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Term 1 · Weeks 1–2 · Earning Money and Percentages

Challenge problem

Challenge

A kilo of rice costs ₱52 today. If prices rise by 6% per year because of inflation, what will a kilo cost in two years?

Choices
Show step-by-step solution

Answer: c. ₱58.43

  1. Each year the price is multiplied by 1.061.06.
  2. After two years: 52×1.062=52×1.1236=58.427252 \times 1.06^2 = 52 \times 1.1236 = 58.4272.
  3. The price will be about ₱58.43.

Common errors to watch for

  • (b) Adding 6% twice (12%) ignores that the second increase applies to the already higher price.
  • (a) Applied only one year of inflation.
  • (d) Used 24% (6% × 4) instead of compounding twice.

Budget of Work competencies

  • gm11.t1.w1.c2
    Apply a percentage increase or decrease in various contexts:

Built for teachers and learners in the Philippines. Curriculum content follows the DepEd Budget of Work.

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