 There are two candidates Bhiku and Mhatre for an election. Bhiku gets 65% of the total valid votes. If the total votes were 6000, what is the number of valid votes that the other candidate Mhatre gets if 25% of the total votes were declared invalid?A. 1575 B. 1625 C. 1675 D. 1525 Verified
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Hint: Find total valid votes first and then check the % of both candidates and subtract 65% from 100% for Mahtre’s vote %.
To find the percentage the formula is:
$\dfrac{\text{given amount}}{\text{total amount}}\times 100$
And to find amount from a given percentage the formula is:
$\dfrac{\text{amount}\,\text{in}\,\text{percentage}(a{\scriptstyle{}^{0}/{}_{0}})\times \text{total}\,\text{amount}\,\text{of}\,\text{that}\,\text{percentage}}{100}$

Complete step by step solution: Given that, the number of candidates is 2.
namely Bhiku and Mhatre.
Bhiku get 65% of the total valid votes
The total number of votes = 6000.
Total number of invalid votes = 25% of 6000
$=\dfrac{25}{1{0}{0}}\times 60{0}{0}=1500$
Therefore no. of invalid votes = 1500
Valid votes = 6000 − 1500 = 4500
Now, total valid votes = 4500.
Bhiku got 65% of valid votes
\begin{align} & \Rightarrow \dfrac{65}{1{0}{0}}\times 45{0}{0} \\ & \Rightarrow 2,925\ \text{votes} \\ \end{align}
\begin{align} & =\dfrac{35}{1{0}{0}}\times 45{0}{0} \\ & =1575\ \text{votes} \\ \end{align}