PSLE A book shop is having a book sale.
The 1st book is at 10% 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.
Jade and Elijah each bought two books at the sale.
- Jade's books were priced at $4 and $19. How much did she pay for them?
- Elijah paid a total of $38.65 for his two books. He paid $6.35 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $19 |
100% $4 |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90% |
85% |
? |
(a)
Selling price of the 1st book
= 90% x 19
=
90100 x 19
= $17.10
Selling price of 2nd book
= 85% x 4
=
85100 x 4
= $3.40
Total amount that Jade paid
= 17.10 + 3.40
= $20.50
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 10% |
- 15% |
|
Sale price |
90%
|
85%
|
|
Compare 1st book and 2nd book |
1 u + $6.35 |
1 u |
$38.65 |
(b)
Sale price of the 1st book = 1 u + 6.35
Sale price of the 2nd book = 1 u
Total amount that Elijah paid
= 1 u + 6.35 + 1 u
= 2 u + 6.35
2 u + 6.35 = 38.65
2 u = 38.65 - 6.35
2 u = 32.30
1 u = 32.30 ÷ 2 = 16.15
Sale price of the 2nd book = $16.15
85% of the price = $16.15
100% of the price =
16.1585 x 100 = $19
Selling price of the 2nd book before discount = $19
Answer(s): (a) $20.50; (b) $19