PSLE A stationery shop is having a book sale.
The 1st book is at 20% 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.
Diana and Albert each bought two books at the sale.
- Diana's books were priced at $5 and $16. How much more did she pay for the 1st book than the 2nd book?
- Albert paid a total of $42.35 for his two books. He paid $7.25 less for the 2nd book than for the 1st book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $16 |
100% $5 |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80% |
65% |
? |
(a)
Selling price of the 1st book
= 80% x 16
=
80100 x 16
= $12.80
Selling price of 2nd book
= 65% x 5
=
65100 x 5
= $3.25
Amount that Diana paid more for the 1st book than the 2nd book
= 12.80 - 3.25
= $9.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 35% |
|
Sale price |
80%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $7.25 |
1 u |
$42.35 |
(b)
Sale price of the 1st book = 1 u + 7.25
Sale price of the 2nd book = 1 u
Total amount that Albert paid
= 1 u + 7.25 + 1 u
= 2 u + 7.25
2 u + 7.25 = 42.35
2 u = 42.35 - 7.25
2 u = 35.10
1 u = 35.10 ÷ 2 = 17.55
Sale price of the 1st book
= 1 u + 7.25
= $24.80
80% of the price = $24.80
100% of the price =
24.8080 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $9.55; (b) $31