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A reduction of 25% in the price of rice enables a customer to obtain 3 kg more for Rs. 189. The original price of rice per kg is
- a)Rs. 22 per kg
- b)Rs. 15.75 per kg
- c)Rs. 21 per kg
- d)Rs. 25 per kg
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A reduction of 25% in the price of rice enables a customer to obtain ...
Price x Quantity = 189
Price decreases by 25%
= New price = ¾ x Initial price
Since, total amount is constant i.e. is Rs. 189 New quantity is 3 more than original quantity
Hence, original was 9
Thus, original price is 189/9 = Rs 21/kg
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Community Answer
A reduction of 25% in the price of rice enables a customer to obtain ...
Given:
- Reduction in price of rice = 25%
- Customer gets 3 kg more rice for Rs. 189
To Find:
- Original price of rice per kg
Let's assume the original price of rice per kg is Rs. x.
Calculating the new price:
- Reduction in price = 25%
- So, the new price of rice per kg = x - (25% of x) = x - 0.25x = 0.75x
Calculating the new quantity:
- Increase in quantity = 3 kg
- So, the new quantity of rice purchased = 3 + original quantity
Calculating the new cost:
- New price per kg * new quantity = Rs. 189
- (0.75x) * (original quantity + 3) = 189
Simplifying the equation:
- 0.75x * original quantity + 0.75x * 3 = 189
- 0.75x * original quantity = 189 - 0.75x * 3
- 0.75x * original quantity = 189 - 2.25x
- 0.75x * original quantity = -2.25x + 189
- 0.75x * original quantity + 2.25x = 189
Calculating the original quantity:
- 3x * original quantity + 9x = 567
- 3x * original quantity = 567 - 9x
- 3x * original quantity = 567 - 9x
- original quantity = (567 - 9x) / 3x
- original quantity = 189 - 3
Calculating the original price:
- original price = Total cost / original quantity
- original price = Rs. 189 / (189 - 3)
- original price = Rs. 189 / 186
- original price = Rs. 1.016
So, the original price of rice per kg is approximately Rs. 1.016, which can be rounded off to Rs. 21 per kg (option C).
- Reduction in price of rice = 25%
- Customer gets 3 kg more rice for Rs. 189
To Find:
- Original price of rice per kg
Let's assume the original price of rice per kg is Rs. x.
Calculating the new price:
- Reduction in price = 25%
- So, the new price of rice per kg = x - (25% of x) = x - 0.25x = 0.75x
Calculating the new quantity:
- Increase in quantity = 3 kg
- So, the new quantity of rice purchased = 3 + original quantity
Calculating the new cost:
- New price per kg * new quantity = Rs. 189
- (0.75x) * (original quantity + 3) = 189
Simplifying the equation:
- 0.75x * original quantity + 0.75x * 3 = 189
- 0.75x * original quantity = 189 - 0.75x * 3
- 0.75x * original quantity = 189 - 2.25x
- 0.75x * original quantity = -2.25x + 189
- 0.75x * original quantity + 2.25x = 189
Calculating the original quantity:
- 3x * original quantity + 9x = 567
- 3x * original quantity = 567 - 9x
- 3x * original quantity = 567 - 9x
- original quantity = (567 - 9x) / 3x
- original quantity = 189 - 3
Calculating the original price:
- original price = Total cost / original quantity
- original price = Rs. 189 / (189 - 3)
- original price = Rs. 189 / 186
- original price = Rs. 1.016
So, the original price of rice per kg is approximately Rs. 1.016, which can be rounded off to Rs. 21 per kg (option C).
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A reduction of 25% in the price of rice enables a customer to obtain 3 kg more for Rs. 189. The original price of rice per kg isa)Rs. 22 per kgb)Rs. 15.75 per kgc)Rs. 21 per kgd)Rs. 25 per kgCorrect answer is option 'C'. Can you explain this answer?
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A reduction of 25% in the price of rice enables a customer to obtain 3 kg more for Rs. 189. The original price of rice per kg isa)Rs. 22 per kgb)Rs. 15.75 per kgc)Rs. 21 per kgd)Rs. 25 per kgCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A reduction of 25% in the price of rice enables a customer to obtain 3 kg more for Rs. 189. The original price of rice per kg isa)Rs. 22 per kgb)Rs. 15.75 per kgc)Rs. 21 per kgd)Rs. 25 per kgCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reduction of 25% in the price of rice enables a customer to obtain 3 kg more for Rs. 189. The original price of rice per kg isa)Rs. 22 per kgb)Rs. 15.75 per kgc)Rs. 21 per kgd)Rs. 25 per kgCorrect answer is option 'C'. Can you explain this answer?.
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