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:
Answer & explanation
Correct answer: option 3
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.