PSLE A book shop 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.
Vanessa and Andy each bought two books at the sale.
- Vanessa's books were priced at $26 and $29. How much less did she pay for the 2nd book than the 1st book?
- Andy paid a total of $42.50 for his two books. He paid $12.60 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% $29 |
100% $26 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 29
=
95100 x 29
= $27.55
Selling price of 2nd book
= 65% x 26
=
65100 x 26
= $16.90
Amount that Vanessa paid less for the 2nd book than the 1st book
= 27.55 - 16.90
= $10.65
|
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 + $12.60 |
1 u |
$42.50 |
(b)
Sale price of the 1st book = 1 u + 12.60
Sale price of the 2nd book = 1 u
Total amount that Andy paid
= 1 u + 12.60 + 1 u
= 2 u + 12.60
2 u + 12.60 = 42.50
2 u = 42.50 - 12.60
2 u = 29.90
1 u = 29.90 ÷ 2 = 14.95
Sale price of the 1st book
= 1 u + 12.60
= $27.55
95% of the price = $27.55
100% of the price =
27.5595 x 100 = $29
Selling price of the 1st book before discount = $29
Answer(s): (a) $10.65; (b) $29