• # question_answer Three numbers A, B and C are in the ratio 12 : 15 : 25. If the sum of these numbers is 312, then the ratio between the difference of A and B and the difference of C and B is ________ A) 3 : 10               B)          7 : 3 C) 3 : 7                 D)          10 : 3

Solution :

$A:B:C=12:15:25$ Total part 52 one part $=\frac{312}{52}=6$  $A=12\times 6\,=72,\,B=15\times 6\,=90,\,C=25\times 6=150$$\frac{B-A}{C-B}=\frac{90-72}{150-90}=\frac{18}{60}\,=\frac{3}{10}$

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