Correct Answer - Option 1 : 21.5%
Given:
Marked Price (MP) = 150%
He sells 40% of his stock at 10% discount
30% stock at 20% discount
And remaining at 25% discount on the marked price
Formula used:
Profit% = (profit/CP) × 100
SP = MP × (100 - discount%)/100
Calculation:
Let the trader bought 100 goods at each price of Rs. x
Total C.P = Rs. 100x
MP of each article = 1.5x
He sold 40 article at 10% discount
SP = 1.5x × 90/100 = 1.35x
His profit is (1.35x - x) × 40 = 14x
He sold 30 article at 20% discount
SP = 1.5x × (80/100) = 1.2x
His profit is (1.2x - x) × 30 = 6x
He sold remaining 30 article at 30% discount
SP = 1.5x × (70/100) = 1.05x
His profit is (1.05x - x) × 30 = 1.5x
Total profit = 14x + 6x + 1.5x = 21.5
Profit% = (21.5x/100x) × 100 = 21.5%
∴ The over all profit is 21.5%.