A shopkeeper sold 5/8 of his articles at a gain of 20% and the remaining at the cost price. What is his gain percentage in the whole transaction?

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Let the total cost price of all articles be 8 units (to simplify calculations).

- Articles sold at gain: 5/8 of total articles, cost price = 5 units.
- Articles sold at cost price: remaining 3/8, cost price = 3 units.

For the 5 units sold at 20% gain:
Selling price = Cost price + 20% of cost price = 5 + (20/100)*5 = 5 + 1 = 6 units.

For the 3 units sold at cost price:
Selling price = 3 units.

Total selling price = 6 + 3 = 9 units.
Total cost price = 8 units.

Gain = Selling price - Cost price = 9 - 8 = 1 unit.

Gain percentage = (Gain / Cost price) * 100 = (1 / 8) * 100 = 12.5% or 12 1/2%.

Hence, the overall gain percentage is 12 1/2%.

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