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The cost of an article is 30% more than its selling price and its marked price is 10% more than its cost price. If the marked price of the article is Rs. 2860, then find the selling price of the article. Options Rs. 2500 Rs. 2000 Rs. 1960 Rs. 5300

Question

The cost of an article is 30% more than its selling price and its marked price is 10% more than its cost price. If the marked price of the article is Rs. 2860, then find the selling price of the article.

Options Rs. 2500

Rs. 2000

Rs. 1960

Rs. 5300

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Solution

Vamos a resolver el problema paso a paso.

  1. Identificar las variables:

    • Precio de costo (C)
    • Precio de venta (S)
    • Precio marcado (M)
  2. Relaciones dadas en el problema:

    • El precio de costo es 30% más que el precio de venta: C=S+0.3S=1.3S C = S + 0.3S = 1.3S
    • El precio marcado es 10% más que el precio de costo: M=C+0.1C=1.1C M = C + 0.1C = 1.1C
    • El precio marcado es Rs. 2860: M=2860 M = 2860
  3. Sustituir el valor del precio marcado en la ecuación: 2860=1.1C 2860 = 1.1C

  4. Resolver para el precio de costo (C): C=28601.1 C = \frac{2860}{1.1} C=2600 C = 2600

  5. Usar la relación entre el precio de costo y el precio de venta: C=1.3S C = 1.3S 2600=1.3S 2600 = 1.3S

  6. Resolver para el precio de venta (S): S=26001.3 S = \frac{2600}{1.3} S=2000 S = 2000

Por lo tanto, el precio de venta del artículo es Rs. 2000.

La respuesta correcta es: Rs. 2000

This problem has been solved

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