A trader sells two articles, one at a loss of 10% and another at a profit of 15% but finally there is no loss or gain.If the total sale price of these two articles is Rs.30,000, find the difference between there cost price :

Rs.5000
Rs.6000
Rs.7500
none of these

Correct Answer: Rs.6000

Explanation:

From the question
10 % x = 15% of y ...(i)
x+y = 30000 ...(ii)
from eq. (i)
x / y = 3/2 ...(iii)
by solving eq. (ii) & (iii)
x = 18000, y = 12000
Hence, the difference =6000

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