PSLE A stationery shop is having a book sale. The 1st book is at 5% 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's books were priced at $19 and $27. How much more did she pay for the 1st book than the 2nd book?
- Eric paid a total of $38.20 for his two books. He paid $7.40 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% $27 |
100% $19 |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95% |
70% |
? |
(a)
Selling price of the 1st book
= 95% x 27
=
95100 x 27
= $25.65
Selling price of 2nd book
= 70% x 19
=
70100 x 19
= $13.30
Amount that Yoko paid more for the 1st book than the 2nd book
= 25.65 - 13.30
= $12.35
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 30% |
|
Sale price |
95%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $7.40 |
1 u |
$38.20 |
(b)
Sale price of the 1st book = 1 u + 7.40
Sale price of the 2nd book = 1 u
Total amount that Eric paid
= 1 u + 7.40 + 1 u
= 2 u + 7.40
2 u + 7.40 = 38.20
2 u = 38.20 - 7.40
2 u = 30.80
1 u = 30.80 ÷ 2 = 15.40
Sale price of the 1st book
= 1 u + 7.40
= $22.80
95% of the price = $22.80
100% of the price =
22.8095 x 100 = $24
Selling price of the 1st book before discount = $24
Answer(s): (a) $12.35; (b) $24