The ratio of monthly salaries of two persons, A and B is 8 : 7. If the salary of A is increased by 20% and that of B by 10%, the new ratio…
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The ratio of monthly salaries of two persons, A and B is 8 : 7. If the salary of A is increased by 20% and that of B by 10%, the new ratio becomes 96 : 77. What is A's salary ?
Solution
Let the salary of A be "a" and the salary of B is "b"
$\frac{a}{b}$ = $\frac{8}{7}$
Now , After 20% increment, salary of A becomes 1.2a
and after increment of 10% , salary of B becomes 1.1b
Given that $\frac{1.2a}{1.1b}$ = $\frac{96}{77}$, this implies that $\frac{a}{b}$ = $\frac{8}{7}$
As both the equations are giving same ratio and in no way the exact values of A and B can be found out .
Hence Option D is the correct answer