In a regiment the ratio between the number of officers to soldiers was 3 : 31 before battle. In a battle 6 officers and 22 soldiers werekilled and the ratio became 1 : 13, the number of officers in the regiment before battle was
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Correct answer: C
Explanation
The correct option is 3.
no of officers : no of soldiers = 3 : 31
no of officers = 3x
no of soldiers = 31x
In a battle 6 officers and 22 soldiers were killed
new no of officers = 3x - 6
new no of soldiers = 31x - 22
new ratio 1 : 13
13(3x - 6) = 31x - 22
39x - 78 = 31x - 22
8x = 78 - 22
8x = 56
x = 7
number of officers in the regiment before battle was = 3x = 3 × 7 = 21