Ratio And Proportion Ques 23

Question-

Ratio of the earnings of $A$ and $B$ is $4: 7$. If the earnings of $A$ increase by $50 \%$ and that of $B$ decrease by $25 \%$, the new ratio of their earnings becomes $8: 7$. What are A’s earnings ?

(1) Rs. 21000

(2) Rs. 27000

(3) Rs. 24000

(4) Data inadequate

(5) None of these

Show Answer

Correct Answer: (4)

Solution: (4)

A’s earnings $=$ Rs. $4 x$ (let).

B’s earnings $=$ Rs. $7 x$

A’s new earnings $=$ Rs. $\left(\frac{150}{100} \times 4 x\right)=$ Rs. $6 x$

B’s new earnings $=$ Rs. $\left(\frac{75}{100} \times 7 x\right)=$ Rs. $\frac{21 x}{4}$

$\therefore 6 x: \frac{21 x}{4}=8: 7$ $\Leftrightarrow \frac{6 x \times 4}{21 x}=\frac{8}{7}$

No result.