Cpt-need help in this question

X invoiced goods to Y at 25% profit on cost. 40% of goods were lost in transit . 60% of goods received were sold by consignee at 25% above the invoice price. Rate of commission is 10% on sales at invoice price plus 50% of gross sales less all commission exceeded cost price. The amount of commission is Rs.7800. The cost of goods sent of consignment is: A. Rs.60000 B. Rs.80000 C. Rs.100000 D. None
Replies (3)

Let cost be 100

Invoice price = 100 *125%

Selling Price = 125 *125% = 156.25

Therefore Additional Profit over Invoice price = 31.25

Therefore ,

Commission  = 125*10% + 31.25*50%

      7800        =28.125 %

Therefore Cost of Goods = 7800 / 28.125%

     =27733.33

Total Goods Sent on Consignment = 27733.33 / 60%  = 46222.22 

Thank you very much!!
but Is there any other method to solve this question?? I could not understand it

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