Three car models have prices in a 4:5:7 ratio. If the most and least expensive cars differ by Rs. 60000, what is the price of the moderately priced car:
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Answer: B. Rs. 100000
Explanation
Representing the car prices as four x, five x, and seven x establishes their proportional relationship. Subtracting four x from seven x gives a price difference of three x equal to sixty thousand. Solving for x gives twenty thousand, making the moderate price five times twenty thousand or one hundred thousand. Ratio terms can be multiplied by an unknown variable to represent actual monetary values. The difference between extremes in a proportional set corresponds directly to the subtraction of their ratio coefficients. Linear equations allow solving for scaling variables when a specific absolute difference is provided.
Automotive dealerships price vehicle models using tiered ratios based on features and engine sizes. Corporate budget allocation uses proportional ratios to distribute funds across different department tiers. Manufacturing companies price product lines proportionally to maintain consistent profit margins across models. Option a represents a lower price point corresponding to an incorrect value of the scaling variable. Option c calculates the price of the most expensive car rather than the moderately priced one. Option d overestimates the price by applying a larger scaling factor than the arithmetic permits.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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