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+1 vote

Two-fifths of the voters promise to vote for P and the rest promise to vote for Q. Of these, on the last day, $15$% of the voters went back on their promise to vote for P and $25$% of voters went back of their promise to vote for Q, and P lost by 2 votes. Then the total number of voters is:

- $100$
- $110$
- $90$
- $95$

+1 vote

Assume there were x voters in the city .

**0.4x promised to vote for P**(Two-fifths of the voters promise to vote for P) **out of which 0.06x voted for Q**(15% of two-fifth i.e. 15% of 0.4x)

**0.6x promised to vote for Q**( rest promise to vote for Q) **out of which 0.15x voted for P**(25% of rest i.e. 25% of 0.6x)

Total votes P got = 0.40x - 0.06x + 0.15x = 0.49x

Total votes Q got = 0.60x + 0.06x - 0.15x = 0.51x

As given in the question that P lost by 2 votes

0.02x = 2

x=100

**the total number of voters is : 100**

**Hence Option A is the Correct Answer.**

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