In a village-X, a total of 6000 registered voters (male + female) had cast their votes. It is known that 70\% of the total registered male voters and 45\% of the total registered female voters voted. If the total registered male voters are 2000 more than the total registered female voters, find the total number of registered voters in village-X.

Question

Accepted Answer

**Solution:**

1. Let the total registered female voters be *F*.
2. Then, total registered male voters = *F + 2000*.
3. Total votes cast = 6000.

Given:
- 70\% of male voters voted, so votes by males = $0.7 	imes (F + 2000)$
- 45\% of female voters voted, so votes by females = $0.45 	imes F$

4. Total votes cast equation:
   $$0.7(F + 2000) + 0.45F = 6000$$

5. Simplify:
   $$0.7F + 1400 + 0.45F = 6000$$
   $$1.15F + 1400 = 6000$$
   $$1.15F = 6000 - 1400 = 4600$$
   $$F = \frac{4600}{1.15} = 4000$$

6. Total registered male voters = $4000 + 2000 = 6000$
7. Total registered voters = $4000 + 6000 = 10000$

**Answer:** $10000$

Answer

Answer

Answer