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Question No. 21DIRECTIONS for question 21: Select the correct alternative from the given choices.The cost of an eraser is one-twelfth of that of a pen and two-thirds of that of a pencil. If the cost of two pens is ₹33 more than the cost of five pencils, then find the cost of one pen, two pencils and three erasers.₹30₹36₹48₹33

Question

Question No. 21DIRECTIONS for question 21: Select the correct alternative from the given choices.The cost of an eraser is one-twelfth of that of a pen and two-thirds of that of a pencil. If the cost of two pens is ₹33 more than the cost of five pencils, then find the cost of one pen, two pencils and three erasers.₹30₹36₹48₹33

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Solution

Let's solve this step by step:

  1. Let's assume the cost of the eraser as x. According to the problem, the cost of the pen is 12x and the cost of the pencil is 3/2x.

  2. The problem states that the cost of two pens is ₹33 more than the cost of five pencils. So, we can write this as: 212x = 5(3/2)x + 33.

  3. Simplifying this equation, we get: 24x = 15/2x + 33.

  4. Solving for x, we get: x = ₹2.

  5. Now, we can find the cost of one pen (12x = ₹24), two pencils (23/2x = ₹6), and three erasers (3x = ₹6).

  6. Adding these up, we get: ₹24 + ₹6 + ₹6 = ₹36.

So, the cost of one pen, two pencils, and three erasers is ₹36.

This problem has been solved

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