PSLE A shop is having a book sale.
The 1st book is at 25% 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.
Joelle and Riordan each bought two books at the sale.
- Joelle's books were priced at $16 and $19. How much less did she pay for the 2nd book than the 1st book?
- Riordan paid a total of $33.70 for his two books. He paid $3.80 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $19 |
100% $16 |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75% |
65% |
? |
(a)
Selling price of the 1st book
= 75% x 19
=
75100 x 19
= $14.25
Selling price of 2nd book
= 65% x 16
=
65100 x 16
= $10.40
Amount that Joelle paid less for the 2nd book than the 1st book
= 14.25 - 10.40
= $3.85
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 35% |
|
Sale price |
75%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $3.80 |
1 u |
$33.70 |
(b)
Sale price of the 1st book = 1 u + 3.80
Sale price of the 2nd book = 1 u
Total amount that Riordan paid
= 1 u + 3.80 + 1 u
= 2 u + 3.80
2 u + 3.80 = 33.70
2 u = 33.70 - 3.80
2 u = 29.90
1 u = 29.90 ÷ 2 = 14.95
Sale price of the 1st book
= 1 u + 3.80
= $18.75
75% of the price = $18.75
100% of the price =
18.7575 x 100 = $25
Selling price of the 1st book before discount = $25
Answer(s): (a) $3.85; (b) $25