The students of three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is = ?
A. 95
B. 76
C. 100
D. 114
Answer: Option B
Solution(By Examveda Team)
Let class A, B and C then Number of student ratio in A : B : C = 4 : 6 : 9 = 4x : 6x : 9xAnd Now 12 Student join in all Class and their ratio become
A : B : C = 7 : 9 : 12 = 7x : 9x : 12x
∴ in A → 7x - 4x = 12 , In B → 9x - 6x = 12 and In C →12x - 9x = 12
i.e. x = 4
Total number of Student before new student are
= 4 × 4 + 6 × 4 + 9 × 4
= 76
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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