PSLE A bookstore is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Yoko and Ethan each bought two books at the sale.
- Yoko's books were priced at $14 and $24. How much did she pay for them?
- Ethan paid a total of $59.90 for his two books. He paid $12.30 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% $24 |
100% $14 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 24
=
95100 x 24
= $22.80
Selling price of 2nd book
= 70% x 14
=
70100 x 14
= $9.80
Total amount that Yoko paid
= 22.80 + 9.80
= $32.60
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $12.30 |
1 u |
$59.90 |
(b)
Sale price of the 1st book = 1 u + 12.30
Sale price of the 2nd book = 1 u
Total amount that Ethan paid
= 1 u + 12.30 + 1 u
= 2 u + 12.30
2 u + 12.30 = 59.90
2 u = 59.90 - 12.30
2 u = 47.60
1 u = 47.60 ÷ 2 = 23.80
Sale price of the 2nd book = $23.80
70% of the price = $23.80
100% of the price =
23.8070 x 100 = $34
Selling price of the 2nd book before discount = $34
Answer(s): (a) $32.60; (b) $34