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Select the correct answerThe daily wages of a worker are Rs. 100. Five workers can do a work in 10 days. If you pay Rs. 20 more daily, they agree to do 25% more work daily. If the proposal is accepted, then the total amount that could be save isOptionsRs. 250Rs. 200Rs. 300Rs. 500

Question

Select the correct answerThe daily wages of a worker are Rs. 100. Five workers can do a work in 10 days. If you pay Rs. 20 more daily, they agree to do 25% more work daily. If the proposal is accepted, then the total amount that could be save isOptionsRs. 250Rs. 200Rs. 300Rs. 500

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Solution

To solve this problem, we need to first understand the current situation and then compare it with the proposed situation.

  1. Current Situation:

    • Daily wage of a worker = Rs. 100
    • Number of workers = 5
    • Time taken to complete the work = 10 days
    • So, total cost of work = Daily wage * Number of workers * Time taken
    • Total cost of work = Rs. 100 * 5 * 10 = Rs. 5000

  2. Proposed Situation:

    • Daily wage of a worker = Rs. 100 + Rs. 20 = Rs. 120 (since they are paid Rs. 20 more daily)
    • Number of workers = 5
    • Time taken to complete the work = 10 days * (1 - 0.25) = 7.5 days (since they agree to do 25% more work daily, the time taken will be 25% less)
    • So, total cost of work = Daily wage * Number of workers * Time taken
    • Total cost of work = Rs. 120 * 5 * 7.5 = Rs. 4500

  3. Savings:

    • The savings would be the difference between the current total cost and the proposed total cost.
    • Savings = Current total cost - Proposed total cost
    • Savings = Rs. 5000 - Rs. 4500 = Rs. 500

So, the correct answer is Rs. 500.

This problem has been solved

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