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NIMCET 2020

In a competitive examination in Maharashtra state 9% candidates got selected from the total appeared candidates. Tripura state had an equal number of candidates appeared and 12% candidates got selected with 102 more candidates got selected than Maharashtra state. What was the number of candidates appeared from each state?

Solution

Let the number of candidates appeared from each state be $x$. 
Maharashtra selected candidates $= 9\%$ of $x = \dfrac{9}{100}x$ 

 Tripura selected candidates $= 12\%$ of $x = \dfrac{12}{100}x$ 

 Given that Tripura has $102$ more selected candidates than Maharashtra: \[ \dfrac{12}{100}x - \dfrac{9}{100}x = 102 \] \[ \dfrac{3}{100}x = 102 \] \[ x = 102 \times \dfrac{100}{3} = 3400 \] 
Thus, the number of candidates appeared from each state is 3400.
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