PSLE A shop is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 25% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Yen and Albert each bought two books at the sale.
- Yen's books were priced at $15 and $24. How much did she pay for them?
- Albert paid a total of $56.85 for his two books. He paid $13.35 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% $15 |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90% |
75% |
? |
(a)
Selling price of the 1st book
= 90% x 24
=
90100 x 24
= $21.60
Selling price of 2nd book
= 75% x 15
=
75100 x 15
= $11.25
Total amount that Yen paid
= 21.60 + 11.25
= $32.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 25% |
|
Sale price |
90%
|
75%
|
|
Compare 1st book and 2nd book |
1 u + $13.35 |
1 u |
$56.85 |
(b)
Sale price of the 1st book = 1 u + 13.35
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 13.35 + 1 u
= 2 u + 13.35
2 u + 13.35 = 56.85
2 u = 56.85 - 13.35
2 u = 43.50
1 u = 43.50 ÷ 2 = 21.75
Sale price of the 2nd book = $21.75
75% of the price = $21.75
100% of the price =
21.7575 x 100 = $29
Selling price of the 2nd book before discount = $29
Answer(s): (a) $32.85; (b) $29