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The students of class VII of a school denoted $Rs . 2401$ in all, for Prime Minister's National Relief Fund. Each student denoted as many rupees as the number of students in the class. Find the number of students in the class.

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47

51

49

53

answer is C.

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Detailed Solution

Given that, the total amount donated is Rs. 2401.
Let

x

be the number of students in the class.
Therefore, total money denoted by students

= Rs . (x \times x) = Rs . x^{2}

∴ x^{2} = 2401

\Rightarrow x = \sqrt{2401}

\Rightarrow \sqrt{2401} = \sqrt{7 \times 7 \times 7 \times 7}

\Rightarrow \sqrt{2401} = 7 \times 7 = 49

.
Thus, each student donated Rs.49.
Therefore, option (3) is correct.

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