Study the following graph and answer the given question. The graph shows the number of articles sold in a week by different shops. | Shop | Articles sold | |---|---| | A | 1500 | | B | 1250 | | C | 1500 | | D | 1750 | | E | 1000 | What percentage of articles did shop C sell more than shop B?

Study the following graph and answer the given question. The g... | Mathematics MCQ

MathematicsPrevious Year Paper 2024

Study the following graph and answer the given question. The graph shows the number of articles sold in a week by different shops.

Shop	Articles sold
A	1500
B	1250
C	1500
D	1750
E	1000

What percentage of articles did shop C sell more than shop B? Diagram

10%

20%

25%

30%

Correct Answer

📐 MA • Math Direct FormulaMathematicsPrevious Year Paper 2024

Option A

10%

Quick Summary:

Find the difference between shop C and shop B (1500 - 1250 = 250). Then calculate what percentage 250 is of shop B's sales (1250), which is $\frac{250}{1250} \times 100 = 20\%$ .

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📐MAMath SolutionDirect Formula

📋 Given

Number of articles sold by shop B = 1250, Number of articles sold by shop C = 1500

🔢 Formula Used

Percentage more=Articles in C−Articles in BArticles in B×100\text{Percentage more} = \frac{\text{Articles in C} - \text{Articles in B}}{\text{Articles in B}} \times 100Percentage more=Articles in BArticles in C−Articles in B​×100

⚡ Exam Hall Shortcut / Speed Trick

Find the difference between shop C and shop B (1500 - 1250 = 250). Then calculate what percentage 250 is of shop B's sales (1250), which is $\frac{250}{1250} \times 100 = 20\%$ .

⚠️ Common Student Trap / Pitfall

Using shop C's value in the denominator instead of shop B's value. The question asks how much more shop C sold than shop B, so shop B's value (1250) is the base.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Step 1: Identify values from graph

From the given bar graph, the number of articles sold by shop B is $1250$ and by shop C is $1500$ .

Shop B=1250,Shop C=1500\text{Shop B} = 1250, \quad \text{Shop C} = 1500Shop B=1250,Shop C=1500

Step 2: Calculate the difference in sales

Find how many more articles shop C sold than shop B by subtracting shop B's sales from shop C's sales.

Difference=1500−1250=250\text{Difference} = 1500 - 1250 = 250Difference=1500−1250=250

Step 3: Apply percentage formula

Calculate the percentage increase relative to shop B's sales using the formula: $\text{Percentage more} = \frac{\text{Difference}}{\text{Shop B sales}} \times 100$

Percentage=2501250×100=15×100=20%\text{Percentage} = \frac{250}{1250} \times 100 = \frac{1}{5} \times 100 = 20\%Percentage=1250250​×100=51​×100=20%

✅

A is correct because shop C sold 250 more articles than shop B, which is $\frac{250}{1250} \times 100 = 20\%$ more than shop B.

Core Concepts Used

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Bar Graph Interpretation Percentage Increase Calculation Relative Comparison

💡 EXAM TIP

Always ensure the denominator is the base value of the entity being compared against (i.e., 'than shop B' implies shop B is in the denominator).

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