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 of the ratio 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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Convert each ratio statement into a chain of ratios and combine them using a common multiple.
Updated On: Jul 21, 2026
  • Rs. 19,74,375
  • Rs. 12,75,375
  • Rs. 9,37,675
  • Rs. 7,89,750
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The Correct Option is A

Solution and Explanation

This can also be solved by building one single whole-number ratio chain for all five people, using LCM to combine each link, instead of working with fractions of Bakshi's salary.
Step 1: Start the chain. Amar : Bakshi = 5 : 2 (whole numbers).
Step 2: Add Chitra. Bakshi : Chitra = duplicate of 5:2 = 25 : 4. To merge this with Amar : Bakshi = 5:2, scale the first ratio by 25 and the second by 2 so Bakshi matches: Amar : Bakshi : Chitra = 125 : 50 : 8.
Step 3: Add Daksha. Chitra = 3 x Daksha, so Chitra : Daksha = 3 : 1. Current Chitra value is 8, which is not divisible by 3, so scale the whole chain by 3: Amar : Bakshi : Chitra : Daksha = 375 : 150 : 24 : 8.
Step 4: Add Eeshwar. Chitra : Daksha = 24 : 8 = 3 : 1, and the triplicate of this is 27 : 1, so Daksha : Eeshwar = 27 : 1. Current Daksha value is 8, so scale the entire chain by 27 to make Daksha a multiple of 27: Amar : Bakshi : Chitra : Daksha = 10125 : 4050 : 648 : 216, and Eeshwar = Daksha/27 = 216/27 = 8 (in the same units).
Step 5: Use Eeshwar's actual salary. Eeshwar's unit value of 8 corresponds to Rs. 1,560, so 1 unit = 1560/8 = Rs. 195.
Step 6: Find Amar's salary. Amar = 10125 units = \(10125 \times 195 = 1974375\), the same answer as before.\[\boxed{\text{Rs. }19{,}74{,}375}\]
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