Question 77

Logical Reasoning Aptitude Easy

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? 

(A) 3400
(B) 3000
(C) 2850
(D) 3200
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Number of Candidates Appeared


Step 1: Define variables and set up equations

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.

Step 2: Formulate the equation based on the given information

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

Step 3: Solve for x

Combine the terms with x:

0.03x = 102

Divide by 0.03 to find x:

x = 102 / 0.03

x = 3400

Answer:

The number of candidates appeared from each state was 3400.

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