Pegasus paid a 12% commission to staff for all sales over £260,000 in April. This was increased to a 16% commission for all sales over £220,000 from May onwards. What was the difference in commissions paid to staff in April and May?
Question
Pegasus paid a 12% commission to staff for all sales over £260,000 in April. This was increased to a 16% commission for all sales over £220,000 from May onwards. What was the difference in commissions paid to staff in April and May?
Solution
Para responder a esta pregunta, sigamos los pasos detalladamente:
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Identificar las ventas en abril y mayo:
- En abril, las ventas sobre las cuales se paga comisión son las que exceden £260,000.
- En mayo, las ventas sobre las cuales se paga comisión son las que exceden £220,000.
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Calcular la comisión en abril:
- La comisión en abril es del 12% sobre las ventas que exceden £260,000.
- Supongamos que las ventas totales en abril fueron (una cantidad desconocida).
- La cantidad sobre la cual se paga comisión en abril es .
- La comisión en abril sería .
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Calcular la comisión en mayo:
- La comisión en mayo es del 16% sobre las ventas que exceden £220,000.
- Supongamos que las ventas totales en mayo fueron (otra cantidad desconocida).
- La cantidad sobre la cual se paga comisión en mayo es .
- La comisión en mayo sería .
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Determinar la diferencia en comisiones:
- La diferencia en comisiones pagadas entre abril y mayo sería la comisión de mayo menos la comisión de abril.
- Esto se expresa como: .
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Simplificar la expresión:
- Expandimos y simplificamos la expresión:
- Calculamos los términos constantes:
- Sustituimos estos valores en la expresión:
- Combinamos los términos constantes:
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Conclusión:
- La diferencia en comisiones pagadas a los empleados entre abril y mayo es .
- Para obtener un valor numérico específico, necesitaríamos conocer las ventas totales en abril y en mayo.
Sin los valores específicos de y , esta es la forma más simplificada de expresar la diferencia en comisiones.
Similar Questions
Test 1 - Question 4Pegasus paid a 12% commission to staff for all sales over £260,000 in April. This was increased to a 16% commission for all sales over £220,000 from May onwards. What was the difference in commissions paid to staff in April and May?£2,800£3,900£6,400£7,600
Test 1 - Question 2Conquest and Mercury have predicted a 15% increase in sales from August to September, and Pegasus have set a target of a 35% increase in sales from August to September. If these predictions and targets are correct, what will be the combined sales for September for these three companies?£76,525£86,800£765,250£868,000
What type of commission is when a sales is paid a percentage of sales only?Responses
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