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.
Instead of adding percentages first, use the given conversion key from the start: every 1 percent of production equals 1,000 tons, since 100 percent equals 1,00,000 tons.
List the elements feeding A: the chart connects all six elements into industry A, with shares 10, 10, 10, 25, 40, and 5 percent.
Convert each share to tons: that is 10,000 plus 10,000 plus 10,000 plus 25,000 plus 40,000 plus 5,000 tons.
Add the tonnages: $10000+10000+10000+25000+40000+5000 = 1{,}00{,}000$ tons.
This matches working with the percentage total directly, confirming industry A's yearly tonnage is the full 1,00,000 tons shown in the chart's key.
Let's summarize:
Converting each element's share to tons first, then adding, gives the same result as adding percentages and converting once.
Either path lands on 1,00,000 tons for industry A.
