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A dealer sold three-fifth of his goods at a gain of 25% and the remaining at cost price. What is his loss or gain percent in the whole transaction?
Question

A dealer sold three-fifth of his goods at a gain of 25% and the remaining at cost price. What is his loss or gain percent in the whole transaction?

A.

15% gain

B.

18% loss

C.

18% gain

D.

15% loss

Correct option is A

Given:

A dealer sold three-fifty of his goods at a gain of 25% 

the remaining at cost price. 

Formula Used:

Gain% = SPCPCP×100\frac{ SP - CP}{CP}\times 100

Solution:

Let the total cost price (C.P) be 100 unit.

For 35\frac{3}{5} goods: Sold at a 25% gain, so

C.P. for 35\frac{3}{5} = 35\frac{3}{5} × 100 = 60

S.P = 60 + 25% of 60 = 60 + 15 = 75

For 25\frac{2}{5} goods: Sold at cost price, so;

S.P. = 25\frac{2}{5} ×100 = 40

Total Selling price 75 + 40 = 115

Total cost price = 100

Overall gain 115 - 100 = 15

Gain percentage = 15100\frac{15}{100} × 100 = 15%

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