PSLE A stationery kiosk is having a book sale.
The 1st book is at 10% 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.
Kylie and Jeremy each bought two books at the sale.
- Kylie's books were priced at $29 and $35. How much less did she pay for the 2nd book than the 1st book?
- Jeremy paid a total of $32.15 for his two books. He paid $7.45 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% $35 |
100% $29 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 35
=
90100 x 35
= $31.50
Selling price of 2nd book
= 65% x 29
=
65100 x 29
= $18.85
Amount that Kylie paid less for the 2nd book than the 1st book
= 31.50 - 18.85
= $12.65
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90%
|
65%
|
|
Compare 1st book and 2nd book |
1 u + $7.45 |
1 u |
$32.15 |
(b)
Sale price of the 1st book = 1 u + 7.45
Sale price of the 2nd book = 1 u
Total amount that Jeremy paid
= 1 u + 7.45 + 1 u
= 2 u + 7.45
2 u + 7.45 = 32.15
2 u = 32.15 - 7.45
2 u = 24.70
1 u = 24.70 ÷ 2 = 12.35
Sale price of the 1st book
= 1 u + 7.45
= $19.80
90% of the price = $19.80
100% of the price =
19.8090 x 100 = $22
Selling price of the 1st book before discount = $22
Answer(s): (a) $12.65; (b) $22