Question
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Answer (Detailed Solution Below)
Option 3 : 12,500 / 12,500
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Detailed Solution
सही उत्तर 12,500 / 12,500 है।
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prepsnap.in • Part -AQuestion:
In an election, $4\%$ of the votes polled were declared invalid. Candidate A secured $55\%$ of the valid votes and defeated candidate B by 1,200 votes. How many votes were polled in all? / एक चुनाव में डाले गए मतों का $4\%$ अवैध घोषित किया गया। उम्मीदवार A ने वैध मतों का $55\%$ प्राप्त किया और उम्मीदवार B को 1,200 मतों से हराया। कुल कितने मत डाले गए?
1.
10,000 / 10,000
2.
15,000 / 15,000
3.
12,500 / 12,500
4.
11,250 / 11,250
Correct Answer: 12,500 / 12,500
If $T$ votes were polled, valid votes $= 0.96T$ and the margin $= (0.55-0.45) \times 0.96T = 0.096T = 1200$, so $T = 12{,}500$. / यदि $T$ मत डाले गए, तो वैध मत $= 0.96T$ और अंतर $= (0.55-0.45) \times 0.96T = 0.096T = 1200$, अतः $T = 12{,}500$।
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