Question:hard

Salaries of Ankita and Ishita are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Ishita's salary?

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Set salaries as 2k and 3k, then use the new ratio after the Rs 4000 increase.
  • 37000
  • 38000
  • 46800
  • 36700
Show Solution

The Correct Option is B

Solution and Explanation

Try each option as Ishita's final salary and check whether removing the raise gives back a clean $2:3$ ratio.
If Ishita's final salary is $38000$, her original salary was $38000 - 4000 = 34000$.
Using the final ratio $40:57$, Ankita's final salary is $38000 \times \dfrac{40}{57} \approx 26667$, so her original salary was about $22667$.
Checking $22667 : 34000$, this reduces to almost exactly $2:3$, confirming the given original ratio.
None of the other options reduce back to a clean $2:3$ ratio after removing the Rs $4000$ raise.
\[\boxed{Rs. 38000}\]
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