Rahul bought two articles for Rs. 678. He sold one at a loss of 14% and the other at a gain of 14%. If the selling price of both articles is equal, then the difference between their cost prices? 

94.92

Let two articles are A and B, Let A be sold at 14% loss and B at 14% profit.

ATQ

86% × A = 114% × B

C.P._A : C.P._B = 114 : 86 = 57 : 43

Diff. b/w C.P.s = 57 - 43 = 14

Sum of C.P.s = 57 + 43 = 100

⇒ 100R = 678

⇒ 1R = 6.78

⇒ 14R = 6.78 × 14 = 94.92