Comprehension
Go through the pie chart/s given below and answer the question that follows.
Question: 1
Which of the following color options consists of 50% of all the cycles?
Which of the following color options consists of 50% of all the cycles?
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In percentage-based questions involving pie charts, simply add up the relevant percentages to verify the desired sum.
Updated On: Mar 7, 2025
- Black, Golden, Blue, Red
- Blue, Black, Red, Silver
- White, Golden, Blue, Black
- None of these
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The Correct Option is C
Solution and Explanation
From the pie chart, we have the following percentages of each cycle color:
- Black: 5%
- Golden: 6%
- Blue: 13%
- Red: 19%
- Yellow: 10%
- White: 26%
- Silver: 10%
- Green: 9%
- Brown: 2%
Now, let's add the percentages of White, Golden, Blue, and Black:
\[
5% + 6% + 13% + 26% = 50%
\]
Thus, White, Golden, Blue, Black together make up 50% of all cycles.
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Question: 2
Cycles of which colour when increased by two percent and then combined with that of red cycles will make 30 percent of the total?
Cycles of which colour when increased by two percent and then combined with that of red cycles will make 30 percent of the total?
Show Hint
When dealing with percentage increase problems, set up an equation that represents the total percentage, and solve for the unknown.
Updated On: Mar 7, 2025
- Golden
- Blue
- Black
- None of these
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The Correct Option is D
Solution and Explanation
- From the given pie chart, the percentage of red cycles is \( 19% \).
- Let the percentage of the required colour be \( x \), and the condition in the problem says this percentage is increased by 2 percent.
- After increasing the percentage of the required colour by 2%, the total percentage of the red and this colour will become \( 30% \). - Therefore, the equation will be:
\[ x + 2 + 19 = 30 \] - Simplifying the equation: \[ x + 21 = 30 \] \[ x = 30 - 21 = 9 \] - So, the percentage of the required colour is \( 9% \).
- From the pie chart, we can see that the colour with 9 cycles is Green. Thus, the correct answer is Green.
Thus, the correct answer is Green.
- Let the percentage of the required colour be \( x \), and the condition in the problem says this percentage is increased by 2 percent.
- After increasing the percentage of the required colour by 2%, the total percentage of the red and this colour will become \( 30% \). - Therefore, the equation will be:
\[ x + 2 + 19 = 30 \] - Simplifying the equation: \[ x + 21 = 30 \] \[ x = 30 - 21 = 9 \] - So, the percentage of the required colour is \( 9% \).
- From the pie chart, we can see that the colour with 9 cycles is Green. Thus, the correct answer is Green.
Thus, the correct answer is Green.
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Question: 3
If in a certain period the total production of all cycles was 95,400, then how many more blue cycles were sold than green?
If in a certain period the total production of all cycles was 95,400, then how many more blue cycles were sold than green?
Show Hint
To find the number of items based on a percentage, multiply the percentage by the total number of items and divide by 100.
Updated On: Mar 7, 2025
- 2,580
- 3,618
- 2,850
- 3,816
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The Correct Option is D
Solution and Explanation
- The total production of all cycles is given as 95,400.
- From the pie chart, the percentage of blue cycles is \( 13% \) and the percentage of green cycles is \( 9% \).
- To find how many blue cycles were sold, we calculate \( 13% \) of 95,400:
\[
\frac{13}{100} \times 95,400 = 12,402
\]
- Similarly, to find how many green cycles were sold, we calculate \( 9% \) of 95,400:
\[
\frac{9}{100} \times 95,400 = 8,586
\]
- The difference between the number of blue and green cycles sold is:
\[
12,402 - 8,586 = 2,850
\]
Thus, the correct answer is 3,816.
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Question: 4
Cycles of which colour are 20% less popular than white coloured cycles directly in percentage?
Cycles of which colour are 20% less popular than white coloured cycles directly in percentage?
Show Hint
In percentage comparison problems, calculate the difference based on the given percentage change directly.
Updated On: Mar 7, 2025
- Black
- Golden
- Blue
- Red
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The Correct Option is B
Solution and Explanation
- From the pie chart, we observe that the percentage of white cycles is 26%.
- Since golden coloured cycles are 20% less popular than white cycles, we calculate the percentage for golden coloured cycles as follows:
\[
26% - 20% = 6%
\]
- Therefore, golden coloured cycles make up 6% of the total.
Thus, the correct answer is Golden, which corresponds to option (B).
Thus, the correct answer is Golden, which corresponds to option (B).
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