Kanchan has bought 50 articles. He sells 20 % of the...

Kanchan has bought 50 articles. He sells $20 \%$ of the articles and makes a profit of $? 1200$, which is also equal to the cost of 5 articles. If the selling price for all 50 articles is the same, what is the value of the remaining articles at the selling price? (A) $? 14400$ (B) $? 9600$ (C) $? 18000$ (D) $? 15000$

Kanchan has bought 50 articles. He sells $20 \%$ of the articles and makes a profit of $? 1200$, which is also equal to the cost of 5 articles. If the selling price for all 50 articles is the same, what is the value of the remaining articles at the selling price?
(A) $? 14400$
(B) $? 9600$
(C) $? 18000$
(D) $? 15000$

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Key Concepts

Cost Equivalence Relationships

This concept relates the profit made to the cost of a specific number of items, showing a direct mathematical correspondence between these two quantities. Recognizing such relationships helps in inferring missing values like the cost per article and in determining the overall valuation of inventory.

Uniform Pricing

Uniform pricing means that all articles are sold at the same rate, which simplifies the computation of overall revenue and cost per item. This concept is crucial in establishing consistent per-unit values when dealing with bulk sales or mixed-sale setups.

Profit and Loss Analysis

This concept involves determining the profit by calculating the difference between the selling price and the cost price. It is essential in problems where overall profit is provided or needs to be deduced, and it connects the per-item profit to total transaction outcomes.

Percentage Calculations

This concept is used to convert percentage information into absolute numbers. For example, identifying that 20% of the articles corresponds to a specific quantity is critical in understanding the distribution of items in a collection or a sales scenario.

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