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Company C sells a line of 25 products with an average retail price of Rs. 1200. If none of these products sells for less than Rs. 420 and exactly 10 of the products sell for less than Rs. 1000, then what is the greatest possible selling price of the most expensive product?

A. Rs. 2600 B. Rs. 3900 C. Rs. 7800 D. Rs. 11800 Answer: Option D
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Solution(By Apex Team)

To find the greatest possible selling price of the most expensive product, we need to consider the minimum selling price of the remaining 24 products which is Rs. 420 each for 10 products and Rs. 1000 each for other 14 products. Minimum selling price of 24 products = Rs. (420 × 10 + 1000 × 14) = Rs. (4200 + 14000) = Rs. 18200 Total selling price of 25 products = Rs. (1200 × 25) = Rs. 30000 ∴ Greatest possible selling price of the most expensive products = Rs. (30000 – 18200) = Rs. 11800

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