the cost price of two houses for rs3,60,000.he sells one house at a profit of 15% and the other at a loss of 10% if there no gain or loss in the whole transaction,find the cost price of each house
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Answer:
here,
let,
cp of first house =x
cp of second house=360000-x
in first house
profit% = 15%
(sp1 )= cp + p% of cp
(sp1) =x+ 15/100 * x
(sp1)=115x/100
Step-by-step explanation:
in second house
loss = 10%
(sp2) = cp - l% of cp
(sp2) = (360000-x) - 10/100 * (360000-x)
(sp2) = 90(360000-x)/100
(sp1) = (sp2)
or, 115x/100 = 90(360000-x)/100
or, 115x= 90(360000-x)
or, 115x = 32400000-90x
or, 205x = 32400000
or, x = 158048.78
hence, first house cost price is Rs. 158048.78 and second house cost is Rs. (360000-158048.78)= Rs.201951.22
i hope this is useful for you
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