A vendor purchased 720 lemons at Rs. 120 per hundred. 10% of the lemons were found rotten which he sold at Rs. 50 per hundred. If the vendor sells the remaining lemons at Rs 125 per hundred, then the loss incurred by him will be Rs.[[1]].

Question

A vendor purchased 720 lemons at Rs. 120 per hundred. 10% of the lemons were found rotten which he sold at Rs. 50 per hundred. If the vendor sells the remaining lemons at Rs 125 per hundred, then the loss incurred by him will be Rs.[[1]].

Accepted Answer

A vendor purchased 720 lemons at Rs. 120 per hundred. 10% of the lemons were found rotten which he sold at Rs. 50 per hundred. If the vendor sells the remaining lemons at Rs. 125 per hundred, then the loss incurred by him will be Rs. 18.From the given question, we have the following data,Cost price of 720 Lemons = Rs. 120 per hundredSo, the cost price of 720 lemons can be calculated using the unitary method as,

720×
    
     120
    
     100
   
   =Rs.864
 Next, it is given that 10% of the lemons were found to be rotten. So, the total number of rotten lemons are,

10
      
       100
     
     ×720=
      
       7200
      
       100

=72

So, 72 lemons were rotten. Then, the lemons which remained were 720 – 72 = 648. Now, it is given that the vendor sold the rotten lemons at Rs. 50 per hundred. So, the selling price of 72 lemons will be,

72×
      
       50
      
       100
     
     =
      
       3600
      
       100

=36

So, the selling price of 72 rotten lemons is Rs. 36.Next, it is given that the remaining lemons which were not rotten i.e., 648 lemons were sold at Rs. 125 per hundred. So, the selling price of 648 lemons will be,

648×
      
       125
      
       100
     
     =
      
       81000
      
       100

=810

So, the selling price of 648 lemons is Rs. 810. So, the loss earned by the vendor is calculated as follows, Loss = C.P of 720 Lemons – S.P of (648 + 72) lemons Loss = 864 – (36 + 810) Loss = 864 – 846 Loss = 18So, the loss incurred by the vendor is Rs. 18.

A vendor purchased 720 lemons at Rs. 120 per hundred. 10% of the lemons were found rotten which he sold at Rs. 50 per hundred. If the vendor sells the remaining lemons at Rs 125 per hundred, then the loss incurred by him will be Rs.[[1]].

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