A man sells 320 mangoes at the cost price of 400 mangoes (Cost price of all the articles is same. Selling pric

Question

A man sells 320 mangoes at the cost price of 400 mangoes (Cost price of all the articles is same. Selling price of all the articles is same). His gain percentage is:

Examoogle · Accepted Answer

The correct answer is Option B: 25%. Calculating Gain Percentage when SP of 320 Articles Equals CP of 400 Articles

Step-by-Step Solution & Concepts:
Key Fact: Calculating Gain Percentage when SP of 320 Articles Equals CP of 400 Articles

Given: Selling price of 320 mangoes = Cost price of 400 mangoes

Key Formulas: $	ext{Gain \%} = \frac{CP	ext{ items} - SP	ext{ items}}{SP	ext{ items}} 	imes 100$

Key Points: Shortcut: $\frac{400 - 320}{320} 	imes 100 = \frac{80}{320} 	imes 100 = 25\%$.; Correct answer is 25%.

Steps: Establish Ratio of SP to CP: $$320 	imes SP = 400 	imes CP$$ $$\frac{SP}{CP} = \frac{400}{320} = \frac{5}{4}$$. Compute Profit Percentage: Profit on CP of 4 units is $5 - 4 = 1$ unit. $$	ext{Gain \%} = \frac{	ext{Profit}}{CP} 	imes 100 = \frac{1}{4} 	imes 100 = 25\%$$

Answer: Option B is correct — 25%

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