Julio es un joven muy emprendedor y ha iniciado un negocio de venta de audífonos y cargadores. Este mes, separa la cantidad de dinero, que ha obtenido en sus ventas, en dos partes: gastos y ganancias y se percata que están a razón de 5 es a 3. Del dinero que gasta, ⅗ lo gasta en compra de más mercadería, 10% en servicios de agua, luz e internet, el restante, S/ 150,60 lo gasta en su alimentación. ¿Cuánto ha sido su ganancia en este mes?

Answer:

Julio ha ganado 90,36 soles en este mes.

Step-by-step explanation:

Tras una lectura cuidadosa del enunciado podemos inferir que por cada 5 soles destinados al gasto hay 3 soles destinados a ganancias. En lo respectivo a los gastos, la razon del componente restante, cuyo valor es de 150,60 soles, es:

[tex]r = 1 - \frac{3}{5}-\frac{1}{10}[/tex]

[tex]r = 1 - \frac{6}{10}-\frac{1}{10}[/tex]

[tex]r = \frac{3}{10}[/tex]

En otras palabras, el componente restante corresponde al 30 % del dinero destinado a gastos. Entonces, el dinero total destinado a gastos es:

[tex]x = \frac{150,60\,soles}{0.3}[/tex]

[tex]x = 502\,soles[/tex]

Sabiendo la razón existente, es decir, 5 soles para gastos por 3 soles para ganancias, obtenemos la ganancia obtenida por Julio en este mes por la siguiente regla de tres simple:

[tex]y = 150,60\,soles \times \frac{3\,soles}{5\,soles}[/tex]

[tex]y = 90,36\,soles[/tex]

Julio ha ganado 90,36 soles en este mes.

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