PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 15% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Vanessa and Bryan each bought two books at the sale.
- Vanessa's books were priced at $16 and $23. How much less did she pay for the 2nd book than the 1st book?
- Bryan paid a total of $50.90 for his two books. He paid $11.80 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% $23 |
100% $16 |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95% |
85% |
? |
(a)
Selling price of the 1st book
= 95% x 23
=
95100 x 23
= $21.85
Selling price of 2nd book
= 85% x 16
=
85100 x 16
= $13.60
Amount that Vanessa paid less for the 2nd book than the 1st book
= 21.85 - 13.60
= $8.25
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 15% |
|
Sale price |
95%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $11.80 |
1 u |
$50.90 |
(b)
Sale price of the 1st book = 1 u + 11.80
Sale price of the 2nd book = 1 u
Total amount that Bryan paid
= 1 u + 11.80 + 1 u
= 2 u + 11.80
2 u + 11.80 = 50.90
2 u = 50.90 - 11.80
2 u = 39.10
1 u = 39.10 ÷ 2 = 19.55
Sale price of the 1st book
= 1 u + 11.80
= $31.35
95% of the price = $31.35
100% of the price =
31.3595 x 100 = $33
Selling price of the 1st book before discount = $33
Answer(s): (a) $8.25; (b) $33