Instructions (Q. 46 to 48): The chart below shows six elements, numbered 1 to 6, along with their percentage share of total annual production. Each element is processed by one or more of three industries, A, B, and C, which in turn supply primary users P through W, each shown with its percentage share of total usage. The total production equals 100 percent, which equals 1,00,000 tons. Study the chart and answer the questions that follow.
Of the listed elements processed by industry A, how many tons are produced annually?
Show Hint
Add the percentage shares of every element that has an arrow into industry A, then use the chart's key that 100 percent equals 1,00,000 tons.
Step 1: Add up the share of every element that feeds industry A. Following every arrow that leads into A, the elements involved carry shares of 10 percent, 10 percent, 10 percent, 25 percent, 40 percent, and 5 percent. \[ 10 + 10 + 10 + 25 + 40 + 5 = 100\% \]
Step 2: Convert this percentage into tons. The chart's key states that 100 percent production equals 1,00,000 tons. \[ 100\% \times \dfrac{1{,}00{,}000 \text{ tons}}{100\%} = 1{,}00{,}000 \text{ tons} \]
Step 3: Rule out the other options. 30,000, 50,000, and 55,000 tons would each only match a partial slice of the elements feeding A, not the full set the chart shows connected to it.
Final Answer: Industry A processes elements worth the entire 1,00,000 tons of yearly production. \[ \boxed{1{,}00{,}000 \text{ tons}} \]
