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Rice worth Rs. 126 per kg and Rs. 134 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 177 per kg, the price of the third variety per kg will be:
  • a)
    254
  • b)
    216
  • c)
    224
  • d)
    238
  • e)
    262
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Rice worth Rs. 126 per kg and Rs. 134 per kg are mixed with a third va...
Answer – C.224 Explanation : 126*1+134*1+2x=177*4 260+2x=708 2x==708-260=448 x=448/2 = 224
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Most Upvoted Answer
Rice worth Rs. 126 per kg and Rs. 134 per kg are mixed with a third va...
Given:
Rice 1 = Rs. 126 per kg
Rice 2 = Rs. 134 per kg
Ratio of Rice 1: Rice 2: Rice 3 = 1:1:2
Mixture price = Rs. 177 per kg

To find:
Price of Rice 3 per kg

Solution:
Let's assume that the quantity of Rice 1, Rice 2, and Rice 3 in the mixture is x, x, and 2x kg respectively.

Cost of 1 kg of Rice 1 = Rs. 126
Cost of x kg of Rice 1 = Rs. 126x
Cost of 1 kg of Rice 2 = Rs. 134
Cost of x kg of Rice 2 = Rs. 134x
Cost of 1 kg of Rice 3 = Rs. y (Let's assume the cost of Rice 3 to be y)

Total cost of x+ x + 2x = 4x kg of mixture = Cost of Rice 1 + Cost of Rice 2 + Cost of Rice 3

126x + 134x + 2xy = 177 * 4x [as the mixture is worth Rs. 177 per kg]

Simplifying the above equation, we get:

260x = 708x
or
y = 224

Therefore, the price of Rice 3 per kg is Rs. 224.

Hence, the correct answer is option C.
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Community Answer
Rice worth Rs. 126 per kg and Rs. 134 per kg are mixed with a third va...
Price of 1st variety in mixture= 126×1÷4 =31.5
price of 2nd variety in mixture= 134×1÷4 =33.5
price of 3rd variety in mixture= 177-31.5-33.5 = 112
price of 3rd variety= 112×4÷2 =224
option(c)is correct
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Rice worth Rs. 126 per kg and Rs. 134 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 177 per kg, the price of the third variety per kg will be:a)254b)216c)224d)238e)262Correct answer is option 'C'. Can you explain this answer?
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