Siyaram has 100 Kg apples, he sells a part of it at 8% profit and rest of it at 18% profit. The overall profit he earns is 14%. The quantity he sold at 18% profit is:

60 Kg

The correct answer is Option (3) → 60 Kg

Let the quantity sold at 18% profit be $x$ kg.

Then the quantity sold at 8% profit is $(100 - x)$ kg.

Overall profit = 14%

Weighted profit equation:

$\frac{(100 - x)(8) + x(18)}{100} = 14$

$800 - 8x + 18x = 1400$

$800 + 10x = 1400$

$10x = 600$

$x = 60$

The quantity sold at 18% profit is 60 kg.