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Ratio Based Data Interpretation Quiz 41 (1 MCQs)

This set of multiple-choice questions evaluates ratio interpretation, proportional decrease, and numerical computation. It covers scenarios involving price decrease and requires the application of proportional reasoning and ratio calculation to solve problems.

Quiz Instructions

Select an option to see the correct answer instantly.

1. The price of the mobile was rupees 12000. Its price decreased in he ratio 7: 4. What is the decreased price?

Correct Answer: Correct answer is: (D) 6857.15.

Exam Relevance: CAT, GMAT, GRE, SAT

Difficulty: Moderate

Concept notes: The price of the mobile decreased in the ratio 7:4, meaning the original price is 7 parts and the decreased price is 4 parts. We need to find the value of 4 parts given that 7 parts equal 12000 rupees.

Common Mistakes: A common mistake is to incorrectly calculate the ratio or to misinterpret the ratio as a direct subtraction rather than a proportional decrease.

Explanations: 1. The original price of the mobile is 12000 rupees, which corresponds to 7 parts of the ratio. 2. To find the value of one part, we divide the original price by 7: \( \frac{12000}{7} = 1714.2857 \) rupees per part. 3. The decreased price corresponds to 4 parts of the ratio. Therefore, we multiply the value of one part by 4: \( 1714.2857 \times 4 = 6857.1428 \) rupees. 4. Rounding to two decimal places, the decreased price is 6857.15 rupees.

Option Analysis:

Option A: 8857.15 is incorrect because it does not match the calculation based on the given ratio.
Option B: 7857.15 is incorrect because it does not match the calculation based on the given ratio.
Option C: 6867.15 is incorrect because it does not match the calculation based on the given ratio.
Option D: 6857.15 is the correct answer as it matches the calculation based on the given ratio.

Frequently Asked Questions

What is ratio-based data interpretation?

Ratio-based data interpretation involves analyzing data by comparing quantities using ratios to understand relationships and proportions.

How does proportional reasoning apply to ratio-based data interpretation?

Proportional reasoning helps in understanding how changes in one quantity affect another, allowing for accurate predictions and comparisons in ratio-based data interpretation.

What skills are necessary for effective ratio-based data interpretation?

Effective ratio-based data interpretation requires skills in numerical analysis, understanding of ratios, and the ability to apply proportional reasoning to interpret data accurately.

How can ratio-based data interpretation be applied in real-world scenarios?

Ratio-based data interpretation can be used in various fields such as finance, economics, and science to analyze trends, make predictions, and understand relationships between different variables.

What learning outcomes can be expected from studying ratio-based data interpretation?

Studying ratio-based data interpretation can improve analytical skills, enhance understanding of numerical relationships, and develop the ability to make informed decisions based on data.

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