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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?

Sagot :

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
       ([tex] \frac{35}{100} [/tex]*x) + x = 1064
       [tex] \frac{7x}{20} [/tex] + x = 1064
        [tex] \frac{7x}{20} + \frac{20x}{20} [/tex] = 1064
        [tex] \frac{27x}{20} [/tex] = 1064
   Therefore:
                 27x = 1064*20
                 27x = 21,280
                    x = [tex] \frac{21280}{27} [/tex]
                    x = Rupees 788.14
Cost price is Rs. 788.14
     Profit = 35% of 788.14
        [tex] \frac{35}{100}*788.14 [/tex]
       Total profit = Rupees 275.849 

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