Question 10

In the year 2012, the ratio of the number of students in two institutes A and B was 7 : 15 respectively. In 2013, there was an increase of 25% in the number of students in institute A and that in institute B by 26%. What was the respective ratio of students in the institutes A and B in 2013?

Solution

Let total number of students in institutes A and B in 2012 respectively be $$7x$$ and $$15x$$

=> Required ratio after corresponding increases

= $$(7x \times \frac{125}{100}) : (15x \times \frac{126}{100})$$

= $$(7 \times 125) : (15 \times 126)$$

= $$25 : 54$$

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