# Exam-Style Questions on Percentages Inequalities

## Problems on Percentages Inequalities adapted from questions set in previous Mathematics exams.

### 1.

GCSE Higher

John times how long it takes him to run around Hazelnut Park each Friday afternoon. The last three weeks his times, rounded to the nearest minute are $$p, q \; \text{and} \; r$$.

He notices that $$q$$ is 5% more than $$p$$ and $$r$$ is 5% less than $$q$$.

Indicate which of the following statements are true:

(a) $$r \lt p$$ and $$r \lt q$$

(b) $$r \gt p$$ and $$r \gt q$$

(c) $$r = p$$ and $$r \lt q$$

(d) $$p \gt q$$ and $$p = r$$

(e) $$p =q$$ and $$p \gt r$$

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