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A reduction of 25% in the price of sugar enables a purchaser to obtain 7/3 kg more for Rs. 280. Find the original price per kg of sugar.
- a)Rs. 42
- b)Rs. 35
- c)Rs. 40
- d)Rs. 48
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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A reduction of 25% in the price of sugar enables a purchaser to obtain...
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A reduction of 25% in the price of sugar enables a purchaser to obtain...
Let's assume the original price per kg of sugar is Rs. X.
- Reduction in Price:
The reduction in price is given as 25%. Therefore, the reduced price per kg of sugar is (100-25)% = 75% of the original price, which is (75/100) * X = 0.75X.
- Increased Quantity:
The increased quantity obtained for Rs. 280 is 7/3 kg.
- Total Cost:
The total cost of the increased quantity is Rs. 280.
To find the original price per kg of sugar, we need to equate the total cost of the reduced price to the total cost of the original price.
- Calculation:
The total cost of the reduced price is (0.75X) * (7/3) = 7X/4.
According to the given information, the total cost of the reduced price is equal to Rs. 280. So, we have the equation 7X/4 = 280.
To solve for X, we can cross multiply and solve the equation:
7X = 280 * 4
7X = 1120
X = 1120/7
X = 160
Therefore, the original price per kg of sugar is Rs. 160.
However, none of the options provided match the calculated value. Hence, there may be an error in the given options or in the calculation.
- Reduction in Price:
The reduction in price is given as 25%. Therefore, the reduced price per kg of sugar is (100-25)% = 75% of the original price, which is (75/100) * X = 0.75X.
- Increased Quantity:
The increased quantity obtained for Rs. 280 is 7/3 kg.
- Total Cost:
The total cost of the increased quantity is Rs. 280.
To find the original price per kg of sugar, we need to equate the total cost of the reduced price to the total cost of the original price.
- Calculation:
The total cost of the reduced price is (0.75X) * (7/3) = 7X/4.
According to the given information, the total cost of the reduced price is equal to Rs. 280. So, we have the equation 7X/4 = 280.
To solve for X, we can cross multiply and solve the equation:
7X = 280 * 4
7X = 1120
X = 1120/7
X = 160
Therefore, the original price per kg of sugar is Rs. 160.
However, none of the options provided match the calculated value. Hence, there may be an error in the given options or in the calculation.
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A reduction of 25% in the price of sugar enables a purchaser to obtain 7/3 kg more for Rs. 280. Find the original price per kg of sugar.a)Rs. 42b)Rs. 35c)Rs. 40d)Rs. 48e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A reduction of 25% in the price of sugar enables a purchaser to obtain 7/3 kg more for Rs. 280. Find the original price per kg of sugar.a)Rs. 42b)Rs. 35c)Rs. 40d)Rs. 48e)None of theseCorrect answer is option 'C'. 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 sugar enables a purchaser to obtain 7/3 kg more for Rs. 280. Find the original price per kg of sugar.a)Rs. 42b)Rs. 35c)Rs. 40d)Rs. 48e)None of theseCorrect answer is option 'C'. 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 sugar enables a purchaser to obtain 7/3 kg more for Rs. 280. Find the original price per kg of sugar.a)Rs. 42b)Rs. 35c)Rs. 40d)Rs. 48e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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