PSLE
Tammy wanted to buy a sweater. She saw a purple sweater on sale at 10% discount and a red sweater at 20% discount. Both sweaters had the same original price before the discounts. To buy the purple sweater, Tammy would need $5.30 more that what she had. So Tammy bought the red sweater. After that, she had $11 left.

1. What was the original price of the purple sweater?
2. How much money did Tammy have at first?

	Purple sweater	Red sweater
Before	100%	100%
Change	- 10%	- 20%
After	90%	80%

(a)
Difference in the discount between the purple sweater and the red sweater
= 20% - 10%
= 10%

Additional amount that Tammy needed to pay if she would buy the purple sweater
= 5.30 + 11
= $16.30

10% →  16.30
100% → ^16.30₁₀ x 100 = 163

Original price of the purple sweater = $163

(b)
Price of the red sweater after discount in percentage
= 100% - 20%
= 80%

Price of the red sweater after discount
= ⁸⁰₁₀₀ x 163
= $130.40

Amount that Tammy had at first
= 130.40 + 11
= $141.40

Answer(s): (a) $163; (b) $141.40