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? Pick one: A) 25 : 56 B) 24 : 55 C) 24 : 53 D) 25 : 53 E) 25 ratio 54
Solution:   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,   = 875 /1890 = 25 : 54.   Answer: Option 25 ratio 54
<result>E</result>
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?