PSLE A stationery shop 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.
Jen and Japheth each bought two books at the sale.
- Jen's books were priced at $16 and $19. How much did she pay for them?
- Japheth paid a total of $37.95 for his two books. He paid $10.65 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $19 |
100% $16 |
|
Discount |
- 10% |
- 35% |
|
Sale price |
90% |
65% |
? |
(a)
Selling price of the 1st book
= 90% x 19
=
90100 x 19
= $17.10
Selling price of 2nd book
= 65% x 16
=
65100 x 16
= $10.40
Total amount that Jen paid
= 17.10 + 10.40
= $27.50
|
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 + $10.65 |
1 u |
$37.95 |
(b)
Sale price of the 1st book = 1 u + 10.65
Sale price of the 2nd book = 1 u
Total amount that Japheth paid
= 1 u + 10.65 + 1 u
= 2 u + 10.65
2 u + 10.65 = 37.95
2 u = 37.95 - 10.65
2 u = 27.30
1 u = 27.30 ÷ 2 = 13.65
Sale price of the 2nd book = $13.65
65% of the price = $13.65
100% of the price =
13.6565 x 100 = $21
Selling price of the 2nd book before discount = $21
Answer(s): (a) $27.50; (b) $21