A. Mandy buy a sweater that is on sale for 20% less than the original price, and then she uses a coupon worth an additional 15% off of the sale price. What percentage of the original price has she saved ?

B. If the price of a stock increases by 40% and then by an additional 25% , by what percentage has the price increased from its original value ?

.85 * .8 = .68 which is 32 % off

1.4 * 1.25 = 1.75

75%

0.85(0.8x)=0.68x => - 32%

1.25(1.4x)=1.75x = > +75%

A. To find out what percentage of the original price Mandy has saved, we need to calculate the final price after applying both discounts.

1. Let's assume the original price of the sweater is $100.
2. The sale price is 20% less than the original price, so the sweater is available for 80% of the original price. This can be calculated by multiplying the original price by (1 - 20/100) or (1 - 0.20), which gives us $80.
3. The coupon then applies an additional 15% off the sale price, which means Mandy pays 85% of the sale price. This can be calculated by multiplying the sale price by (1 - 15/100) or (1 - 0.15), which gives us $68.

Now, to find out what percentage of the original price Mandy has saved, we can use the formula:
Percentage saved = (Original price - Final price) / Original price * 100

Percentage saved = ($100 - $68) / $100 * 100
Percentage saved = $32 / $100 * 100
Percentage saved = 32%

Therefore, Mandy has saved 32% of the original price.

B. To determine the percentage increase in stock price from its original value, we need to calculate the final price after both increases.

1. Assume the original price of the stock is $100.
2. The first increase of 40% means the stock price becomes 140% of its original price. This can be calculated by multiplying the original price by (1 + 40/100) or (1 + 0.40), which gives us $140.
3. The second increase of 25% means the stock price becomes 125% of the price after the first increase. This can be calculated by multiplying the price after the first increase by (1 + 25/100) or (1 + 0.25), which gives us $175.

To find out the percentage increase from the original value, we can use the formula:
Percentage increase = (Final price - Original price) / Original price * 100

Percentage increase = ($175 - $100) / $100 * 100
Percentage increase = $75 / $100 * 100
Percentage increase = 75%

Therefore, the price of the stock has increased by 75% from its original value.