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The total emoluments of A and B are equal. However, A gets 65% of his basic salary as allowances and B gets 80% of his basic salary as allowances. What is the ratio of the basic salaries of A and B?

a) 16 : 13
b) 5 : 7
c) 12 : 11
d) 7 : 9

Answer: c
Explanation: Let the basic salaries of A and B be x and y respectively.
$$\eqalign{ & x + 65\% \,\,{\text{of }}x = y + 80\% \,\,{\text{of }}y \cr & x + \frac{{ {65x} }}{{100}} = y + \frac{{ {80y} }}{{100}} \cr & \frac{x}{y} = \frac{{180}}{{165}} \cr & x:y = 12:11 \cr} $$

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