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%
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