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Direction: Read the data carefully and answer the following question.
In a locality there are 5 two Storey buildings namely G, H, I, J and K. Some persons are living on ground floor while remaining are living on first floor of those buildings.
18.75% of total persons living in all the five buildings together are living in building G. Total person living on the building I is 25% more than that of living in building G.
Ground floor: total person living on ground floor is all the five building together is 150. Total person living on ground floor of the building G is 66(2/3)% Of total person living in the building G. One third of total number of Person living in the building I are living on ground floor. The person living on ground floor of building J is 30.
First floor: total persons living on first floor is 17/32 of total percent living in all the five building together. Total person living on first floor of building H is 5 more than the total person living on ground floor of building G which is half of the total persons living in the building H. 40% of total person living in the building J are living on first floor.
If 40% of total person living in building I is female and 20% of total person living in first floor of building I are females, then find the what percent of total female living in the building I are living on ground floor?
50%
66.67%
70%
78.89%
None of these
Let’s break it down:
- Total people in all five buildings: Let’s call this T.
- Building G has 18.75% of T ? G = 0.1875T
- Building I has 25% more than G ? I = 1.25 × G = 0.234375T
- People on ground floors of all buildings: 150
- On ground floor of G: 66?% (which is 2/3) of G ? (2/3) × 0.1875T = 0.125T
- On ground floor of I: one third of I ? (1/3) × 0.234375T ˜ 0.078125T
- Ground floor of J: 30
- First floor people: 17/32 of T ? (17/32)T
- First floor of H: 5 more than ground floor of G ? 0.125T + 5 (which is also half of building H's total)
- First floor of J: 40% of total in J
- Now, in building I, 40% are female. On first floor of I, 20% are female.
- We’re to find: What percent of total females in I are living on ground floor.
So, actual numbers:
- G: 0.1875T | ground floor: 0.125T
- I: 0.234375T | ground floor: 0.078125T
- First floor of I: I – (ground floor of I) ? 0.234375T – 0.078125T = 0.15625T
Females in I:
- 40% of 0.234375T ? 0.09375T
- On first floor: 20% of 0.15625T ? 0.03125T females
- So, females on ground floor: 0.09375T – 0.03125T = 0.0625T
Now, percent of total females in I who are on ground floor:
= ground floor females / total females × 100
= (0.0625T / 0.09375T) × 100
= (0.0625 / 0.09375) × 100
= (2 / 3) × 100
= 66.67%
Which matches Option 2.
So the correct answer is:
Option:2, 66.67%
Here's what we used:
- Set up each percentage as an equation.
- Kept track of ground and first floor splits.
- Used the female percentages to split them by floor.
- Did the math for the percent.
66.67% is the number you’re looking for!
By: Parvesh Mehta ProfileResourcesReport error
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