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URL: https://nakafa.com/en/exercises/high-school/snbt/general-reasoning/try-out/2026/set-2/5

Exercises: Try Out 2026 - Set 2: Real exam simulation to sharpen your skills and build confidence. - Problem 5

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## Exercise 5

### Question

import { SalesChart } from "../chart";

export const metadata = {
  title: "Problem 5",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "01/01/2026",
};

Consider the following sales chart!

<SalesChart lang="en" />

| Item | <InlineMath math="2011" /> | <InlineMath math="2012" /> | <InlineMath math="2013" /> | <InlineMath math="2014" /> | <InlineMath math="2015" /> |
| :--- | :---: | :---: | :---: | :---: | :---: |
| Shirts | <InlineMath math="50" /> | <InlineMath math="35" /> | <InlineMath math="20" /> | <InlineMath math="70" /> | <InlineMath math="55" /> |
| Pants | <InlineMath math="60" /> | <InlineMath math="60" /> | <InlineMath math="50" /> | <InlineMath math="40" /> | <InlineMath math="40" /> |
| Suits | <InlineMath math="40" /> | <InlineMath math="55" /> | <InlineMath math="45" /> | <InlineMath math="60" /> | <InlineMath math="50" /> |

The smallest percentage decrease was experienced by the sales of...


### Choices

- [ ] Shirts in $$2011\text{-}2012$$
- [x] Suits in $$2014\text{-}2015$$
- [ ] Shirts in $$2012\text{-}2013$$
- [ ] Suits in $$2012\text{-}2013$$
- [ ] Pants in $$2013\text{-}2014$$

### Answer & Explanation

export const metadata = {
  title: "Explanation for Problem 5",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "01/01/2026",
};

We need to calculate the percentage decrease for each option.
The formula for percentage decrease is:

<MathContainer>
  <BlockMath math="\text{Percentage Decrease} = \frac{\text{Initial Value} - \text{Final Value}}{\text{Initial Value}} \times 100\%" />
</MathContainer>

1. **Shirts in <InlineMath math="2011" />—<InlineMath math="2012" />:**
   - Value <InlineMath math="2011" /> = <InlineMath math="50" />
   - Value <InlineMath math="2012" /> = <InlineMath math="35" />
   - Decrease = <InlineMath math="\frac{50 - 35}{50} \times 100\% = \frac{15}{50} \times 100\% = 30\%" />

2. **Suits in <InlineMath math="2014" />—<InlineMath math="2015" />:**
   - Value <InlineMath math="2014" /> = <InlineMath math="60" />
   - Value <InlineMath math="2015" /> = <InlineMath math="50" />
   - Decrease = <InlineMath math="\frac{60 - 50}{60} \times 100\% = \frac{10}{60} \times 100\% = 16.67\%" />

3. **Shirts in <InlineMath math="2012" />—<InlineMath math="2013" />:**
   - Value <InlineMath math="2012" /> = <InlineMath math="35" />
   - Value <InlineMath math="2013" /> = <InlineMath math="20" />
   - Decrease = <InlineMath math="\frac{35 - 20}{35} \times 100\% = \frac{15}{35} \times 100\% \approx 42.86\%" />

4. **Suits in <InlineMath math="2012" />—<InlineMath math="2013" />:**
   - Value <InlineMath math="2012" /> = <InlineMath math="55" />
   - Value <InlineMath math="2013" /> = <InlineMath math="45" />
   - Decrease = <InlineMath math="\frac{55 - 45}{55} \times 100\% = \frac{10}{55} \times 100\% \approx 18.18\%" />

5. **Pants in <InlineMath math="2013" />—<InlineMath math="2014" />:**
   - Value <InlineMath math="2013" /> = <InlineMath math="50" />
   - Value <InlineMath math="2014" /> = <InlineMath math="40" />
   - Decrease = <InlineMath math="\frac{50 - 40}{50} \times 100\% = \frac{10}{50} \times 100\% = 20\%" />

From the calculations above, the smallest percentage decrease is **Suits in <InlineMath math="2014" />—<InlineMath math="2015" />**, which is **<InlineMath math="16.67\%" />**.


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