Question

A person bought a pencil at Rs. 96 per dozen and sold them at Rs. 10 per pencil. Find his profit per cent.

Answer 1

Given :

• Cost price of pencil = Rs 96/dozen
• Selling price of pencil = Rs 10 per pencil

To find :

Profit percentage

Formula used :

• Profit = SP - CP
• Profit % = [ profit × 100 ] ÷ CP

Solution :

Selling price of 1 pencil = ₹10

Selling price of 12 pencil = ₹10 × 12 = ₹120

• Therefore, profit = SP - CP

Profit = 120 - 96

Profit = 24

$\sf \implies \: Profit\:\% = \: \dfrac{P rofit}{CP} \times 100 \\ \\ \sf \implies \: Profit\:\% = \: \dfrac{24}{120} \times 100 \\ \\ \sf \implies \: Profit\:\% = \: \dfrac{1}{5} \times 100 \\ \\ \sf \implies \: Profit\:\% = \ \: 20\%$

ANSWER :

Profit % = 20%