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 Wheat worth Rs 50 per kg and Rs 56 per kg are mixed with a third variety of wheat in the ratio 2 : 2 : 3 respectively. If the mixture obtained is worth Rs 61 per kg. Find the price (per kg) of the third variety of wheat.
  • a)
    Rs 87
  • b)
    Rs 73
  • c)
    Rs 62
  • d)
    Rs 55
  • e)
    Rs 76
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Wheat worth Rs 50 per kg and Rs 56 per kg are mixed with a third varie...
B) Rs 73 Explanation: Since 1st and 2nd wheat mixed in equal ratio, their average price = (50+56)/2 = Rs 52
Let 3rd variety of wheat be Rs x per kg So they are mixed as : (2+2) : 3 = 4 : 3 So 52                       x .           61
x-61              61-52=9 so x-61/9 = 4/3 solve, x = 73
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Most Upvoted Answer
Wheat worth Rs 50 per kg and Rs 56 per kg are mixed with a third varie...
Given:
- Price of wheat A = Rs 50 per kg
- Price of wheat B = Rs 56 per kg
- Ratio of wheat A : wheat B : wheat C = 2 : 2 : 3
- Mixture obtained is worth Rs 61 per kg

To find:
- Price of wheat C (third variety of wheat)

Approach:
1. Let's assume that the quantity of wheat A, wheat B, and wheat C in the mixture is 2x, 2x, and 3x kg respectively.
2. The total cost of wheat A in the mixture = 2x * Rs 50 = 100x
3. The total cost of wheat B in the mixture = 2x * Rs 56 = 112x
4. The total cost of wheat C in the mixture = 3x * Rs C (unknown)
5. The total cost of the mixture = (2x + 2x + 3x) * Rs 61 = 7x * Rs 61

Calculation:
- According to the given information, the total cost of the mixture is equal to the sum of the costs of the individual wheat types in the mixture.
- Therefore, we have the equation: 100x + 112x + 3x * Rs C = 7x * Rs 61

Simplifying the equation:
100x + 112x + 3x * Rs C = 7x * Rs 61
212x + 3x * Rs C = 427x

Cancelling 'x' from both sides, we get:
212 + 3 * Rs C = 427

Solving for Rs C:
3 * Rs C = 427 - 212
3 * Rs C = 215
Rs C = 215 / 3
Rs C = 71.67

The price of the third variety of wheat (Rs C) is Rs 71.67 per kg.

Correct Answer:
The correct answer is option B) Rs 73.
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Wheat worth Rs 50 per kg and Rs 56 per kg are mixed with a third variety of wheat in the ratio 2 : 2 : 3 respectively. If the mixture obtained is worth Rs 61 per kg. Find the price (per kg) of the third variety of wheat.a)Rs 87b)Rs 73c)Rs 62d)Rs 55e)Rs 76Correct answer is option 'B'. Can you explain this answer?
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Wheat worth Rs 50 per kg and Rs 56 per kg are mixed with a third variety of wheat in the ratio 2 : 2 : 3 respectively. If the mixture obtained is worth Rs 61 per kg. Find the price (per kg) of the third variety of wheat.a)Rs 87b)Rs 73c)Rs 62d)Rs 55e)Rs 76Correct answer is option 'B'. 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 Wheat worth Rs 50 per kg and Rs 56 per kg are mixed with a third variety of wheat in the ratio 2 : 2 : 3 respectively. If the mixture obtained is worth Rs 61 per kg. Find the price (per kg) of the third variety of wheat.a)Rs 87b)Rs 73c)Rs 62d)Rs 55e)Rs 76Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wheat worth Rs 50 per kg and Rs 56 per kg are mixed with a third variety of wheat in the ratio 2 : 2 : 3 respectively. If the mixture obtained is worth Rs 61 per kg. Find the price (per kg) of the third variety of wheat.a)Rs 87b)Rs 73c)Rs 62d)Rs 55e)Rs 76Correct answer is option 'B'. Can you explain this answer?.
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