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  1. An army of 12000 consists of Europeans and Indians. The average height of a European is 5ft 10 inches and that
    of an Indian is 5ft 9 inches and that of the whole army is 5ft 93inches.
    4
    Then the number of Indians in the army is
    1. 3000
    2. 4000
    3. 5500
    4. 2700
Correct Option: A

Let the number of members of Indian army be n.
∴ Number of European army = 12000 – n.
According to the question,

5
9
× n + 5
10
× (12000 - n)
1212
12000

= 539
48

69n + 70 × 12000 -70n
121212

= 279 × 12000
12

⇒ 69n + 840000 – 70n = 837000
⇒ n = 840000 – 837000 = 3000



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