Question

The ratio $A^{\prime }s$ income to that of $B^{\prime }s$ income is $3:4$ and their expenses are in the ratio $2:3$. If $A$ saves ${}^{\prime }7000$, while $B$ saves ${}^{\prime }8000$, then $A^{\prime }s$ income is

• A. ${}^{\prime }12,000$
• B. ${}^{\prime }16,000$
• C. ${}^{\prime }15,000$
• D. ${}^{\prime }10,000$

Answer 1

The correct option is C ${}^{\prime }15,000$

Let the incomes $A\text{and}B$ be $3x\text{and}4x$ respectively.

$\frac{A^{\prime }s\text{expenses}}{B^{\prime }s\text{expenses}}=\frac{2}{3}$ (Given)

$\Rightarrow \frac{A^{\prime }s\text{income}-₹7000}{B^{\prime }s\text{income}-₹8000}=\frac{2}{3}$

$\Rightarrow \frac{3x-7000}{4x-8000}=\frac{2}{3}$

$\Rightarrow 9x-21000=8x-16000$

$\Rightarrow x=5000$

So, $A^{\prime }s\text{income}=3x=₹15000$.