# By selling two articles, a man gains Rs.3750 on the whole. He sells one articles for Rs.69000 at 15% profit. Find the cost price of the other article, if it is sold at 20% loss.

1
by rohincyril

2014-08-03T20:06:17+05:30

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Total profit = 3750  = Profit_1 + Profit_2
CP_1 cost price of 1st item.      Profit_1  profit from selling the 1st item

Profit_1 % = (69000 - CP_1) * 100 / CP1    = 15
SO         69000 - CP_1 = 15 CP1 / 100 = 3 CP1 / 20
69000 = 23 CP_1 /  20
CP_1 = RS 60000
Profit_1  = 60000 * 15 / 100  = Rs 9000
So profit_2 = total profit  - profit_1 =  3750 - 9000 = Rs  - 5250      (so it is a loss)

Profit_2 %  =  -20 %  It means that it is - 20% of CP_2        (cost price of 2nd item)
Now profit_2 =   - 20/100 * CP_2  = - 5250
=>    CP_2 = 5250 * 5 = Rs 26250