JKSSB Written 2024
Answer & Explanation
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Correct Answer:
Option B —
16,800
Step-by-Step Solution1. Define the Variables: Let the total number of enrolled voters be x. Voters who cast their votes: 75% of x = 0.75x Valid votes: Since 2% were invalid, 98% of the cast votes were valid.$$\text{Valid Votes} = 98% text{ of } 0.75x = 0.98 \times 0.75x Candidate's votes: The candidate got 9261 votes, which was 75\% of the total valid votes.9261 = 75\% { of } (0.98 x 0.75x)2. Set up the Equation:
9261 = 0.75 x 0.98 x 0.75 x X
Solve for x: To make calculations easier, we can convert the decimals into fractions: 9261 = {3}\{4} x {49}\{50} x{3}\{4} x x
9261 = {441}\{800}x x
Now, isolate $x$:$$x = \frac{9261 \times 800}{441}$$$$x = 21 \times 800$$(Note: $9261 \div 441 = 21$)$$x = \mathbf{16,800}$$
Now, isolate $x$:$$x = \frac{9261 \times 800}{441}$$$$x = 21 \times 800$$(Note: $9261 \div 441 = 21$)$$x = \mathbf{16,800}$$
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.