in an election between two candidates a and b, the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled. if 20 % of the votes polled were invalid and a total of 4720 votes were polled, then how many valid votes did b get? Select the correct option:
A) 1534
B) 2999
C) 2834
D) 2777
E) 2991
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(4/5) * 4_720</gadget>
<output>3_776</output>

<gadget id="calculator">15 * 4_720</gadget>
<output>70_800</output>

<gadget id="calculator">70_800 / 100</gadget>
<output>708</output>

<gadget id="calculator">3_776 - 708</gadget>
<output>3_068</output>

<gadget id="calculator">3_068 / 2</gadget>
<output>1_534</output>

<result>A</result>
in an election between two candidates a and b, the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled. if 20 % of the votes polled were invalid and a total of 4720 votes were polled, then how many valid votes did b get?
divide(subtract(multiply(subtract(const_1, divide(20, const_100)), 4720), divide(multiply(15, 4720), const_100)), const_2)
"let the total number of votes polled in the election be 100 k . number of valid votes = 100 k - 20 % ( 100 k ) = 80 k let the number of votes polled in favour of a and b be a and b respectively . a - b = 15 % ( 100 k ) = > a = b + 15 k = > a + b = b + 15 k + b now , 2 b + 15 k = 80 k and hence b = 32.5 k it is given that 100 k = 4720 32.5 k = 32.5 k / 100 k * 4720 = 1534 the number of valid votes polled in favour of b is 1534 . answer : a"