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In a class each of the students contributed as many paise as there are number of students. If the total collection was Rs. 64, what is the number of students in the class?

Question

In a class each of the students contributed as many paise as there are number of students. If the total collection was Rs. 64, what is the number of students in the class?

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Solution

Let's solve the problem step by step:

  1. Let's assume the number of students in the class is 'x'.

  2. According to the problem, each student contributed as many paise as there are number of students. So, each student contributed 'x' paise.

  3. The total collection is given as Rs. 64, which is equal to 64 * 100 paise.

  4. Since each student contributed 'x' paise, the total collection can be expressed as 'x' * 'x' paise.

  5. Equating the two expressions for the total collection, we have: 'x' * 'x' = 64 * 100

  6. Simplifying the equation, we get: x^2 = 6400

  7. Taking the square root of both sides, we have: x = √6400

  8. Evaluating the square root, we get: x = 80

  9. Therefore, the number of students in the class is 80.

This problem has been solved

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