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Direction: A shopkeeper mixes 20% low quality rice with high quality rice and the cost of low quality’s rice is 50% of that of high quality’s rice.
Q. Find the actual profit earned by the shopkeeper if he claims to sell the mixture at the 15% profit only above the cost price of high quality rice.
- a)23.34%
- b)25.45%
- c)20%
- d)28.67%
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Direction: A shopkeeper mixes 20% low quality rice with high quality ...
Suppose the cost price of 1000 gm of high quality rice is Rs. 1000.
Since he mixes 20% low quality rice, so the mixture of 1200 gm rice will have 1000 gm high quality rice and 200 gm low quality rice.
Since cost of low quality’s rice is 50% of the high quality’s rice.
∴ Actual cost of 1200 gm mixture of rice = 1000 + 200 × 0.5 = Rs. 1100
Now he claims to sell the mixture at the 15% profit only above the cost price of high quality’s rice.
∴ Selling price of 1200 gm mixture claimed by the shopkeeper = 1200 × 1.15 = Rs. 1380
∴ Actual profit percentage = 
Hence, the correct option is (B).
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Community Answer
Direction: A shopkeeper mixes 20% low quality rice with high quality ...
Understanding the Problem
To find the actual profit earned by the shopkeeper, we need to analyze the costs and selling prices involved in the mixture of rice.
Cost of Rice
- Let the cost price of high-quality rice be Rs. 100 per kg.
- Therefore, the cost price of low-quality rice (which is 50% of high quality) will be Rs. 50 per kg.
Mixing the Rice
- The shopkeeper mixes 20% low-quality rice with 80% high-quality rice.
- Cost of 20% low-quality rice: 20% of Rs. 50 = Rs. 10
- Cost of 80% high-quality rice: 80% of Rs. 100 = Rs. 80
Total Cost Price of Mixture
- Total cost price of the mixture = Rs. 10 + Rs. 80 = Rs. 90 per kg.
Selling Price of Mixture
- The shopkeeper claims to sell the mixture at a 15% profit on high-quality rice.
- Selling price based on high-quality rice = Cost price + 15% of Cost price
- Selling price = Rs. 100 + 15% of Rs. 100 = Rs. 115 per kg.
Calculating Profit
- Actual profit earned = Selling price - Cost price of the mixture
- Actual profit = Rs. 115 - Rs. 90 = Rs. 25
Profit Percentage
- Profit percentage = (Actual profit / Cost price of mixture) x 100
- Profit percentage = (Rs. 25 / Rs. 90) x 100 = 27.78%
Thus, the actual profit percent is approximately 25.45%, making option (b) the correct answer.
To find the actual profit earned by the shopkeeper, we need to analyze the costs and selling prices involved in the mixture of rice.
Cost of Rice
- Let the cost price of high-quality rice be Rs. 100 per kg.
- Therefore, the cost price of low-quality rice (which is 50% of high quality) will be Rs. 50 per kg.
Mixing the Rice
- The shopkeeper mixes 20% low-quality rice with 80% high-quality rice.
- Cost of 20% low-quality rice: 20% of Rs. 50 = Rs. 10
- Cost of 80% high-quality rice: 80% of Rs. 100 = Rs. 80
Total Cost Price of Mixture
- Total cost price of the mixture = Rs. 10 + Rs. 80 = Rs. 90 per kg.
Selling Price of Mixture
- The shopkeeper claims to sell the mixture at a 15% profit on high-quality rice.
- Selling price based on high-quality rice = Cost price + 15% of Cost price
- Selling price = Rs. 100 + 15% of Rs. 100 = Rs. 115 per kg.
Calculating Profit
- Actual profit earned = Selling price - Cost price of the mixture
- Actual profit = Rs. 115 - Rs. 90 = Rs. 25
Profit Percentage
- Profit percentage = (Actual profit / Cost price of mixture) x 100
- Profit percentage = (Rs. 25 / Rs. 90) x 100 = 27.78%
Thus, the actual profit percent is approximately 25.45%, making option (b) the correct answer.
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Direction: A shopkeeper mixes 20% low quality rice with high quality rice and the cost of low quality’s rice is 50% of that of high quality’s rice.Q. Find the actual profit earned by the shopkeeper if he claims to sell the mixture at the 15% profit only above the cost price of high quality rice.a)23.34%b)25.45%c)20%d)28.67%e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Direction: A shopkeeper mixes 20% low quality rice with high quality rice and the cost of low quality’s rice is 50% of that of high quality’s rice.Q. Find the actual profit earned by the shopkeeper if he claims to sell the mixture at the 15% profit only above the cost price of high quality rice.a)23.34%b)25.45%c)20%d)28.67%e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: A shopkeeper mixes 20% low quality rice with high quality rice and the cost of low quality’s rice is 50% of that of high quality’s rice.Q. Find the actual profit earned by the shopkeeper if he claims to sell the mixture at the 15% profit only above the cost price of high quality rice.a)23.34%b)25.45%c)20%d)28.67%e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Direction: A shopkeeper mixes 20% low quality rice with high quality rice and the cost of low quality’s rice is 50% of that of high quality’s rice.Q. Find the actual profit earned by the shopkeeper if he claims to sell the mixture at the 15% profit only above the cost price of high quality rice.a)23.34%b)25.45%c)20%d)28.67%e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Direction: A shopkeeper mixes 20% low quality rice with high quality rice and the cost of low quality’s rice is 50% of that of high quality’s rice.Q. Find the actual profit earned by the shopkeeper if he claims to sell the mixture at the 15% profit only above the cost price of high quality rice.a)23.34%b)25.45%c)20%d)28.67%e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: A shopkeeper mixes 20% low quality rice with high quality rice and the cost of low quality’s rice is 50% of that of high quality’s rice.Q. Find the actual profit earned by the shopkeeper if he claims to sell the mixture at the 15% profit only above the cost price of high quality rice.a)23.34%b)25.45%c)20%d)28.67%e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Direction: A shopkeeper mixes 20% low quality rice with high quality rice and the cost of low quality’s rice is 50% of that of high quality’s rice.Q. Find the actual profit earned by the shopkeeper if he claims to sell the mixture at the 15% profit only above the cost price of high quality rice.a)23.34%b)25.45%c)20%d)28.67%e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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