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A reduction of 20% in the price of rice enables a person to buy 3.5 kg more rice for Rs 385. The original price of rice is :
- a)Rs 20 per kg
- b)Rs 22.50 per kg
- c)Rs 25 per kg
- d)Rs 27.50 per kg
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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A reduction of 20% in the price of rice enables a person to buy 3.5 kg...
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A reduction of 20% in the price of rice enables a person to buy 3.5 kg...
Given,
Reduction in price of rice = 20%
Let the original price of rice be x Rs/kg
New price of rice = (100-20)% of x = 80% of x = 0.8x Rs/kg
Let the person initially buy y kg of rice for Rs z
So, initially the person pays,
z = xy Rs
After the reduction in price,
Person can buy 3.5 kg more rice for Rs 385
New quantity of rice bought = y+3.5 kg
New price of rice = 0.8x Rs/kg
So,
New cost of rice = (y+3.5) * 0.8x = (4.8y + 2.8x) Rs
New cost of rice = z - 385 Rs
Equating both expressions for new cost of rice, we get
4.8y + 2.8x = z - 385
Substituting z = xy, we get
4.8y + 2.8x = xy - 385
Solving for x, we get
x = 27.5 Rs/kg
Therefore, the original price of rice is Rs 27.50 per kg.
Reduction in price of rice = 20%
Let the original price of rice be x Rs/kg
New price of rice = (100-20)% of x = 80% of x = 0.8x Rs/kg
Let the person initially buy y kg of rice for Rs z
So, initially the person pays,
z = xy Rs
After the reduction in price,
Person can buy 3.5 kg more rice for Rs 385
New quantity of rice bought = y+3.5 kg
New price of rice = 0.8x Rs/kg
So,
New cost of rice = (y+3.5) * 0.8x = (4.8y + 2.8x) Rs
New cost of rice = z - 385 Rs
Equating both expressions for new cost of rice, we get
4.8y + 2.8x = z - 385
Substituting z = xy, we get
4.8y + 2.8x = xy - 385
Solving for x, we get
x = 27.5 Rs/kg
Therefore, the original price of rice is Rs 27.50 per kg.
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A reduction of 20% in the price of rice enables a person to buy 3.5 kg more rice for Rs 385. The original price of rice is :a)Rs 20 per kgb)Rs 22.50 per kgc)Rs 25 per kgd)Rs 27.50 per kge)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A reduction of 20% in the price of rice enables a person to buy 3.5 kg more rice for Rs 385. The original price of rice is :a)Rs 20 per kgb)Rs 22.50 per kgc)Rs 25 per kgd)Rs 27.50 per kge)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 20% in the price of rice enables a person to buy 3.5 kg more rice for Rs 385. The original price of rice is :a)Rs 20 per kgb)Rs 22.50 per kgc)Rs 25 per kgd)Rs 27.50 per kge)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 20% in the price of rice enables a person to buy 3.5 kg more rice for Rs 385. The original price of rice is :a)Rs 20 per kgb)Rs 22.50 per kgc)Rs 25 per kgd)Rs 27.50 per kge)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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