Multiple choice

In a competition, Jai is 160% as efficient as Amit, who is 250% as efficient as Birbal, who is 300% as efficient as Chetan, who is 600% as efficient as Daya. If Daya takes 36 days to complete a piece of work and gets a share of Rs. 5,000 out of the total allotted money, find the total allotted money in rupees.

  1. 2,50,000

  2. 5,40,000

  3. 7,10,000

  4. 7,00,000

  5. a
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Taking Daya's efficiency as 1, Chetan, Birbal, Amit, and Jai have efficiencies 6, 18, 45, and 72. The total efficiency is 142, so Daya's Rs. 5000 represents 1/142 of the total, making the total allotted money Rs. 710,000.

AI explanation

The efficiencies form a chain where Jai is 1.6 times Amit, Amit is 2.5 times Birbal, Birbal is 3 times Chetan, and Chetan is 6 times Daya. Multiplying these factors shows Jai is 72 times as efficient as Daya. Repeating this process gives Amit as 45 times Daya, Birbal as 18 times Daya, and Chetan as 6 times Daya. The total efficiency of all five men is the sum of these ratios, which is 142 times the efficiency of Daya. Since wages are distributed in proportion to efficiency, Daya's share of Rs. 5,000 represents 1 part out of the total 142 parts. Multiplying 5,000 by 142 gives the total allotted money as Rs. 7,10,000. The correct answer is 7,10,000.

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