Question:medium

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.
What is the difference between Fertilizer-P sales from company A, B and C together and total sales of Fertilizer-Q from company C, D and E?

Show Hint

Add the relevant percentage shares for each group first, then convert both to Kg using the two chart totals and subtract.
  • 1590
  • 2190
  • 1890
  • 1770
Show Solution

The Correct Option is A

Solution and Explanation

Work out each group's share directly as a fraction of its chart before converting to weight. Group A+B+C on the Fertilizer-P chart covers $15+22+21=58$ percent, and since total Fertilizer-P is $2520/0.21=12000$ Kg, this group sells $0.58 \times 12000 = 6960$ Kg. Group C+D+E on the Fertilizer-Q chart covers $30+10+17=57$ percent, and since total Fertilizer-Q is $3150/0.21=15000$ Kg, this group sells $0.57 \times 15000 = 8550$ Kg. The gap between the two groups is $8550-6960=1590$ Kg. \[\boxed{1590}\]
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