PSLE A stationery 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.
- Xylia's books were priced at $8 and $23. How much less did she pay for the 2nd book than the 1st book?
- Gabriel paid a total of $43.75 for his two books. He paid $15.15 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $23 |
100% $8 |
|
Discount |
- 5% |
- 35% |
|
Sale price |
95% |
65% |
? |
(a)
Selling price of the 1st book
= 95% x 23
=
95100 x 23
= $21.85
Selling price of 2nd book
= 65% x 8
=
65100 x 8
= $5.20
Amount that Xylia paid less for the 2nd book than the 1st book
= 21.85 - 5.20
= $16.65
|
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 + $15.15 |
1 u |
$43.75 |
(b)
Sale price of the 1st book = 1 u + 15.15
Sale price of the 2nd book = 1 u
Total amount that Gabriel paid
= 1 u + 15.15 + 1 u
= 2 u + 15.15
2 u + 15.15 = 43.75
2 u = 43.75 - 15.15
2 u = 28.60
1 u = 28.60 ÷ 2 = 14.30
Sale price of the 1st book
= 1 u + 15.15
= $29.45
95% of the price = $29.45
100% of the price =
29.4595 x 100 = $31
Selling price of the 1st book before discount = $31
Answer(s): (a) $16.65; (b) $31