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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?

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Solution

Para responder a esta pregunta, sigamos los pasos detalladamente:

  1. 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.
  2. 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 V V (una cantidad desconocida).
    • La cantidad sobre la cual se paga comisión en abril es V260,000 V - 260,000 .
    • La comisión en abril sería 0.12×(V260,000) 0.12 \times (V - 260,000) .
  3. 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 W W (otra cantidad desconocida).
    • La cantidad sobre la cual se paga comisión en mayo es W220,000 W - 220,000 .
    • La comisión en mayo sería 0.16×(W220,000) 0.16 \times (W - 220,000) .
  4. 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: 0.16×(W220,000)0.12×(V260,000) 0.16 \times (W - 220,000) - 0.12 \times (V - 260,000) .
  5. Simplificar la expresión:

    • Expandimos y simplificamos la expresión: 0.16W0.16×220,0000.12V+0.12×260,000 0.16W - 0.16 \times 220,000 - 0.12V + 0.12 \times 260,000
    • Calculamos los términos constantes: 0.16×220,000=35,200 0.16 \times 220,000 = 35,200 0.12×260,000=31,200 0.12 \times 260,000 = 31,200
    • Sustituimos estos valores en la expresión: 0.16W35,2000.12V+31,200 0.16W - 35,200 - 0.12V + 31,200
    • Combinamos los términos constantes: 0.16W0.12V4,000 0.16W - 0.12V - 4,000
  6. Conclusión:

    • La diferencia en comisiones pagadas a los empleados entre abril y mayo es 0.16W0.12V4,000 0.16W - 0.12V - 4,000 .
    • Para obtener un valor numérico específico, necesitaríamos conocer las ventas totales V V en abril y W W en mayo.

Sin los valores específicos de V V y W W , esta es la forma más simplificada de expresar la diferencia en comisiones.

This problem has been solved

Similar Questions

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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

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