Articles X, Y, and Z have prices in an 8 : 5 : 3 ratio. If prices increase by 25%, 20%, and 33 1/3% respectively, what is the new price ratio?
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Answer: B. 5 : 3 : 2
Explanation
Applying respective percentage increases of twenty five, twenty, and thirty three percent updates the parts. Multiplying eight by one point twenty five gives ten for the first updated article price. Simplifying the new price ratio of ten to six to four results in the final reduced form of five to three to two. Ratio terms scale proportionally when each individual component undergoes a distinct percentage increase. A twenty five percent increase corresponds to multiplying by a factor of one point twenty five. A thirty three and one third percent increase corresponds to multiplying by a factor of four thirds.
Economic index calculations adjust baskets of goods over time as individual item prices inflate. Retail suppliers update wholesale catalog prices across multiple product tiers using varying inflation rates. Investment portfolios rebalance asset classes when individual holdings experience different growth rates. Option a represents an incorrect simplification that does not match the updated price calculations. Option c fails to reduce the intermediate ratio values into their simplest integer form. Option d ignores the individual percentage increases and retains the original price proportions.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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