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Question

The ratio of As salary to Bs was 4 : 5. As salary is increased by 10% and Bs by 20%, what is the ratio of their salaries now?

A
11:15
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B
11:55
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C
11:66
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D
11:33
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Solution

The correct option is A 11:15
Let the salary of B be x .
So Salary of A is Ax=45
Solving,Salary of A=4x5
Now, if salary of A is increased by 10%, the new salary of A is 4x5+4x5×10%
=0.8x+0.8x×10100
=0.8x+0.8x×0.1
=0.8x+0.08x=0.88x
New Salary of B=x+x×20%
=x+x×20100
=x+x5=5x+x5=6x5=1.2x
Hence the ratio of their new salaries are
AB=0.88x1.2x=0.881.2=0.88×1001.2×100=88120=2230=1115
Hence the ratio is 11:15

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