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Data interpretation: totals, ratios and weighted averages

Use this sales table for questions 1–5: A sold 120 notebooks and 80 pens; B sold 150 notebooks and 100 pens; C sold 90 notebooks and 110 pens. These are counts, not revenue.

By Pathantu · Published 6 October 2026 · Original practice, not PYQ

Method

  1. Check the unit. Counts cannot give revenue without prices.

  2. Mark the requested base: a shop, a product or the entire table. Add only the required cells.

  3. Overall percentage = total relevant count ÷ total base ×100. Do not average percentages from unequal bases.

Six questions: try first, then open the solution

1. Find B’s total sales count.

Show worked solution

150+100=250 items.

2. What percent of A’s sales were notebooks?

Show worked solution

120/(120+80)×100=60%.

3. Find total notebooks : total pens.

Show worked solution

360:290 = 36:29.

4. Find average pens per shop.

Show worked solution

(80+100+110)/3=96⅔. An average count may be fractional.

5. By what percent is B’s notebook count greater than C’s?

Show worked solution

(150−90)/90×100=66⅔%. Use C as the base.

6. X has 100 items with 10% defects; Y has 300 with 2%. Find the combined defect rate.

Show worked solution

Defects=10+6=16 out of 400. Overall=4%, not the unweighted average 6%.

Check your reasoning

Keep fractions exact until the final answer. Read whether the question asks for a difference, ratio or percent.

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