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?
Step-by-step Solution:
Let 'x' be the total number of candidates who appeared from each state. In Maharashtra, 9% of candidates were selected, so the number of selected candidates is 0.09x. In Tripura, 12% of candidates were selected, so the number of selected candidates is 0.12x.
The problem states that 102 more candidates were selected in Tripura than in Maharashtra. Therefore, we can write the equation:
0.12x - 0.09x = 102
Combine the terms with x:
0.03x = 102
Divide by 0.03 to find x:
x = 102 / 0.03
x = 3400
The number of candidates appeared from each state was 3400.