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Direction: Read the following data carefully and answer the following questions:
There are two villages A and B in a certain district. The population of village A is 35% less than the population of village B. Total population of both villages is 8250. The ratio between adults and children in two villages is 20: 13. The difference between the number of adults and children including two villages is 1750. In village A, the number of adults is 60% more than the number of children. While in village B, the number of adults is 1.5 times the number of children.
Find the difference between the number of adults in village B and the number of children village B.
1200
800
1500
1000
900
Let’s break it down step by step:
- Village A’s population is 35% less than B’s. Let B = x, so A = x - 0.35x = 0.65x.
- Combined: x + 0.65x = 1.65x = 8250 ? x = 5000 (B), A = 3250.
- The adult:children ratio for both villages together is 20:13. So let’s call adults = 20k, children = 13k.
- Total pop: 20k + 13k = 33k. But this sum must be 8250 ? k = 250.
- So, adults = 5000, children = 3250.
- The difference between adults and children = 5000 - 3250 = 1750 (matches the info).
- In village A: Adults are 60% more than children. Let’s call children in A = a. Adults in A = a + 0.6a = 1.6a.
- Population A: a + 1.6a = 2.6a = 3250 ? a = 1250. Adults in A = 1.6 × 1250 = 2000.
- Similarly in B: Let children in B = b, adults in B = 1.5b.
- B’s total: b + 1.5b = 2.5b = 5000 ? b = 2000. Adults in B = 1.5 × 2000 = 3000.
Now, the question: What’s the difference between adults and children in village B?
Adults in B = 3000, Children in B = 2000 ? 3000 - 2000 = 1000.
- Option 4 is 1000.
- That matches our calculation.
- The other options (1200, 800, 1500, 900) don’t fit.
The answer is Option 4 – 1000.
By: Parvesh Mehta ProfileResourcesReport error
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