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📊 Chapter 10: How Quantities Combine: Understanding Data • Exercise Set 10.2

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Exercise Set 10.1 5Exercise Set 10.2 1Exercise Set 10.3 8Exercise Set 10.4 2Exercise Set 10.5 1End-of-Chapter Exercises 12All Exercises 29
Q1

Savitri's marks in Kashmiri are 35/50 in internals, 44/60 in project, and 80/100 in the final exam. The ratio is 3:4:5. Which of the following expression(s) gives her annual score (as a percentage)?

  1. $\frac{35 \times 3 + 44 \times 4 + 80 \times 5}{3 + 4 + 5}$
  2. $\frac{(\frac{35}{100}) \times 3 + (\frac{44}{100}) \times 4 + (\frac{80}{100}) \times 5}{3 + 4 + 5}$
  3. $\frac{(\frac{35}{50}) \times 3 + (\frac{44}{60}) \times 4 + (\frac{80}{100}) \times 5}{3 + 4 + 5} \times 100$
  4. $\frac{(\frac{35}{50} \times 100) \times 3 + (\frac{44}{60} \times 100) \times 4 + (\frac{80}{100} \times 100) \times 5}{3 + 4 + 5}$

Answer: Expressions (iii) and (iv) are correct. Both correctly convert the individual scores into fractions/percentages of their respective maximum marks before applying the 3:4:5 weights.