The difference between the total number of people in age group II of city A and B together and age group III of city C and E together is
- AOption (a)
2 lakhs
- BOption (b)
1.2 lakhs
- COption (c)
2.4 lakhs
- DOption (d)
0.8 lakhs
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Correct answer
1.2 lakhs
Why this answer is correct
Given:
Number of people in City A = 14.4 lakhs
Ratio in City A (I ∶ II ∶ III) = 1 ∶ 3 ∶ 2
Number of people in City B = 16 lakhs
Ratio in City B (I ∶ II ∶ III) = 2 ∶ 3 ∶ 3
Number of people in City C = 19.2 lakhs
Ratio in City C (I ∶ II ∶ III) = 1 ∶ 1 ∶ 2
Number of people in City E = 12 lakhs
Ratio in City E (I ∶ II ∶ III) = 1 ∶ 3 ∶ 1
Formula used:
People in age group = (Total people in city) × (Ratio for age group) / (Sum of ratio)
Calculation:
Age Group II in City A = 14.4 × 3 / (1 + 3 + 2)
⇒ 14.4 × 3 / 6
⇒ 7.2 lakhs
Age Group II in City B = 16 × 3 / (2 + 3 + 3)
⇒ 16 × 3 / 8
⇒ 6 lakhs
Age Group III in City C = 19.2 × 2 / (1 + 1 + 2)
⇒ 19.2 × 2 / 4
⇒ 9.6 lakhs
Age Group III in City E = 12 × 1 / (1 + 3 + 1)
⇒ 12 × 1 / 5
⇒ 2.4 lakhs
Difference:
⇒ (Age Group II of City A + City B) - (Age Group III of City C + City E)
⇒ (7.2 + 6) - (9.6 + 2.4)
⇒ 13.2 - 12
⇒ 1.2 lakhs
∴ The difference is 1.2 lakhs.