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A reduction of 25% in the price of rice enables a purchaser to obtain 8/3kg more for Rs. 160. Find the original price per kg of rice.
- a)Rs. 12
- b)Rs. 15
- c)Rs. 16
- d)Rs. 20
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Given:
- Reduction in price of rice = 25%
- Increase in quantity of rice for Rs. 160 = 8/3 kg
To find:
- Original price per kg of rice
Assumption:
Let the original price per kg of rice be x.
Calculation:
1. Reduction in price:
The reduction in price of rice is given as 25%.
Therefore, the reduced price of rice = x - (25% of x) = x - (0.25x) = 0.75x
2. Increase in quantity:
The increase in quantity of rice for Rs. 160 is given as 8/3 kg.
Therefore, the increased quantity of rice = 8/3 kg
3. Cost of rice:
The cost of rice is given as Rs. 160.
Therefore, the cost of rice = Rs. 160
4. Equation:
The equation can be formed based on the given information as follows:
Cost of original quantity of rice = Cost of reduced quantity of rice
Original price per kg * Original quantity = Reduced price per kg * Reduced quantity
x * (Original quantity) = (0.75x) * (Original quantity + 8/3)
Simplifying the equation:
x * Original quantity = 0.75x * (Original quantity + 8/3)
Dividing both sides by x:
Original quantity = 0.75 * (Original quantity + 8/3)
Multiplying both sides by 3:
3 * Original quantity = 0.75 * (3 * Original quantity + 8)
Simplifying the equation:
3 * Original quantity = 0.75 * (3 * Original quantity) + 0.75 * 8
3 * Original quantity = 2.25 * Original quantity + 6
Subtracting 2.25 * Original quantity from both sides:
0.75 * Original quantity = 6
Dividing both sides by 0.75:
Original quantity = 6 / 0.75
Original quantity = 8 kg
5. Original price per kg:
We know that the original price per kg of rice is x.
Therefore, the original price per kg of rice = x
Conclusion:
The original price per kg of rice is Rs. 20, which corresponds to option D.
- Reduction in price of rice = 25%
- Increase in quantity of rice for Rs. 160 = 8/3 kg
To find:
- Original price per kg of rice
Assumption:
Let the original price per kg of rice be x.
Calculation:
1. Reduction in price:
The reduction in price of rice is given as 25%.
Therefore, the reduced price of rice = x - (25% of x) = x - (0.25x) = 0.75x
2. Increase in quantity:
The increase in quantity of rice for Rs. 160 is given as 8/3 kg.
Therefore, the increased quantity of rice = 8/3 kg
3. Cost of rice:
The cost of rice is given as Rs. 160.
Therefore, the cost of rice = Rs. 160
4. Equation:
The equation can be formed based on the given information as follows:
Cost of original quantity of rice = Cost of reduced quantity of rice
Original price per kg * Original quantity = Reduced price per kg * Reduced quantity
x * (Original quantity) = (0.75x) * (Original quantity + 8/3)
Simplifying the equation:
x * Original quantity = 0.75x * (Original quantity + 8/3)
Dividing both sides by x:
Original quantity = 0.75 * (Original quantity + 8/3)
Multiplying both sides by 3:
3 * Original quantity = 0.75 * (3 * Original quantity + 8)
Simplifying the equation:
3 * Original quantity = 0.75 * (3 * Original quantity) + 0.75 * 8
3 * Original quantity = 2.25 * Original quantity + 6
Subtracting 2.25 * Original quantity from both sides:
0.75 * Original quantity = 6
Dividing both sides by 0.75:
Original quantity = 6 / 0.75
Original quantity = 8 kg
5. Original price per kg:
We know that the original price per kg of rice is x.
Therefore, the original price per kg of rice = x
Conclusion:
The original price per kg of rice is Rs. 20, which corresponds to option D.
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A reduction of 25% in the price of rice enables a purchaser to obtain 8/3kg more for Rs. 160. Find the original price per kg of rice.a)Rs. 12b)Rs. 15c)Rs. 16d)Rs. 20e)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
A reduction of 25% in the price of rice enables a purchaser to obtain 8/3kg more for Rs. 160. Find the original price per kg of rice.a)Rs. 12b)Rs. 15c)Rs. 16d)Rs. 20e)None of theseCorrect answer is option 'D'. 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 reduction of 25% in the price of rice enables a purchaser to obtain 8/3kg more for Rs. 160. Find the original price per kg of rice.a)Rs. 12b)Rs. 15c)Rs. 16d)Rs. 20e)None of theseCorrect answer is option 'D'. 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 reduction of 25% in the price of rice enables a purchaser to obtain 8/3kg more for Rs. 160. Find the original price per kg of rice.a)Rs. 12b)Rs. 15c)Rs. 16d)Rs. 20e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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