Question

$A^{\prime }s$ salary is first increased by $25$% and then decreased by $20$%. The result is the same as B's salary increased by 20% and then reduced by 25%. Find the ratio of $B^{\prime }s$ salary to that of $A^{\prime }s$?

• A. $4:3$
• B. $11:10$
• C. $10:9$
• D. $‘12:11$

Answer 1

Answer: (C)

$10:9$

Let Salary of $A$ be $=x$, Salary of $B$ be $=y$
Net effect after changes in $A^{\prime }s$ salary
$=25-20-\frac{20\times 25}{100}=0$
Net effect after changes in $B^{\prime }s$ salary
$=20-25-\frac{25\times 20}{100}=20-30=-10$
i.e. $B^{\prime }s$ Salary $90$% of $y$
ATQ
$x=\frac{90}{100}y\Rightarrow \frac{x}{y}=\frac{9}{10}$
Required ratio $=10:9$.