 13.50
2 u = 33.80
1 u = 33.80 ÷ 2 = 16.90
Sale price of the 2nd book = $16.90
65% of the price = $16.90
100% of the price =
16.9065 x 100 = $26
Selling price of the 2nd book before discount = $26
Answer(s): (a) $46.40; (b) $26