Number of students in institutes A and B were in the ratio of 7 : 15 respectively in 2012. In 2013, the number of students in institute A increased by 25% and number of students in institutes B increased by 26%, then what was the respective ratio between number of students in institutes A and B?
A. 25 : 56
B. 24 : 55
C. 24 : 53
D. 25 : 53
E. 25 : 54
Answer: Option E
Solution(By Examveda Team)
Ratio of students in 2012 in institutes A and B = 7 : 15 Let number of students in institute A in 2012 = 700 And Number of students in institutes B in 2012 = 1500 25% increase in the number of students in 2013 Now, number of students in Institute A = 700 + 25% of 700 = 875 Number of students in B in 2013 as 26% students increased in B = 1500 + 26% of 1500 = 1890 Current Ratio of the students, $$ = \frac{{875}}{{1890}} = 25:54$$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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