Question:hard

The monthly salary of Amar is two and a half times the monthly salary of Bakshi. The ratio of the monthly salaries of Bakshi and Chitra is the duplicate ratio of monthly salaries of Amar and Bakshi. The monthly salary of Chitra is thrice the monthly salary of Daksha. The ratio of monthly salaries of Daksha and Eeshwar is the triplicate ratio of the ratios of monthly salaries of Chitra and Daksha. What is the monthly salary of Amar, if Eeshwar's monthly salary is Rs. 1,560?

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Chain all five salaries back to one variable using the given ratios (remembering that a duplicate ratio squares the ratio and a triplicate ratio cubes it), then substitute Eeshwar's known salary to solve for that variable.
Updated On: Jul 20, 2026
  • Rs. 19,74,375
  • Rs. 12,75,375
  • Rs. 9,37,675
  • Rs. 7,89,750
  • Rs. 7,65,275
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The Correct Option is A

Solution and Explanation

Work forward from Eeshwar instead of backward from Bakshi, assigning a convenient base value.
Let \(D=27\) units (a multiple of 27 makes the triplicate-ratio step come out clean). Since \(D:E\) is the triplicate ratio of \(C:D=3:1\), we have \(D:E=27:1\), so \(E=1\) unit.
We are told \(E=1560\), so \(1\text{ unit}=1560\), which means \(D=27\times1560=42120\).
Since \(C=3D\): \(C=3\times42120=126360\).
Since \(B:C\) is the duplicate ratio of \(A:B=5:2\), i.e. \(B:C=25:4\), we get \(B=\dfrac{25}{4}C=\dfrac{25}{4}\times126360=7,89,750\).
Finally, \(A=\dfrac{5}{2}B=\dfrac{5}{2}\times7,89,750=19,74,375\).
Both directions of substitution agree.\[\boxed{Rs.\ 19{,}74{,}375}\]
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