Aprender
Calcular el resultado después de aumentar o disminuir un valor en un porcentaje.
Percentage change problems involve applying an increase or decrease to a starting value. For an increase of X%, multiply by (1 + X/100). For a decrease of X%, multiply by (1 - X/100). This is more direct than reverse percentage since you're moving forward from the original to the final value.
Increase: Final = Original × (1 + X/100). Decrease: Final = Original × (1 - X/100)
- 100 increased by 20% = 100 × 1.20 = 120
- 80 decreased by 25% = 80 × 0.75 = 60
- 150 increased by 10% = 150 × 1.10 = 165
Cómo reconocerlo
- Given a starting value and a percentage change
- Asked for the new/final value
- Keywords: 'increases by', 'decreases by', 'goes up', 'goes down'
Errores comunes
- Adding/subtracting the percentage instead of using a multiplier
- Confusing 'increased by 20%' with 'increased to 120%'
- Using the wrong direction (1.20 for increase, 0.80 for 20% decrease)
Resolución paso a paso
Una camisa cuesta $60. Se rebaja un 30%. ¿Cuál es el precio de oferta?
- Identifica esto como una disminución porcentual: 30% de descuento
- Calcula el multiplicador: 1 - 30/100 = 0.70
- Multiplica el precio original por el multiplicador: $60 x 0.70
- Calcula: $60 x 0.70 = $42
Respuesta: $42