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rohit marks his goods at 40% above the cost price but allows a discount of 5% on cash payment to his customers. What actual profit does he make if he recieves rs 1064 after allowing the discount?

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Soham

Goods are marked 40% above cost price but 5% discount is given.
Therefore, total profit = (40 - 5)%
                               = 35%
  Let the cost price be 'x.'
So, (35% of x) + x = 1064
       (\(\frac{35}{100}\)x) + x = 1064
       \(\frac{7x}{20}\) + x = 1064
        \(\frac{7x}{20} + \frac{20x}{20}\) = 1064
        \(\frac{27x}{20}\) = 1064
   Therefore:
                 27x = 106420
                 27x = 21,280
                    x = \(\frac{21280}{27}\)
                    x = Rupees 788.14
Cost price is Rs. 788.14
     Profit = 35% of 788.14
        \(\frac{35}{100}*788.14\)
       Total profit = Rupees 275.849 

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