The table given below shows the distribution of male adults out of total adults (male and female) and the percentage distribution of children out of total adult in four cities. The total number of male adults in four cities is 2700.
Male Adults Percentage of children out of total adult
A 40p 15%
B 30p 10%
C 20p 12%
D 18p 18%
Note: The ratio of male to female adults in city B, C and D is 5:3, 5:6 and 9:11 respectively.
The total number of children in city B is what percentage of the total number of children in city D?
This questions was previously asked in
SBI PO Prelims
Explanation:
Let’s break it down:
- We know total male adults in all four cities is 2700.
- Let’s set 40p + 30p + 20p + 18p = 2700 ? 108p = 2700 ? p = 25.
So, male adults:
- A: 40p = 1000
- B: 30p = 750
- C: 20p = 500
- D: 18p = 450
Now, ratios:
- B (5M:3F): Male = 750, so Female = (750/5)×3 = 450. Total adults in B = 750 + 450 = 1200.
- C (5M:6F): Male = 500, so Female = (500/5)×6 = 600. Total adults in C = 500 + 600 = 1100.
- D (9M:11F): Male = 450, so Female = (450/9)×11 = 550. Total adults in D = 450 + 550 = 1000.
- (A isn’t needed directly.)
Now, percentage of children:
- B: 10% of 1200 = 120
- D: 18% of 1000 = 180
So, the % of children in B vs D: (120 / 180) × 100 = 66.66%.
Let’s look at the options:
- 35%
- 66.66%
- 40%
- 50%
- 55%
Option 2, 66.66%, is correct. That’s exactly what the calculation says.
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By: Parvesh Mehta