Question

$A$ earns $12\frac{1}{2}\%$ more than $B$. If they jointly earn Rs. $35,700$ in a year, then the amount that $A$ earns annually is

• A. Rs. $16,800$
• B. Rs. $17,875$
• C. Rs. $18,225$
• D. Rs. $18,900$

Answer 1

The correct option is D Rs. $18,900$

If $B$ earns Rs. $x$, then $A$ earns Rs. $(x+12.5$% of $x)$
$=\frac{112.5}{100}x=1.125x$
$\Rightarrow x+1.125x=35700$
$\Rightarrow 2.125x=35700$

$\Rightarrow x=\frac{35700}{2.125}=$ Rs. $16800$
$\therefore A^{\prime }s$ earning is Rs $16800\times 1.125=$ Rs. $18900$