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A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make 25% overall profit?
  • a)
    Rs.54
  • b)
     Rs.50
  • c)
    Rs.40
  • d)
    Rs.30
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sol...
Total CP of Rice = 30 * 40 = 1200
40% of Total Quantity = 40% of 30 = 12
SP = 12*50 = 600
SP = 1200 * 125/100 = 1500
SP of Remaining Quantity = 1500 – 600 = 900
Remaining Quantity = 18kg
Rice per Kg = 900/18 = Rs. 50
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Most Upvoted Answer
A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sol...
Total CP of Rice = 30 * 40 = 1200
40% of Total Quantity = 40% of 30 = 12
SP = 12*50 = 600
SP = 1200 * 125/100 = 1500
SP of Remaining Quantity = 1500 – 600 = 900
Remaining Quantity = 18kg
Rice per Kg = 900/18 = Rs. 50
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Community Answer
A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sol...
Given:
- Quantity of rice bought = 30 kg
- Rate of rice = Rs. 40 per kg
- Quantity sold = 40% of 30 kg = 12 kg
- Rate at which 12 kg of rice sold = Rs. 50 per kg
- Overall profit required = 25%

To find:
- Price per kg at which remaining rice should be sold to make 25% overall profit

Approach:
- Calculate the cost price of 30 kg of rice
- Calculate the selling price of 12 kg of rice
- Calculate the cost price of remaining 18 kg of rice
- Calculate the selling price required for 18 kg of rice to make 25% overall profit
- Calculate the price per kg at which 18 kg of rice should be sold

Solution:
1. Cost price of 30 kg of rice = 30 kg x Rs. 40/kg = Rs. 1200

2. Selling price of 12 kg of rice = 12 kg x Rs. 50/kg = Rs. 600

3. Cost price of remaining 18 kg of rice = Rs. 1200 - Rs. 600 = Rs. 600

4. Let the selling price of 18 kg of rice be x Rs/kg, then:
- Total selling price of rice = Rs. 600 + 18 kg x Rs. x = Rs. 1200 x 1.25 (25% profit required)
- Solving for x, we get:
x = Rs. 50/kg

5. Therefore, the price per kg at which remaining 18 kg of rice should be sold to make 25% overall profit is Rs. 50/kg.

Hence, the correct option is (b) Rs. 50.
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A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make 25% overall profit?a)Rs.54b)Rs.50c)Rs.40d)Rs.30e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make 25% overall profit?a)Rs.54b)Rs.50c)Rs.40d)Rs.30e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make 25% overall profit?a)Rs.54b)Rs.50c)Rs.40d)Rs.30e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make 25% overall profit?a)Rs.54b)Rs.50c)Rs.40d)Rs.30e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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