10 kg of apples equal 24 kg of rice in cost. 6 kg of flour equals 2 kg of rice, with flour at Rs. 20.50 per kg. Find the total cost for 4 kg apples, 3 kg rice, and 5 kg flour.
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Answer: B. Rs.877.40
Explanation
Using the given flour price of twenty point 50 per kg, we determine the cost of rice and apples through the stated weight ratios. Computing individual item costs for four kg of apples, three kg of rice, and five kg of flour gives exact monetary values. Summing all the individual item costs together results in a total expenditure of eight hundred seventy-seven point forty. Commodity ratio problems require establishing a chain of equivalence between different goods based on cost and weight. Step-by-step substitution allows complex multi-item shopping lists to be resolved into a single total cost. Total cost equals the sum of the quantities of each item multiplied by their respective unit prices.
Option A underestimates the total cost by miscalculating the proportional price ratios between apples and rice. Option C overestimates the total cost due to an arithmetic error in the individual item multiplication steps. Option D results in a lower sum that fails to account for the correct weight-to-cost equivalence of the goods.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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