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Answer (Detailed Solution Below)

Option 4 : 15,625 / 15,625

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Detailed Solution

सही उत्तर 15,625 / 15,625 है।

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Question:

In an election contested by only two candidates, the winner secured 52% of the valid votes and defeated the runner-up by 600 votes. If 4% of the total votes cast were declared invalid, how many votes were cast in all? / केवल दो उम्मीदवारों वाले एक चुनाव में विजेता ने वैध मतों का 52% प्राप्त किया और उपविजेता को 600 मतों से हराया। यदि डाले गए कुल मतों का 4% अवैध घोषित हुआ, तो कुल कितने मत डाले गए थे?

1.
15,000 / 15,000
2.
15,600 / 15,600
3.
14,400 / 14,400
4.
15,625 / 15,625

Correct Answer: 15,625 / 15,625

Margin = $52\% - 48\% = 4\%$ of valid votes = 600, so valid votes = $600/0.04 = 15000$. Valid votes are $96\%$ of total cast, so total = $15000/0.96 = 15625$. / अंतर = वैध मतों का $52\% - 48\% = 4\% = 600$, अतः वैध मत = $600/0.04 = 15000$। वैध मत कुल डाले गए मतों का $96\%$ हैं, अतः कुल = $15000/0.96 = 15625$।

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