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Vishal purchased 50 dozen pens at the rate Rs. 64 per dozen. He sold 25 dozen at 20 percent profit and the remaining 25 dozen at 30 percent profit. What is the overall profit percentage?

Vishal purchased 50 dozen pens at the rate Rs. 64 per dozen. He sold 25 dozen at 20 percent profit and the remaining 25 dozen at 30 percent profit. What is the overall profit percentage? Correct Answer 25 percent

Given:

Rate of pens = Rs. 64 per dozen

Quantity of purchased pens = 50 dozen

Vishal sold 25 dozen at 20 percent profit and the remaining 25 dozen at 30 percent profit

Formula used:

Profit = SP - CP

Profit% = (Profit/CP) × 100

SP = Selling price

CP = Cost price

Calculation:

Total CP = 64 × 50 = 3200

Total SP = + =  +

⇒ SP = 4000

Profit = 4000 - 3200 = 800

Profit% = (800/3200) × 100 = 25

∴ Overall profit = 25%

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