Question

The following charts show the sales share of five companies (A, B, C, D and E) for two fertilizer products, Fertilizer-P and Fertilizer-Q. The Fertilizer-P sale of company C is 2520 Kg and the Fertilizer-Q sale of company B is 3150 Kg.

How many companies have higher Fertilizer-Q sales than the average sales of Fertilizer-P from the 5 companies?

• A. 5
• B. 3
• C. 4
• D. 2

Hint:

Compute the average Fertilizer-P sale as a single benchmark number, then check each company's Fertilizer-Q sale against that number.

Answer 1

The Correct Option is C

First fix the benchmark, then check each company against it. The benchmark is the average Fertilizer-P sale: total Fertilizer-P is $2520/0.21=12000$ Kg, so the average per company is $12000/5=2400$ Kg. Now list each company's actual Fertilizer-Q sale using total Fertilizer-Q $=3150/0.21=15000$ Kg: A gives $0.22\times15000=3300$, B gives $0.21\times15000=3150$, C gives $0.30\times15000=4500$, D gives $0.10\times15000=1500$, E gives $0.17\times15000=2550$. Checking each against 2400: A, B, C and E all cross it, only D falls short. \[\boxed{4}\]