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A trader marks his goods 50% above cost price. He sells 40% of his stock at 10% discount, 30% of stock at 20% discount and remaining stock at 30% discount on marked price. What is his overall profit percent?

A trader marks his goods 50% above cost price. He sells 40% of his stock at 10% discount, 30% of stock at 20% discount and remaining stock at 30% discount on marked price. What is his overall profit percent? Correct Answer 21.5%

Given:

Marked Price (MP) = 150%

He sells 40% of his stock at 10% discount

30% stock at 20% discount 

And remaining at 30% 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%.

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