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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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.