PSLE A stationery kiosk is having a book sale.
The 1st book is at 20% 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.
Vanessa and Neave each bought two books at the sale.
- Vanessa's books were priced at $35 and $39. How much less did she pay for the 2nd book than the 1st book?
- Neave paid a total of $28.20 for his two books. He paid $8.60 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% $39 |
100% $35 |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80% |
70% |
? |
(a)
Selling price of the 1st book
= 80% x 39
=
80100 x 39
= $31.20
Selling price of 2nd book
= 70% x 35
=
70100 x 35
= $24.50
Amount that Vanessa paid less for the 2nd book than the 1st book
= 31.20 - 24.50
= $6.70
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 20% |
- 30% |
|
Sale price |
80%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $8.60 |
1 u |
$28.20 |
(b)
Sale price of the 1st book = 1 u + 8.60
Sale price of the 2nd book = 1 u
Total amount that Neave paid
= 1 u + 8.60 + 1 u
= 2 u + 8.60
2 u + 8.60 = 28.20
2 u = 28.20 - 8.60
2 u = 19.60
1 u = 19.60 ÷ 2 = 9.80
Sale price of the 1st book
= 1 u + 8.60
= $18.40
80% of the price = $18.40
100% of the price =
18.4080 x 100 = $23
Selling price of the 1st book before discount = $23
Answer(s): (a) $6.70; (b) $23