Question

The cost price of 100 pencils is equal to the selling price of 60 pencils. The gain percentage or loss percentage is _____ .

• A. $33 _frac{1}{3} _%$
• B. $66 _frac{2}{3} _%$
• C. $50 _%$
• D. $45 _%$

Hint:

Understand the relationship between cost price and selling price to calculate gain or loss percentage.

Answer 1

The Correct Option is B

To calculate the gain percentage: 1. Let the cost price of 100 pencils be $100x$. 2. The selling price of 60 pencils is also $100x$. 3. Therefore, the selling price of 100 pencils is $_frac{100x}{60} _times 100 = _frac{500x}{3}$. The gain is calculated as: _[ _text{Gain} = _frac{_text{Selling Price} - _text{Cost Price}}{_text{Cost Price}} _times 100_% _] _[ _text{Gain} = _frac{_frac{500x}{3} - 100x}{100x} _times 100_% = _frac{200x}{3x} _times 100_% = 66 _frac{2}{3} _% _] Therefore, the correct answer is (2) $66 _frac{2{3} _%$}.