Question
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 9(3/4) inches. Then the number of Indians in the army is?Solution
Using Allegation method 5 feet is common so ignore 5. 10 inch 9 inch 9(3/4) 3/4 1/4 Ratio of army of European to that of India = 3/4 : 1/4 = 3 : 1 ⇒ 3 + 1 = 4 unit ⇒ 4 unit = 12000 ⇒ 1 unit = 3000 ∴ Number of Indians in the army is 3000.
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