## Line Graphs Questions - 1

#Directions (Q1 to Q5): Study the following Line Graph carefully and answer the questions given below.

If the profit of company A in 2011 is Rs.250000, then what is the Expenditure ?
• Rs.1000000
• Rs.1500000
• Rs.1050000
• Rs.1250000
• Rs.1200000
Explanation

Expenditure = $\displaystyle \frac{\text{Profit}}{\text{Profit}\%} \times 100 => \frac{250000}{20\%} \times$ 100 = 1250000.

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If the profit of company B in 2012 is Rs.250000, what is the income of the company ?
• Rs.1200000
• Rs.1500000
• Rs.1250000
• Rs.1000000
• Rs.1280000
Explanation

Profit% of company B in 2012 => 20% = 250000.

Let expenditure be 100.

Income = Expenditure + Profit.

Income = 100 + 20% = 120% of the Expenditure.

Income = $\displaystyle \frac{\text{Profit}}{\text{Profit}\%} \times$ 120   (Expenditure + Profit)

=> $\displaystyle \frac{250000}{20} \times$ 120 = 1500000.

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If the income of the companies A and B in 2012 is equal, what is the ratio of their expenditure respectively ?
• 24 : 25
• 25 : 24
• 3 : 4
• 5 : 4
• 4 : 5
Explanation

Ratio of Expenses:

$\displaystyle \frac{\text{A}}{\text{B}} = \frac{100}{125} \times \frac{120}{100} = \frac{12000}{12500} = \frac{24}{25}$

A : B = 24 : 25.

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If the profit received by both the companies A and B is equal in 2012, what is the ratio of their Incomes ?
• 25 : 24
• 24 : 25
• 3 : 4
• 5 : 4
• 4 : 5
Explanation

Profit % in 2012 => Company A = 25%, B = 20%.

Or 25% of A = 20% of B.

Percent to value inverse proportion.

Then value of A and B will be in 25 : 20 => inverse 20 : 25 or 4 : 5.

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What is the percentage increase in profit of company A from 2012 to 2013 ?
• 60%
• 25%
• 50%
• 150%
• 25%
Explanation

Percentage of profit in 2012 = 20%: 2013 = 30%.

Difference = 30% - 20% = 10%.

Increase % = $\displaystyle \frac{10}{20} \times$ 100 = 50%.

Workspace
#Directions (Q6 to Q10): Study the following Graph carefully and answer the questions given below.

What is the percentage of the candidates qualified in the year 2010 ?
• 50%
• 55%
• 60%
• 70%
• 75%
Explanation

Qualified = 3500; Appeared = 5000.

Pass % = $\displaystyle \frac{3500}{5000} \times$ 100 = 70%.

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What is the approximate difference between the pass percentage from 2010 to 2011 ?
• 18%
• 36%
• 33%
• 33.33%
• 36.67%
Explanation

In 2010 = $\displaystyle \frac{3500}{5000} \times$ 100 = 70%.

In 2011 = $\displaystyle \frac{2000}{6000} \times$ 100 = 33.33%.

Difference in percentage = 70% - 33.33% = 36.67%.

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In which year was the highest pass percentage recorded ?
• 2010
• 2011
• 2012
• 2013
• 2014
Explanation

Pass percentages:

2010 = $\displaystyle \frac{3500}{5000} \times$ 100 = 70%.

2011 = $\displaystyle \frac{2000}{6000} \times$ 100 = 33.33%.

2012 = $\displaystyle \frac{2000}{4000} \times$ 100 = 50%.

2013 = $\displaystyle \frac{3000}{7000} \times$ 100 = 42.85%.

2014 = $\displaystyle \frac{4000}{5500} \times$ 100 = 72.72%.

2015 = $\displaystyle \frac{3000}{7000} \times$ 100 = 42.85%.

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What is the average pass percentage, over the given years? (Rounded off)
• 45%
• 48%
• 50%
• 54%
• 55%
Explanation

Total number of qualified candidates: 3500 + 2000 + 2000 + 3000 + 4000 + 3000 = 17500.

Total number of candidates appeared: 5000 + 6000 + 4000 + 7000 + 5500 + 7000 = 34500.

Pass % = $\displaystyle \frac{17500}{34500} \times$ 100 = 50.72% or 50%.

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What is the approximate increase/decrease in pass% from 2010 to 2015 ?
• 28% Increase
• 27% decrease
• 32% Decrease
• 28% Decrease
• 25% decrease
Explanation

Appeared in 2010 = 5000; Qualified = 3500.

Pass % = $\displaystyle \frac{3500}{5000} \times$ 100 = 70%.

Appeared in 2015 = 7000; qualified = 3000.

Pass % = $\displaystyle \frac{3000}{7000} \times$ 100 = 42.85%.

70% - 42.85% = 27.14% or 27%.

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