Aptitude Day 102

Ratio and Proportion:

1. The sides of the triangle are in the ratio 1/6: 1/4: 1/5 and its perimeter is 148 cm. The length of the longest side is:

Solution:

                 The given ratio is

                           1/6: 1/4: 1/5 = 10: 15: 12

                 The total ratio is 10+15+12 = 37.

                 The largest side = (15/37)*148

                                           = 60.

2. The ratio of the number of boys and girls in a school is 1:3. If 10% of boys and 30% of girls are scholarship holders, what percentage of students does not get the scholarship?

Solution:

                90% of boys don’t get the scholarship = 90/100(x)

                70% of girls don’t get the scholarship = 70/100(3x)

               By adding these two, we’ll get 3x.

               The total ratio is x+3x = 4x.

          

               The percentage of students who do not get the scholarship = 3x/4x(100)

                                                                                                             = 75%