The total cost price of two items is rs.10,200 and their selling prices are equal. If one of the tho items is sold at a loss of 12% and another is sold at a loss of 18% then the cost price of the item which is sold at a loss of 18% is?
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Let cost prices be x and y
x+ y = 10200 ------------(1)
Selling price when the first item is sold at a loss of 12% = 88x/100
Selling price when the second item is sold at a loss of 18% = 82y/100
=> 88x/100 = 82y/100
=> 88x = 82y
=> x = 41y/44
from eq:(1), 41y/44 + y = 10200
=> 41y + 44y = 10200 *44
=> 85y = 10200 *44
=> y = 10200 *44/85 = 5280
- cost price of the item sold at a loss of 18% = Rs.5280
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