Question

41% of 801 - 150.17 = ? - 57% of 910 Option 1) 693 Option 2) 694 Option 3) 697 Option 4) 707 Option 5) None of these

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Answer

:
The correct option is C: 697

First, let's perform the calculations step by step:

  1. Calculate 41% of 801: [ \frac{41}{100} \times 801 = 328.41 ]

  2. Subtract 150.17 from the result: [ 328.41 - 150.17 = 178.24 ]

  3. Let the value we're trying to find be $ x $. The equation becomes: [ 178.24 = x - \left(\frac{57}{100} \times 910\right) ]

  4. Calculate 57% of 910: [ \frac{57}{100} \times 910 = 518.7 ]

  5. Rewrite the equation incorporating this value: [ 178.24 = x - 518.7 ]

  6. Add $ 518.7 $ to both sides to isolate $ x $: [ 178.24 + 518.7 = x ]

  7. Compute the final value of $ x $: [ x = 696.94 \approx 697 ]

Thus, the correct answer is Option C: 697.


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