The salaries of A and B are in the ratio 1 : 3. If the salary of each is increased by Rs 2000, the new ratio becomes 3 : 4. What is B's salary?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Rs 1200
Write the two salaries as multiples of one unknown, add Rs 2000 to each, and set the new ratio equal to 3 : 4. Cross-multiplying gives the unknown.
Let A's salary be Rs \(k\) and B's salary be Rs \(3k\)
\(\displaystyle \frac{k+2000}{3k+2000}=\frac{3}{4}\)
\(4k+8000=9k+6000\)
\(5k=2000\), so \(k=400\)
B's salary \(=3\times400=\) Rs 1200
B's salary is Rs 1200.