a man sells two article first at 15%loss and second at 19%profit if during the transaction he bears a loss of rupees 90.if he sell both article at same price then find the cost price of second article.
Answers
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Cost Price of 2nd article = Rs 4500
Step-by-step explanation:
Cost Price of article sold at Loss = L
Cost price of article sold at Profit = P
15%loss = (15/100)L = 0.15L
Selling Price = L - 0.15L = 0.85L
19% profit = (19/100)P = 0.19P
Selling Price = P + 0.19P = 1.19P
0.85L = 1.19P
=> L = 1.4P
if during the transaction he bears a loss of rupees 90
=> 0.15L - 0.19P = 90
=> 0.15(1.4P) - 0.19P = 90
=> 0.21P - 0.19P = 90
=> 0.02P = 90
=> P = 4500
Cost Price of 2nd article = Rs 4500
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