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SSC Selection Post 2022 PYQ — Question 74

SSC Selection Post - Matriculation Level 2022 - 2 Aug 2022 - Shift 1 • Quantitative Aptitude • Q74

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In an election of college students’ president, a total of 2500 votes were polled. Akshit, Sumit and Rajni were contesting for the election.10% of the total votes were rejected due to different reasons. Akshit received half of the votes received by Sumit. The average of Akshit’s and Sumit’s votes was equal to Rajni’s votes. How many votes did Akshit receive?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 500.

Valid votes = 2500 − 10% of 2500 = 2500 - 250 = 2250

Let Sumit's votes = x

Then Akshit's votes = x/2​

Rajni = Average of Akshit and Sumit = x+x22=3x4\frac{x + \frac{x}{2}}{2} = \frac{3x}{4}

x+x2+3x4=2250⇒9x4=2250⇒x=2250×49=1000x + \frac{x}{2} + \frac{3x}{4} = 2250 \Rightarrow \frac{9x}{4} = 2250 \Rightarrow x = \frac{2250 \times 4}{9} = 1000

Akshit vote = 1000/2 = 500