Question

Зимние ботинки стоят 2000 р. , а осенние 1500р. а)На сколько процентов зимние ботинки дороже осенних? б) На сколько процентов осенние ботинки дешевле зимних?

Answer 1

2000-100
1500-х
х=(1500*100)/2000=75
100-75=25

Answer 2

2000-100
1500-×
х=(1500×100):2000=75
100-75=25

Answer 3

Calculating Price Differences for Winter and Autumn Boots

To calculate the percentage difference between the prices of winter and autumn boots, we can use the following formulas:

a) Percentage Increase: \[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100 \]

b) Percentage Decrease: \[ \text{Percentage Decrease} = \left( \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \right) \times 100 \]

Using the given prices: - Winter boots cost 2000 р. - Autumn boots cost 1500 р.

Calculating the Percentage Increase for Winter Boots

The percentage increase for winter boots compared to autumn boots can be calculated using the formula: \[ \text{Percentage Increase} = \left( \frac{2000 - 1500}{1500} \right) \times 100 \] \[ \text{Percentage Increase} = \left( \frac{500}{1500} \right) \times 100 \] \[ \text{Percentage Increase} = \frac{1}{3} \times 100 \] \[ \text{Percentage Increase} = 33.33\% \] Winter boots are approximately 33.33% more expensive than autumn boots.

Calculating the Percentage Decrease for Autumn Boots

The percentage decrease for autumn boots compared to winter boots can be calculated using the formula: \[ \text{Percentage Decrease} = \left( \frac{1500 - 2000}{2000} \right) \times 100 \] \[ \text{Percentage Decrease} = \left( \frac{-500}{2000} \right) \times 100 \] \[ \text{Percentage Decrease} = -\frac{1}{4} \times 100 \] \[ \text{Percentage Decrease} = -25\% \] Autumn boots are approximately 25% cheaper than winter boots