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Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety per kg will be
- a)Rs. 169.50
- b)Rs. 170
- c)Rs. 175.50
- d)Rs. 180
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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To solve this problem, we can use the concept of weighted average.
Let's assume that the third variety of tea costs Rs. x per kg.
We are given that the first variety of tea costs Rs. 126 per kg and the second variety costs Rs. 135 per kg.
The ratio in which the three varieties are mixed is 1:1:2.
So, the weighted average price of the mixture can be calculated as follows:
(1 * 126 + 1 * 135 + 2 * x) / (1 + 1 + 2) = 153
Simplifying the equation:
126 + 135 + 2x = 4 * 153
261 + 2x = 612
2x = 612 - 261
2x = 351
x = 351 / 2
x = 175.5
Therefore, the price of the third variety of tea per kg is Rs. 175.50.
Hence, the correct answer is option C) Rs. 175.50.
Let's assume that the third variety of tea costs Rs. x per kg.
We are given that the first variety of tea costs Rs. 126 per kg and the second variety costs Rs. 135 per kg.
The ratio in which the three varieties are mixed is 1:1:2.
So, the weighted average price of the mixture can be calculated as follows:
(1 * 126 + 1 * 135 + 2 * x) / (1 + 1 + 2) = 153
Simplifying the equation:
126 + 135 + 2x = 4 * 153
261 + 2x = 612
2x = 612 - 261
2x = 351
x = 351 / 2
x = 175.5
Therefore, the price of the third variety of tea per kg is Rs. 175.50.
Hence, the correct answer is option C) Rs. 175.50.
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Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety per kg will bea)Rs. 169.50b)Rs. 170c)Rs. 175.50d)Rs. 180e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety per kg will bea)Rs. 169.50b)Rs. 170c)Rs. 175.50d)Rs. 180e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety per kg will bea)Rs. 169.50b)Rs. 170c)Rs. 175.50d)Rs. 180e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety per kg will bea)Rs. 169.50b)Rs. 170c)Rs. 175.50d)Rs. 180e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety per kg will bea)Rs. 169.50b)Rs. 170c)Rs. 175.50d)Rs. 180e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety per kg will bea)Rs. 169.50b)Rs. 170c)Rs. 175.50d)Rs. 180e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety per kg will bea)Rs. 169.50b)Rs. 170c)Rs. 175.50d)Rs. 180e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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