PSLE
Diana wanted to buy a shirt. She saw a silver shirt on sale at 10% discount and a gold shirt at 20% discount. Both shirts had the same original price before the discounts. To buy the silver shirt, Diana would need $7.10 more that what she had. So Diana bought the gold shirt. After that, she had $5 left.

1. What was the original price of the silver shirt?
2. How much money did Diana have at first?

	Silver shirt	Gold shirt
Before	100%	100%
Change	- 10%	- 20%
After	90%	80%

(a)
Difference in the discount between the silver shirt and the gold shirt
= 20% - 10%
= 10%

Additional amount that Diana needed to pay if she would buy the silver shirt
= 7.10 + 5
= $12.10

10% →  12.10
100% → ^12.10₁₀ x 100 = 121

Original price of the silver shirt = $121

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

Price of the gold shirt after discount
= ⁸⁰₁₀₀ x 121
= $96.80

Amount that Diana had at first
= 96.80 + 5
= $101.80

Answer(s): (a) $121; (b) $101.80