Comprehension
Analyse the graph/s given below and answer the question that follows.
Question: 1
If the imports of company A in Year VI were Rs. 10.40 crore, what were the exports of company A in the same year?
If the imports of company A in Year VI were Rs. 10.40 crore, what were the exports of company A in the same year?
Show Hint
To solve ratio problems, set up the equation and solve for the unknown variable.
Updated On: Mar 7, 2025
- 13 crore
- 12.75 crore
- 12.50 crore
- None of these
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The Correct Option is A
Solution and Explanation
- From the graph, the ratio of imports to exports for company A in Year VI is 0.8.
- We are given that the imports in Year VI are Rs. 10.40 crore.
- The ratio of imports to exports is given by:
\[
\text{Ratio} = \frac{\text{Imports}}{\text{Exports}} = 0.8
\]
- Let the exports be \( x \). Thus, we have:
\[
\frac{10.40}{x} = 1.2 \implies x = \frac{10.40}{0.8} = 13 \text{ crore}.
\]
Thus, the correct answer is 13 crore, corresponding to option (A).
Thus, the correct answer is 13 crore, corresponding to option (A).
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Question: 2
It is supposed that Imports – Exports = x for company A in Year I and the imports of company A in Year I were Rs. 3.6 crore, and it is also supposed that Imports – Exports = a for company B in Year V and the exports of company B in Year V were Rs. 5 crore. What is the relationship between a and x?
It is supposed that Imports – Exports = x for company A in Year I and the imports of company A in Year I were Rs. 3.6 crore, and it is also supposed that Imports – Exports = a for company B in Year V and the exports of company B in Year V were Rs. 5 crore. What is the relationship between a and x?
Show Hint
When solving ratio problems involving imports and exports, always isolate the unknown variable and solve for it accordingly.
Updated On: Mar 7, 2025
- \( x > a \)
- \( x = a \)
- \( a > x \)
- None of these
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The Correct Option is C
Solution and Explanation
- For company A, \( x = \text{Imports} - \text{Exports} \) in Year I. The ratio is given by:
\[
\frac{0.6}{3.6} = \frac{1}{E} = 0.6
\]
Solving for \( E \), we get \( E = 6 \). So, \( x = 3.6 - 6 = -2.4 \).
- For company B, \( a = \text{Imports} - \text{Exports} \) in Year V. The ratio is given by: \[ \frac{1.2}{1} = \frac{1}{E} = 1.2 \] Solving for \( E \), we get \( E = 5 \). So, \( a = 6 - 5 = 1 \).
Clearly, \( a > x \), since \( 1 > -2.4 \). Thus, the correct answer is \( a > x \), corresponding to option (C).
- For company B, \( a = \text{Imports} - \text{Exports} \) in Year V. The ratio is given by: \[ \frac{1.2}{1} = \frac{1}{E} = 1.2 \] Solving for \( E \), we get \( E = 5 \). So, \( a = 6 - 5 = 1 \).
Clearly, \( a > x \), since \( 1 > -2.4 \). Thus, the correct answer is \( a > x \), corresponding to option (C).
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Question: 3
If the exports of company B in Year III were Rs. 2.19 crore, what were the imports of company B in the same year?
If the exports of company B in Year III were Rs. 2.19 crore, what were the imports of company B in the same year?
Show Hint
When solving ratio problems involving imports and exports, always isolate the unknown variable and solve for it accordingly.
Updated On: Mar 7, 2025
- 3.65 crore
- 7.40 crore
- 1.314 crore
- 1.414 crore
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The Correct Option is C
Solution and Explanation
- The formula for imports is given by:
\[
\text{Imports} = 0.6 \times \text{Exports}
\]
Given that the exports of company B are Rs. 2.19 crore, we can substitute this value into the formula:
\[
\text{Imports} = 0.6 \times 2.19 = 1.314 \text{ crore}
\]
Thus, the correct answer is 1.314 crore, corresponding to option (C).
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Question: 4
If the imports of company A in Year V were Rs. 8.40 crore, what were the exports of company B in Year VII?
If the imports of company A in Year V were Rs. 8.40 crore, what were the exports of company B in Year VII?
Show Hint
When solving ratio problems, ensure you have all the required data points to compute the unknowns. If any key information is missing, the solution will be incomplete.
Updated On: Mar 7, 2025
- 6 crore
- 7.40 crore
- 7.20 crore
- Data inadequate
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The Correct Option is D
Solution and Explanation
- From the given graph, the ratio of imports to exports for company A in Year V is \( 1.4 \).
- The formula for the ratio is:
\[
\frac{\text{Imports}}{\text{Exports}} = 1.4
\]
- We are given that the imports of company A in Year V were Rs. 8.40 crore. However, the problem asks for the exports of company B in Year VII.
- The ratio for company B in Year VII is \( 0.8 \) (from the graph).
- But we don’t have enough data regarding the imports of company B in Year VII to calculate the exports of company B in Year VII directly.
- Therefore, the data is inadequate to determine the exports of company B.
Thus, the correct answer is Data inadequate.
- The ratio for company B in Year VII is \( 0.8 \) (from the graph).
- But we don’t have enough data regarding the imports of company B in Year VII to calculate the exports of company B in Year VII directly.
- Therefore, the data is inadequate to determine the exports of company B.
Thus, the correct answer is Data inadequate.
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