Question 35

In a group of 150 students, find the number of girls.
I. Each girl was given 50 paise, while each boy was given 25 paise to purchase goods totaling Rs. 49.
II. Girls and boys were given 30 paise each to buy goods totalling Rs. 45.

Solution

Let the number of girls be g and boys be b. Hence, b+g=150

Statement 1: 50g+25b=4900 => 2g+b=196. Solving the two equations, g=46. Hence, answer can be obtained using statement 1 alone.

Statement 2: 30b+30g=4500 => b+g=150. As both the equations are equal, we cannot find a unique solution.

Thus, the question can be answered using one of the statements alone and not the other.

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