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An army of 12000 consists of Europeans and Indians. The average height of a European is 5ft 10 inches and that
Then the number of Indians in the army isof an Indian is 5ft 9 inches and that of the whole army is 5ft 9 3 inches. 4
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- 3000
- 4000
- 5500
- 2700
- 3000
Correct Option: A
Let the number of members of Indian army be n.
∴ Number of European army = 12000 – n.
According to the question,
⇒ | 5 | × n + 5 | × (12000 - n) | ||
12 | 12 | ||||
12000 |
= 5 | 39 |
48 |
⇒ | 69n | + | 70 | × 12000 - | 70n |
12 | 12 | 12 |
= | 279 | × 12000 |
12 |
⇒ 69n + 840000 – 70n = 837000
⇒ n = 840000 – 837000 = 3000