Unit-rate conversion — quarter kilogram to grams If 1/4 kg costs Rs 0.60, what is the price for 200 g?
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A40 paise
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B48 paise
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C50 paise
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D60 paise
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E45 paise
Answer
Correct Answer: 48 paise
Explanation
Introduction / Context:This question tests proportional reasoning when converting between kilograms and grams. Once the per-gram cost is determined (or scaled proportionally), we can compute the price for 200 g directly.
Given Data / Assumptions:
- Cost of 1/4 kg (250 g) = Rs 0.60.
- Find the cost for 200 g.
- Price varies linearly with weight (uniform unit price).
Concept / Approach:Use direct proportion: cost is proportional to weight. Either compute per-gram price or scale 200 g as a fraction of 250 g.
Step-by-Step Solution:250 g costs 60 paise.200 g is (200/250) = 0.8 of 250 g.So cost for 200 g = 0.8 × 60 paise = 48 paise.
Verification / Alternative check:Per-gram price = 60/250 = 0.24 paise per gram. For 200 g: 200 × 0.24 = 48 paise (confirms).
Why Other Options Are Wrong:40 or 45 paise underestimate; 50 or 60 paise overestimate relative to proportional scaling.
Common Pitfalls:Mixing rupees and paise or confusing 1/4 kg with 200 g. Note 1/4 kg = 250 g, not 200 g.
Final Answer:48 paise