An item's price rises 30% in year one, drops 20% in year two, and climbs 10% in year three. If the final price is Rs. 2288, what was the initial price?
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Answer: C. Rs. 2000
Explanation
Representing the initial price as P allows setting up sequential percentage multipliers for each year. Multiplying the initial price by one point thirty, zero point eighty, and one point ten equals the final price. Solving the resulting linear equation isolates the initial price variable at two thousand rupees. Successive percentage changes are modeled by multiplying the base value by cumulative decimal factors. An increase of thirty percent corresponds to a multiplier of one point thirty. A decrease of twenty percent corresponds to a multiplier of zero point eighty in financial math.
Investors track multi year asset price fluctuations using compound percentage growth and decline formulas. Inflation calculations require evaluating sequential price changes across multiple consecutive years. Business forecasting utilizes cumulative percentage models to project future inventory valuations. Option A suggests fifteen hundred which underestimates the initial price required to reach the total. Option B proposes eighteen hundred which fails to satisfy the three year percentage multiplier product. Option D offers twenty four hundred which overestimates the starting valuation of the asset.
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