PSLE
Olivia wanted to buy a blouse. She saw a purple blouse on sale at 20% discount and a yellow blouse at 30% discount. Both blouses had the same original price before the discounts. To buy the purple blouse, Olivia would need $5.10 more that what she had. So Olivia bought the yellow blouse. After that, she had $12 left.

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

	Purple blouse	Yellow blouse
Before	100%	100%
Change	- 20%	- 30%
After	80%	70%

(a)
Difference in the discount between the purple blouse and the yellow blouse
= 30% - 20%
= 10%

Additional amount that Olivia needed to pay if she would buy the purple blouse
= 5.10 + 12
= $17.10

10% →  17.10
100% → ^17.10₁₀ x 100 = 171

Original price of the purple blouse = $171

(b)
Price of the yellow blouse after discount in percentage
= 100% - 30%
= 70%

Price of the yellow blouse after discount
= ⁷⁰₁₀₀ x 171
= $119.70

Amount that Olivia had at first
= 119.70 + 12
= $131.70

Answer(s): (a) $171; (b) $131.70