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Mathematics

If the cost of 9 pens is ₹ 369, the cost of one dozen pens of the same make will be:

  1. ₹ 42

  2. ₹ 429

  3. ₹ 942

  4. ₹ 492

Direct & Inverse Variations

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Answer

Let the cost of one dozen pens be x.

PensCost
9369
12x

Since it is a case of direct variation.

9369=12xx=369×129x=4,4289x=492\therefore \dfrac{9}{369} = \dfrac{12}{x}\\[1em] \Rightarrow x = \dfrac{369 \times 12}{9}\\[1em] \Rightarrow x = \dfrac{4,428}{9}\\[1em] \Rightarrow x = 492

Hence, option 4 is the correct option.

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