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As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What Was the Original price of rice per kg?
- a)Rs. 30
- b)Rs. 40
- c)Rs. 50
- d)Rs. 60
Correct answer is option 'B'. Can you explain this answer?
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As a result of 25% hike in the price of rice per kg, a person is able ...
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As a result of 25% hike in the price of rice per kg, a person is able ...
Given:
- A 25% hike in the price of rice per kg
- A person is able to purchase 6 kg less rice for Rs. 1,200
To find:
- The original price of rice per kg
Solution:
Let the original price of rice per kg be x
After the price hike, the new price of rice per kg will be:
x + 0.25x = 1.25x
According to the problem, the person is able to purchase 6 kg less rice for Rs. 1,200.
Let y be the quantity of rice the person was able to purchase before the price hike.
Then,
- Before the price hike, the cost of y kg of rice was xy rupees
- After the price hike, the cost of (y - 6) kg of rice is 1200 rupees
We can now write an equation based on the above information:
xy = 1.25x(y - 6) + 1200
Simplifying this equation, we get:
xy = 1.25xy - 7.5x + 1200
0.25xy = 7.5x - 1200
xy = 30x
y = 30
Therefore, the person was able to purchase 30 kg of rice before the price hike.
Now, we can calculate the original price of rice per kg:
xy = 30x
30x = 1200
x = 40
Hence, the original price of rice per kg was Rs. 40.
Answer: Option B
- A 25% hike in the price of rice per kg
- A person is able to purchase 6 kg less rice for Rs. 1,200
To find:
- The original price of rice per kg
Solution:
Let the original price of rice per kg be x
After the price hike, the new price of rice per kg will be:
x + 0.25x = 1.25x
According to the problem, the person is able to purchase 6 kg less rice for Rs. 1,200.
Let y be the quantity of rice the person was able to purchase before the price hike.
Then,
- Before the price hike, the cost of y kg of rice was xy rupees
- After the price hike, the cost of (y - 6) kg of rice is 1200 rupees
We can now write an equation based on the above information:
xy = 1.25x(y - 6) + 1200
Simplifying this equation, we get:
xy = 1.25xy - 7.5x + 1200
0.25xy = 7.5x - 1200
xy = 30x
y = 30
Therefore, the person was able to purchase 30 kg of rice before the price hike.
Now, we can calculate the original price of rice per kg:
xy = 30x
30x = 1200
x = 40
Hence, the original price of rice per kg was Rs. 40.
Answer: Option B
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Community Answer
As a result of 25% hike in the price of rice per kg, a person is able ...
Expenditure = Rs. 1200
Change in price = 25% increase
Change in quantity = 6 kg less bought
Calculations -
Let person X buy 6kg rice for Rs. 1200
Now,
New price - 1200*(125/100) = 1500
Hike lead to reduce the quantity (X-6) kg
Difference of Rs. 300 = difference in quantity 6kg
=> 6 kg = 300
=> 1 kg = 50
Rs. 50 is hiked priced and original price is asked
=> 125% = 5
=> 100% = 50*(100/125) = 40
The original price of rice per kg is Rs. 40
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As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What Was the Original price of rice per kg?a)Rs. 30b)Rs. 40c)Rs. 50d)Rs. 60Correct answer is option 'B'. Can you explain this answer?
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As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What Was the Original price of rice per kg?a)Rs. 30b)Rs. 40c)Rs. 50d)Rs. 60Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What Was the Original price of rice per kg?a)Rs. 30b)Rs. 40c)Rs. 50d)Rs. 60Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What Was the Original price of rice per kg?a)Rs. 30b)Rs. 40c)Rs. 50d)Rs. 60Correct answer is option 'B'. Can you explain this answer?.
As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What Was the Original price of rice per kg?a)Rs. 30b)Rs. 40c)Rs. 50d)Rs. 60Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What Was the Original price of rice per kg?a)Rs. 30b)Rs. 40c)Rs. 50d)Rs. 60Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What Was the Original price of rice per kg?a)Rs. 30b)Rs. 40c)Rs. 50d)Rs. 60Correct answer is option 'B'. Can you explain this answer?.
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