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In what ratio rice costing Rs. 14/kg mixed with another rice costing Rs. 11/kg to get the mixture costing Rs. 11.6/kg?
  • a)
    2 : 5
  • b)
    1 : 4
  • c)
    1 : 3
  • d)
    1 : 5
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In what ratio rice costing Rs. 14/kg mixed with another rice costing R...
GIVEN:
Price of Rice 1 = Rs. 14/kg
Price of Rice 2 = Rs. 11/kg
Price of the mixture = Rs. 11.6/kg
CALCULATION: 
Let ‘x’ kg of rice costing Rs. 14/kg is mixed with ‘y’ kg of rice costing Rs. 11/kg
⇒ Total cost = 14x + 11y = 11.6(x + y)
⇒ 14x - 11.6x = 11.6y - 11y
⇒ 2.4x = 0.6y
⇒ x/y = 0.6/2.4 = 1/4
∴ They are mixed in the ratio 1 ∶ 4
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Most Upvoted Answer
In what ratio rice costing Rs. 14/kg mixed with another rice costing R...
Ratio of two types of rice mixed to get the desired mixture

Let the quantity of cheaper rice (Rs. 11/kg) be x kg

Let the quantity of costlier rice (Rs. 14/kg) be y kg

Total quantity of mixture = x + y kg

Cost of cheaper rice = Rs. 11/kg

Cost of costlier rice = Rs. 14/kg

Cost of mixture = Rs. 11.6/kg

Equation based on cost of rice

11x + 14y = 11.6(x + y)

11x + 14y = 11.6x + 11.6y

14y - 11.6y = 11.6x - 11x

2.4y = 0.6x

y/x = 0.6/2.4 = 1/4

Ratio of two types of rice mixed to get the desired mixture = x : y = 4 : 1

Therefore, the correct answer is option B) 1 : 4.
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In what ratio rice costing Rs. 14/kg mixed with another rice costing Rs. 11/kg to get the mixture costing Rs. 11.6/kg?a)2 : 5b)1 : 4c)1 : 3d)1 : 5Correct answer is option 'B'. Can you explain this answer?
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