Question

Q.In an election,10% of the total votes were declared invalid.If a candidate got 40% of the valid votes and if the total number of votes polled were 6,00,000,find the number of valid votes polled in favour of the candidate.

Answer 1

Dear student,
Here is the solution of your asked query:
$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{votes}\mathrm{polled}=6,00,000 \\ \mathrm{Number}\mathrm{of}\mathrm{votes}\mathrm{declared}\mathrm{invalid}=6,00,000\times \frac{10}{100}=60000 \\ \mathrm{Then}\mathrm{number}\mathrm{of}\mathrm{valid}\mathrm{votes}=6,00,000-60000=540000 \\ \mathrm{So},\mathrm{number}\mathrm{of}\mathrm{votes}\mathrm{that}\mathrm{candidate}\mathrm{got}=40\%\mathrm{of}540000=540000\times \frac{40}{100}=216000 \\ \mathrm{Therefore},\mathrm{number}\mathrm{of}\mathrm{valid}\mathrm{votes}\mathrm{polled}\mathrm{in}\mathrm{the}\mathrm{favour}\mathrm{of}\mathrm{candidate}=216000 \end{gathered}$$
Regards