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.
Cindy and Zeph each bought two books at the sale.
- Cindy's books were priced at $19 and $29. How much did she pay for them?
- Zeph paid a total of $37.35 for his two books. He paid $13.95 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% $29 |
100% $19 |
|
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 19
=
65100 x 19
= $12.35
Total amount that Cindy paid
= 27.55 + 12.35
= $39.90
|
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 + $13.95 |
1 u |
$37.35 |
(b)
Sale price of the 1st book = 1 u + 13.95
Sale price of the 2nd book = 1 u
Total amount that Zeph paid
= 1 u + 13.95 + 1 u
= 2 u + 13.95
2 u + 13.95 = 37.35
2 u = 37.35 - 13.95
2 u = 23.40
1 u = 23.40 ÷ 2 = 11.70
Sale price of the 2nd book = $11.70
65% of the price = $11.70
100% of the price =
11.7065 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $39.90; (b) $18