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Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mixed in certain ratio to form varieties P and Q. Now, P and Q are mixed in the ratio 1 : 2 to form variety R which is sold for Rs. 288 per kg at 20% profit. If P costs Rs. 200 per kg, how much tea costing Rs. 180 is present in 100 kg of variety Q
- a)40
- b)60
- c)20
- d)80
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mix...
R is sold at Rs. 288 at 20% profit.
∴ CP of R = 288/1.2 = Rs. 240
Let the quantity of P and Q be x and 2x.
∴ CP of R = 288/1.2 = Rs. 240
Let the quantity of P and Q be x and 2x.
As CP of P = Rs. 200 we get,
∴ CP of Q = Rs. 260
Now,
Now,
where a and b are the varieties of tea costing Rs. 280 and Rs. 180 respectively.
Solving this we get, a : b = 4: 1
Solving this we get, a : b = 4: 1
Tea costing Rs. 180 in 100 kg of variety Q = (1/5) x 100 = 20 kg
Answer: 20
Hence Option 3
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Most Upvoted Answer
Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mix...
Given information:
- Cost of tea variety P = Rs. 200/kg
- Cost of tea variety Q = unknown
- Cost of tea variety A = Rs. 280/kg
- Cost of tea variety B = Rs. 180/kg
- Ratio of A and B in P = unknown
- Ratio of P and Q in R = 1:2
- Selling price of R = Rs. 288/kg
- Profit on R = 20%
To find: Amount of tea costing Rs. 180/kg in 100 kg of variety Q
Solution:
1. Let's assume that 100 kg of variety R is made by mixing 1 kg of variety P and 2 kg of variety Q in the given ratio.
2. Therefore, the cost of 1 kg of variety R = (1/3) * 200 + (2/3) * cost of Q
3. We know that variety R is sold at a 20% profit, which means the cost price of 1 kg of R = (100/120) * 288 = Rs. 240/kg
4. Equating the above two equations, we get:
(1/3) * 200 + (2/3) * cost of Q = 240
=> cost of Q = Rs. 180/kg
Therefore, in 100 kg of variety Q, there will be 100 kg * (2/3) * 180/kg = 12000/3 = 4000/3 = 1333.33 kg of tea costing Rs. 180/kg.
Answer: Option (c) 20
- Cost of tea variety P = Rs. 200/kg
- Cost of tea variety Q = unknown
- Cost of tea variety A = Rs. 280/kg
- Cost of tea variety B = Rs. 180/kg
- Ratio of A and B in P = unknown
- Ratio of P and Q in R = 1:2
- Selling price of R = Rs. 288/kg
- Profit on R = 20%
To find: Amount of tea costing Rs. 180/kg in 100 kg of variety Q
Solution:
1. Let's assume that 100 kg of variety R is made by mixing 1 kg of variety P and 2 kg of variety Q in the given ratio.
2. Therefore, the cost of 1 kg of variety R = (1/3) * 200 + (2/3) * cost of Q
3. We know that variety R is sold at a 20% profit, which means the cost price of 1 kg of R = (100/120) * 288 = Rs. 240/kg
4. Equating the above two equations, we get:
(1/3) * 200 + (2/3) * cost of Q = 240
=> cost of Q = Rs. 180/kg
Therefore, in 100 kg of variety Q, there will be 100 kg * (2/3) * 180/kg = 12000/3 = 4000/3 = 1333.33 kg of tea costing Rs. 180/kg.
Answer: Option (c) 20
Community Answer
Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mix...
Type1 tea: 280/kg
Type2 tea: 180/kg
These 2 types are mixed together in certain ratio to form 2 mixtures namely P and Q such that (P+Q) in the ratio of 1:2 forms another mixture R whose cost price is Rs.240 (Profit 20%, SP=288 --> CP=240) (where Q being 100kg, therefore P will be 50kg (1:2)) i.e CP of mixture R= 240/kg
Given that CP of P=200/kg
Let CP of Q = x
ATQ
P+Q in 1:2 ratio = R
200*50 + x*100 = 240*(50+100)
x=240
i.e. CP of Q= Rs 260/kg
Let quantity of 280/kg and 180/kg in Q be (100-y) and y
260*100 = 280(100-y) + 180*y
y=20
i.e.
tea costing Rs. 180 is 20kg
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Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mixed in certain ratio to form varieties P and Q. Now, P and Q are mixed in the ratio 1 : 2 to form variety R which is sold for Rs. 288 per kg at 20% profit. If P costs Rs. 200 per kg, how much tea costing Rs. 180 is present in 100 kg of variety Qa)40b)60c)20d)80Correct answer is option 'C'. Can you explain this answer?
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Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mixed in certain ratio to form varieties P and Q. Now, P and Q are mixed in the ratio 1 : 2 to form variety R which is sold for Rs. 288 per kg at 20% profit. If P costs Rs. 200 per kg, how much tea costing Rs. 180 is present in 100 kg of variety Qa)40b)60c)20d)80Correct answer is option 'C'. 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 Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mixed in certain ratio to form varieties P and Q. Now, P and Q are mixed in the ratio 1 : 2 to form variety R which is sold for Rs. 288 per kg at 20% profit. If P costs Rs. 200 per kg, how much tea costing Rs. 180 is present in 100 kg of variety Qa)40b)60c)20d)80Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mixed in certain ratio to form varieties P and Q. Now, P and Q are mixed in the ratio 1 : 2 to form variety R which is sold for Rs. 288 per kg at 20% profit. If P costs Rs. 200 per kg, how much tea costing Rs. 180 is present in 100 kg of variety Qa)40b)60c)20d)80Correct answer is option 'C'. Can you explain this answer?.
Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mixed in certain ratio to form varieties P and Q. Now, P and Q are mixed in the ratio 1 : 2 to form variety R which is sold for Rs. 288 per kg at 20% profit. If P costs Rs. 200 per kg, how much tea costing Rs. 180 is present in 100 kg of variety Qa)40b)60c)20d)80Correct answer is option 'C'. 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 Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mixed in certain ratio to form varieties P and Q. Now, P and Q are mixed in the ratio 1 : 2 to form variety R which is sold for Rs. 288 per kg at 20% profit. If P costs Rs. 200 per kg, how much tea costing Rs. 180 is present in 100 kg of variety Qa)40b)60c)20d)80Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two varieties of tea costing Rs. 280 per kg and Rs. 180 per kg are mixed in certain ratio to form varieties P and Q. Now, P and Q are mixed in the ratio 1 : 2 to form variety R which is sold for Rs. 288 per kg at 20% profit. If P costs Rs. 200 per kg, how much tea costing Rs. 180 is present in 100 kg of variety Qa)40b)60c)20d)80Correct answer is option 'C'. Can you explain this answer?.
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