PSLE A store is having a book sale.
The 1st book is at 10% 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.
Yoko and Mark each bought two books at the sale.
- Yoko's books were priced at $29 and $38. How much less did she pay for the 2nd book than the 1st book?
- Mark paid a total of $57.10 for his two books. He paid $9.50 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% $38 |
100% $29 |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90% |
70% |
? |
(a)
Selling price of the 1st book
= 90% x 38
=
90100 x 38
= $34.20
Selling price of 2nd book
= 70% x 29
=
70100 x 29
= $20.30
Amount that Yoko paid less for the 2nd book than the 1st book
= 34.20 - 20.30
= $13.90
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 30% |
|
Sale price |
90%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $9.50 |
1 u |
$57.10 |
(b)
Sale price of the 1st book = 1 u + 9.50
Sale price of the 2nd book = 1 u
Total amount that Mark paid
= 1 u + 9.50 + 1 u
= 2 u + 9.50
2 u + 9.50 = 57.10
2 u = 57.10 - 9.50
2 u = 47.60
1 u = 47.60 ÷ 2 = 23.80
Sale price of the 1st book
= 1 u + 9.50
= $33.30
90% of the price = $33.30
100% of the price =
33.3090 x 100 = $37
Selling price of the 1st book before discount = $37
Answer(s): (a) $13.90; (b) $37