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Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possible ratio in which the three could be mixed so that the resultant would be worth RS 26 per kilo.
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Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possibl...
there may be a shortcut trick for this so it would be better if u post the options
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Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possibl...
Ratio of Rice Mixing
- Let's assume that x, y, and z kilograms of the three varieties of rice are mixed.
- Therefore, the total weight of the mixture will be x + y + z kilograms.
- Now we have to find a ratio in which the three varieties of rice should be mixed to get a resultant worth RS 26 per kilo.
- Let's calculate the cost of each variety of rice:
- The cost of the first variety of rice is 18 RS per kilo, so the cost of x kilograms of this rice will be 18x RS.
- The cost of the second variety of rice is 25 RS per kilo, so the cost of y kilograms of this rice will be 25y RS.
- The cost of the third variety of rice is 28 RS per kilo, so the cost of z kilograms of this rice will be 28z RS.
- Now let's calculate the total cost of the mixture:
- The total cost of the mixture will be (18x + 25y + 28z) RS.
- The total weight of the mixture will be (x + y + z) kilograms.
- Therefore, the cost per kilo of the mixture will be [(18x + 25y + 28z) / (x + y + z)] RS.
- We have to find a ratio in which the mixture will be worth RS 26 per kilo:
- So we can write an equation: (18x + 25y + 28z) / (x + y + z) = 26.
- Now we can simplify this equation to get a ratio of x, y, and z:
- 18x + 25y + 28z = 26(x + y + z)
- 18x + 25y + 28z = 26x + 26y + 26z
- 8x - y - 2z = 0
- From this equation, we can get a possible ratio of x, y, and z as:
- x : y : z = 1 : 2 : 4
Therefore, the possible ratio in which the three varieties of rice could be mixed is 1 : 2 : 4 to get a resultant worth RS 26 per kilo.
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Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possible ratio in which the three could be mixed so that the resultant would be worth RS 26 per kilo.
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Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possible ratio in which the three could be mixed so that the resultant would be worth RS 26 per kilo. for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possible ratio in which the three could be mixed so that the resultant would be worth RS 26 per kilo. covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possible ratio in which the three could be mixed so that the resultant would be worth RS 26 per kilo..
Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possible ratio in which the three could be mixed so that the resultant would be worth RS 26 per kilo. for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possible ratio in which the three could be mixed so that the resultant would be worth RS 26 per kilo. covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three varieties of rice cost 18, 25 and 28 RS per kilo. Find a possible ratio in which the three could be mixed so that the resultant would be worth RS 26 per kilo..
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