Question

A salesperson earns a base salary of $600 per month plus a commission of 10% of the sales she makes. You discover that on average, it takes you an hour and a half to make $100 worth of sales. How many hours will you have to work on average each month for your income to be $2000?

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Answer to a math question A salesperson earns a base salary of $600 per month plus a commission of 10% of the sales she makes. You discover that on average, it takes you an hour and a half to make $100 worth of sales. How many hours will you have to work on average each month for your income to be $2000?

$Expert avatar$

Nash

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Solución: Sea x el número de horas necesarias para trabajar. La tasa de ventas es de $100 por 1,5 horas y la comisión es igual al 10% de las ventas totales. Por lo tanto, la comisión total por x número de horas es igual al 10% de la tasa de ventas multiplicada por x, o \frac{\$100}{1.5h}\cdot10%\cdot x que, simplificado, es igual a \frac{20}{3}x El salario mensual objetivo es igual al salario base más la comisión mensual total, que es igual a 600+\frac{20}{3}x=2000 Resolver x, \frac{20}{3 }x=1400

x=1400\times\frac{3}{20}

x=210h Por lo tanto, el vendedor necesita trabajar un promedio de 210 horas cada mes para que los ingresos sean de $2000. Respuesta: 210 horas

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