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Patel mixed two different varieties of rice, x andy. Patil mixed three different varieties of rice x, y and z in the percentage 60%, 24% and 16% respectively. I bought certain quantities of rice from Patel and Patil and mixed them so that the mixture contained 55%, 35% and 10% of x, y and z respectively. What is the ratio of quantity of rice that I bought from both Patel and Patil?
- a)2.7/8
- b)3/5
- c)1.1/5
- d)2.7/5
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Patel mixed two different varieties of rice, x andy. Patil mixed three...
Let the quantity of rice that I bought from Patil and Patel be 100 kg and C kg respectively.
10/100 = (16+ 0)/(100 + C)
160= 100 + C
C = 60 kg
The required ratio = 60/100 = 3/5
Hence, option 2.
Most Upvoted Answer
Patel mixed two different varieties of rice, x andy. Patil mixed three...
To solve this problem, we can use a system of equations. Let's assume that the quantities of rice bought from Patel and Patil are P and Q respectively.
Given:
- Patel mixed two varieties of rice, x and y.
- Patil mixed three varieties of rice, x, y, and z, in the percentages of 60%, 24%, and 16% respectively.
- The mixture should contain 55% of x, 35% of y, and 10% of z.
We can set up the following equations:
Equation 1: (0.6)(P) + (0.55)(Q) = 0.55(P + Q) -----> This equation represents the mixture's x component.
Equation 2: (0.24)(P) + (0.35)(Q) = 0.35(P + Q) -----> This equation represents the mixture's y component.
Equation 3: (0.16)(P) + (0.1)(Q) = 0.1(P + Q) -----> This equation represents the mixture's z component.
Now, let's solve these equations to find the ratio of the quantities of rice bought from Patel and Patil.
Solving the equations:
Simplifying Equation 1:
0.6P + 0.55Q = 0.55P + 0.55Q
0.05P = 0
P = 0
Since P = 0, we can substitute this value into Equations 2 and 3.
Simplifying Equation 2:
0.24(0) + 0.35Q = 0.35(0 + Q)
0 + 0.35Q = 0.35Q
0 = 0
Since both sides of Equation 2 are equal to 0, it means that any value of Q will satisfy the equation. Therefore, the ratio of quantities of rice bought from Patel and Patil can be any value.
Hence, the correct answer is option D) 2.7/5.
Given:
- Patel mixed two varieties of rice, x and y.
- Patil mixed three varieties of rice, x, y, and z, in the percentages of 60%, 24%, and 16% respectively.
- The mixture should contain 55% of x, 35% of y, and 10% of z.
We can set up the following equations:
Equation 1: (0.6)(P) + (0.55)(Q) = 0.55(P + Q) -----> This equation represents the mixture's x component.
Equation 2: (0.24)(P) + (0.35)(Q) = 0.35(P + Q) -----> This equation represents the mixture's y component.
Equation 3: (0.16)(P) + (0.1)(Q) = 0.1(P + Q) -----> This equation represents the mixture's z component.
Now, let's solve these equations to find the ratio of the quantities of rice bought from Patel and Patil.
Solving the equations:
Simplifying Equation 1:
0.6P + 0.55Q = 0.55P + 0.55Q
0.05P = 0
P = 0
Since P = 0, we can substitute this value into Equations 2 and 3.
Simplifying Equation 2:
0.24(0) + 0.35Q = 0.35(0 + Q)
0 + 0.35Q = 0.35Q
0 = 0
Since both sides of Equation 2 are equal to 0, it means that any value of Q will satisfy the equation. Therefore, the ratio of quantities of rice bought from Patel and Patil can be any value.
Hence, the correct answer is option D) 2.7/5.
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Patel mixed two different varieties of rice, x andy. Patil mixed three different varieties of rice x, y and z in the percentage 60%, 24% and 16% respectively. I bought certain quantities of rice from Patel and Patil and mixed them so that the mixture contained 55%, 35% and 10% of x, y and z respectively. What is the ratio of quantity of rice that I bought from both Patel and Patil?a)2.7/8b)3/5c)1.1/5d)2.7/5Correct answer is option 'D'. Can you explain this answer?
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Patel mixed two different varieties of rice, x andy. Patil mixed three different varieties of rice x, y and z in the percentage 60%, 24% and 16% respectively. I bought certain quantities of rice from Patel and Patil and mixed them so that the mixture contained 55%, 35% and 10% of x, y and z respectively. What is the ratio of quantity of rice that I bought from both Patel and Patil?a)2.7/8b)3/5c)1.1/5d)2.7/5Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Patel mixed two different varieties of rice, x andy. Patil mixed three different varieties of rice x, y and z in the percentage 60%, 24% and 16% respectively. I bought certain quantities of rice from Patel and Patil and mixed them so that the mixture contained 55%, 35% and 10% of x, y and z respectively. What is the ratio of quantity of rice that I bought from both Patel and Patil?a)2.7/8b)3/5c)1.1/5d)2.7/5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Patel mixed two different varieties of rice, x andy. Patil mixed three different varieties of rice x, y and z in the percentage 60%, 24% and 16% respectively. I bought certain quantities of rice from Patel and Patil and mixed them so that the mixture contained 55%, 35% and 10% of x, y and z respectively. What is the ratio of quantity of rice that I bought from both Patel and Patil?a)2.7/8b)3/5c)1.1/5d)2.7/5Correct answer is option 'D'. Can you explain this answer?.
Patel mixed two different varieties of rice, x andy. Patil mixed three different varieties of rice x, y and z in the percentage 60%, 24% and 16% respectively. I bought certain quantities of rice from Patel and Patil and mixed them so that the mixture contained 55%, 35% and 10% of x, y and z respectively. What is the ratio of quantity of rice that I bought from both Patel and Patil?a)2.7/8b)3/5c)1.1/5d)2.7/5Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Patel mixed two different varieties of rice, x andy. Patil mixed three different varieties of rice x, y and z in the percentage 60%, 24% and 16% respectively. I bought certain quantities of rice from Patel and Patil and mixed them so that the mixture contained 55%, 35% and 10% of x, y and z respectively. What is the ratio of quantity of rice that I bought from both Patel and Patil?a)2.7/8b)3/5c)1.1/5d)2.7/5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Patel mixed two different varieties of rice, x andy. Patil mixed three different varieties of rice x, y and z in the percentage 60%, 24% and 16% respectively. I bought certain quantities of rice from Patel and Patil and mixed them so that the mixture contained 55%, 35% and 10% of x, y and z respectively. What is the ratio of quantity of rice that I bought from both Patel and Patil?a)2.7/8b)3/5c)1.1/5d)2.7/5Correct answer is option 'D'. Can you explain this answer?.
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