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 percentage of sales of fertilizer-Q from company C is to total sales of Fertilizer-P?

Show Hint

First find both chart totals using the given absolute values, then compute company C's Fertilizer-Q sale and compare it to the Fertilizer-P total.
  • 33.5
  • 39.67
  • 57.85
  • 37.5
Show Solution

The Correct Option is D

Solution and Explanation

Start by fixing both chart totals from the two clues given. Company C's 21% share of Fertilizer-P equals 2520 Kg, which gives total Fertilizer-P as $2520/0.21 = 12000$ Kg. Company B's 21% share of Fertilizer-Q equals 3150 Kg, which gives total Fertilizer-Q as $3150/0.21 = 15000$ Kg. Company C's share in the Fertilizer-Q chart is 30%, so its actual sale is $0.30 \times 15000 = 4500$ Kg. Comparing this against the Fertilizer-P total: $\frac{4500}{12000} \times 100 = 37.5$. \[\boxed{37.5}\]
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