Subject: General Aptitude · Chapter: Average · Exam: 2006 · Marks: · Difficulty:
Company $C$ sells a line of 25 products with an average retail price of ₹ 1200. If none of these products sells for less than ₹ 420 and exactly 10 of the products sell for less than ₹ 1000 , then what is the greatest possible selling price of the most expensive product?
(a)₹ 2600
(b)₹ 3900
(c)₹ 7800
(d)₹ 11800
Answer
Answer (as printed): D
Explanation
To find the greatest possible S.P. of the most expensive product, we need to consider the minimum S.P. of the remaining 24 products which is ₹ 420 each for 10 products and ₹ 1000 each for other 14 products. Minimum S.P. of 24 products $=₹(420 \times 10+1000 \times 14)$ $=₹(4200+14000)=₹ 18200$. Total S.P. of 25 products $=₹(1200 \times 25)=₹ 30000$. ∴ Greatest possible S.P. of the most expensive product $=₹(30000-18200)=₹ 11800$.
Explanation as extracted from the printed page; notation may be imperfect.