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Vyom purchased 30 dozen pens at the rate Rs. 48 per dozen. He sold 10 dozen at 20% profit and the remaining 20 dozen at 10% profit. What is his profit percentage?

Vyom purchased 30 dozen pens at the rate Rs. 48 per dozen. He sold 10 dozen at 20% profit and the remaining 20 dozen at 10% profit. What is his profit percentage? Correct Answer 13.33

Given:

Vyom purchased 30 dozen pens at the rate Rs 48 per dozen.

He sold 10 dozen at the profit = 20%

The remaining 20 at the profit = 10%

Formula:

SP = CP × (100 + Profit%)/100

Profit = SP – CP

Profit % = (Profit/CP) × 100

Calculation:

Total cost price of 30 dozen pens = 30 × 48 = Rs. 1440

Total selling price of 30 dozen pens ⇒

⇒ 10 × 48 × + 20 × 48 ×

⇒ 48 × 12 + 96 × 11

⇒ 576 + 1056

⇒ 1632

Profit = 1632 – 1440

∴ Profit = 192

Profit % = (192/1440) × 100

∴ Profit % = 13.33%

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