Comprehension

The following table gives the sales details for text books and reference books at Primary/Secondary/Higher Secondary/Graduate Levels.  

Question: 1

What is the growth rate of sales of books at primary school level from 1975 to 1980?

Show Hint

When finding growth rate, ensure you divide the increase by the initial value, not the final value. Always compare your computed value to each option to eliminate wrong answers.
Updated On: Aug 5, 2025
  • 29%
  • 51%
  • 63%
  • 163%
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation

We are given:
Primary sales in 1975 = $42137$
Primary sales in 1980 = $68718$
Formula for growth rate:
\[ \text{Growth Rate} = \frac{\text{Final} - \text{Initial}}{\text{Initial}} \times 100 \]
Substituting:
\[ \text{Growth Rate} = \frac{68718 - 42137}{42137} \times 100 \]
\[ = \frac{26581}{42137} \times 100 \]
Now, divide:
$26581 \div 42137 \approx 0.6308$
Multiply by 100:
$0.6308 \times 100 \approx 63.08%$
Thus, the growth rate is approximately $63%$.
Checking incorrect options:
(A) 29% — much lower than the calculated value, hence incorrect.
(B) 51% — also lower than the exact 63%, so incorrect.
(D) 163% — would imply the sales more than doubled, which is far from the actual increase.
\(\boxed{\text{Correct Answer: (C) 63%}}\)
Was this answer helpful?
0
0
Question: 2

Which of the categories shows the lowest growth rate from 1975 to 1980?

Show Hint

Always compute all category growth rates before concluding the smallest or largest. Estimating by eye can be misleading.
Updated On: Aug 5, 2025
  • Primary
  • Secondary
  • Higher secondary
  • Graduate Level
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation

We calculate growth rate for each category:
Primary: Initial = $42137$, Final = $68718$
Growth = $\frac{68718 - 42137}{42137} \times 100 \approx 63.08%$
Secondary: Initial = $8820$, Final = $20177$
Growth = $\frac{20177 - 8820}{8820} \times 100 \approx 128.74%$
Higher Secondary: Initial = $65303$, Final = $82175$
Growth = $\frac{82175 - 65303}{65303} \times 100 \approx 25.87%$
Graduate: Initial = $25343$, Final = $36697$
Growth = $\frac{36697 - 25343}{25343} \times 100 \approx 44.85%$
Clearly, the smallest growth is $25.87%$ for Higher Secondary.
Checking incorrect options:
(A) Primary — $63.08%$, higher than $25.87%$.
(B) Secondary — $128.74%$, the highest growth rate, so incorrect.
(D) Graduate — $44.85%$, larger than $25.87%$.
\(\boxed{\text{Correct Answer: (C) Higher secondary}}\)
Was this answer helpful?
0
0
Question: 3

Which category had the highest growth rate in the period?

Show Hint

For “highest growth” questions, always rely on calculated values, not just on the magnitude of change in numbers.
Updated On: Aug 5, 2025
  • Primary
  • Secondary
  • Higher secondary
  • Graduate Level
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

From previous calculations:
Primary: $63.08%$
Secondary: $128.74%$
Higher Secondary: $25.87%$
Graduate: $44.85%$
Highest is clearly Secondary with $128.74%$ growth.
Checking incorrect options:
(A) Primary — only $63.08%$, much lower.
(C) Higher Secondary — $25.87%$, the smallest growth rate, not the largest.
(D) Graduate — $44.85%$, also smaller than $128.74%$.
\(\boxed{\text{Correct Answer: (B) Secondary}}\)
Was this answer helpful?
0
0
Question: 4

Which of the categories had either a consistent growth or a consistent decline in the period shown?

Show Hint

To check for consistency, look for monotonic increase or decrease with no reversals in the sequence of values.
Updated On: Aug 5, 2025
  • Primary
  • Secondary
  • Higher secondary
  • Graduate Level
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

We examine year-by-year for each category:
Primary: 42137 $\rightarrow$ 53568 (up) $\rightarrow$ 58770 (up) $\rightarrow$ 56872 (down) — break in trend.
Secondary: 8820 $\rightarrow$ 10285 (up) $\rightarrow$ 16437 (up) $\rightarrow$ 15475 (down) — break in trend.
Higher Secondary: 65303 $\rightarrow$ 71602 (up) $\rightarrow$ 73667 (up) $\rightarrow$ 71668 (down) — break in trend.
Graduate: 25343 $\rightarrow$ 27930 (up) $\rightarrow$ 28687 (up) $\rightarrow$ 30057 (up) $\rightarrow$ 33682 (up) $\rightarrow$ 36697 (up) — consistent growth every year.
Thus, only Graduate Level has consistent growth.
Checking incorrect options:
(A) Primary — one year shows a drop, so not consistent.
(B) Secondary — also has a drop.
(C) Higher Secondary — has a drop after 1977.
\(\boxed{\text{Correct Answer: (D) Graduate Level}}\)
Was this answer helpful?
0
0

Top Questions on Data Interpretation

View More Questions