PSLE A stationery shop is having a book sale.
The 1st book is at 25% 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.
Gem and Charlie each bought two books at the sale.
- Gem's books were priced at $19 and $27. How much did she pay for them?
- Charlie paid a total of $31.35 for his two books. He paid $6.15 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% $27 |
100% $19 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 27
=
75100 x 27
= $20.25
Selling price of 2nd book
= 70% x 19
=
70100 x 19
= $13.30
Total amount that Gem paid
= 20.25 + 13.30
= $33.55
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $6.15 |
1 u |
$31.35 |
(b)
Sale price of the 1st book = 1 u + 6.15
Sale price of the 2nd book = 1 u
Total amount that Charlie paid
= 1 u + 6.15 + 1 u
= 2 u + 6.15
2 u + 6.15 = 31.35
2 u = 31.35 - 6.15
2 u = 25.20
1 u = 25.20 ÷ 2 = 12.60
Sale price of the 2nd book = $12.60
70% of the price = $12.60
100% of the price =
12.6070 x 100 = $18
Selling price of the 2nd book before discount = $18
Answer(s): (a) $33.55; (b) $18