PSLE A stationery kiosk 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.
Lynn and Wesley each bought two books at the sale.
- Lynn's books were priced at $27 and $33. How much less did she pay for the 2nd book than the 1st book?
- Wesley paid a total of $34.50 for his two books. He paid $11.10 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% $33 |
100% $27 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 33
=
95100 x 33
= $31.35
Selling price of 2nd book
= 65% x 27
=
65100 x 27
= $17.55
Amount that Lynn paid less for the 2nd book than the 1st book
= 31.35 - 17.55
= $13.80
|
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 + $11.10 |
1 u |
$34.50 |
(b)
Sale price of the 1st book = 1 u + 11.10
Sale price of the 2nd book = 1 u
Total amount that Wesley paid
= 1 u + 11.10 + 1 u
= 2 u + 11.10
2 u + 11.10 = 34.50
2 u = 34.50 - 11.10
2 u = 23.40
1 u = 23.40 ÷ 2 = 11.70
Sale price of the 1st book
= 1 u + 11.10
= $22.80
95% of the price = $22.80
100% of the price =
22.8095 x 100 = $24
Selling price of the 1st book before discount = $24
Answer(s): (a) $13.80; (b) $24