A man perchases certain number of toffees at 6 per rupee. and the same number of toffees at 7 per rupee. He mixed the toffs and sells them at 6 per rupee. What is his gain or loss percent?

69/13 % loss
79/13% gain
76/13 % loss
75/13 gain

Correct Answer: 79/13% gain

Explanation:

CP of 1 toffee for 1st rate = 1/6
CP of 1 toffee for 2nd rate = 1/7
CP of 2 toffee after mixing = 1/6 + 1/7 = 13/42
CP of 1 toffee after mixing = 13/84
SP of 1 toffee after mixing = 1/6
Gain = 1/6 - 13/84 = 1/84
Gain% = [(1/84) / (13/84)] x 100% = 100/13% = 7⁹/₁₃%

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