PSLE A book shop is having a book sale.
The 1st book is at 10% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Emily and Vaidev each bought two books at the sale.
- Emily's books were priced at $32 and $35. How much less did she pay for the 2nd book than the 1st book?
- Vaidev paid a total of $48.90 for his two books. He paid $14.10 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% $35 |
100% $32 |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90% |
60% |
? |
(a)
Selling price of the 1st book
= 90% x 35
=
90100 x 35
= $31.50
Selling price of 2nd book
= 60% x 32
=
60100 x 32
= $19.20
Amount that Emily paid less for the 2nd book than the 1st book
= 31.50 - 19.20
= $12.30
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 40% |
|
Sale price |
90%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $14.10 |
1 u |
$48.90 |
(b)
Sale price of the 1st book = 1 u + 14.10
Sale price of the 2nd book = 1 u
Total amount that Vaidev paid
= 1 u + 14.10 + 1 u
= 2 u + 14.10
2 u + 14.10 = 48.90
2 u = 48.90 - 14.10
2 u = 34.80
1 u = 34.80 ÷ 2 = 17.40
Sale price of the 1st book
= 1 u + 14.10
= $31.50
90% of the price = $31.50
100% of the price =
31.5090 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $12.30; (b) $35