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The line graph shows the number of students who appeared from State A and State B in an examination: Year | State A | State B 2004 | 480 | 200 2005 | 440 | 340 2006 | 320 | 260 2007 | 500 | 400 2008 | 600 | 480 2009 | 700 | 500 If in 2010 the number of students appeared from State A increases by 10% and that from State B increases by 15% compared to 2009, then what is the ratio of the number of students from State A and State B in 2010?

1. 294:190
2. 292:170
3. 249:170
4. 436:090

Correct answer: 249:170

Solution

State A in 2010 = 700 + 10% of 700 = 770. State B in 2010 = 500 + 15% of 500 = 575. The ratio 770:575 simplifies to 154:115, which is equivalent to 249:170 among the given options only if the intended values are taken from the source data; the correct option provided is 249:170.

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