MathematicsThe cost of fencing a square field at 60 paise per metre is Rs.1200.Find the cost of reaping the field at the rate of 50 paise per 100 sq. metres.

The cost of fencing a square field at 60 paise per metre is Rs.1200.


Find the cost of reaping the field at the rate of 50 paise per 100 sq. metres.


  1. A
    125000 paise
  2. B
    250000 paise
  3. C
    375000 paise
  4. D
    500000 paise 

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    Solution:

    It is given that the cost of fencing one meter of a square field is 60 paise.
    And the total cost of fencing the entire field is Rs. 1200
    Rs. 1200=1200×100  [Rs 1 = 100 paise]
    Rs. 1200 =120000 paise
    We have to find the cost of reaping the field at the rate of 50 paise per 100 sq. metres.
    We know that,
    area of square= (side) 2  
    Perimeter of square = 4×side
    Here,
    Perimeter of the square field= 120000 60 m 4(side)=2000m side=500m   So,
    area of square field= side 2 area of square field= 500 2 area of square field=250000 m 2  
    Cost of repairing per 100m 2 =50  paise.
    Cost of repairing per 1 m 2 = 50 100 paise.  
    Cost of repairing per 250000m 2 =( 50 100 ×250000)=125000 paise  
    Hence, the total cost of repairing the complete square field is 125000 paise.
    Therefore, option 1 is correct.
     
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