NIMCET 2014 Question Paper with solutions

Question : 77 of 120

Marks: +1, -0

The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 : 5 : 7. The total number of students before the increase were

10
90
100
None of these

Validate

Solution:

Let the students in three classes be 2x, 3x and 5x.
On increasing the students in each classes by 20, the students will be 2x + 20, 3x + 20 and 5x + 20.
Now, according to the question,
2x + 20 : 3x + 20 : 5x + 20 :: 4 : 5 : 7

{2x+20}/{3x+20}

4/5

10x + 100 = 12x + 80
x = 10
Total number of students before increase were = 2x + 3x + 5x = 10x = 10(10)= 100

Go to Question:

Prev Question

Next Question