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Monica Gupta

· started a discussion

· 1 Months ago

did not understand (Question: 112436.3 )

I am not able to understand the solution

Question:

DIRECTIONS:Study the following graph carefully and answer the questions that follow:

The line graph gives the percentage increase in the number of students and the fee per student at a coaching institute, across five years. The increase in values for each year is with respect to that of the previous year.


In 2012, the coaching institute had a 32% share of the total number of students who took coaching in the city. What was its share in 2014, given that the total number of students who took coaching in the city increased by 15% from 2012 to 2014?
Options:
A) 32.3%
B) 32.8%
C) 33.1%
D) 31%
E) None of these
Solution:

The  number of students in the coaching institute went up by 15% from 2012 to 2014.

Assume the total number of students who took coaching in2012 were 100. The number in 2014 would be 115.

The share of the coaching institute in 2014

=  \(\cfrac{32 ×1.11}{1.15}\) × 100 =  \(\cfrac{35.58}{115}\) × 100 = 31% 


Alternative: 

Went up by 15%.

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· 1 Months ago

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