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The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
- a)3500
- b)4000
- c)4050
- d)5000
Correct answer is 'B'. Can you explain this answer?
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Verified Answer
The average monthly income of P and Q is Rs. 5050. The average monthly...
Let monthly income of A = a
monthly income of B = b
monthly income of C = c
a + b = 2 * 5050 .... (Equation 1)
b + c = 2 * 6250 .... (Equation 2)
a + c = 2 * 5200 .... (Equation 3)
(Equation 1) + (Equation 3) - (Equation 2)
= a + b + a + c - (b + c) = (2 * 5050) + (2 * 5200) - (2 * 6250)
= 2a = 2(5050 + 5200 - 6250)
= a = 4000
i.e., Monthly income of A = 4000
Most Upvoted Answer
The average monthly income of P and Q is Rs. 5050. The average monthly...
Given information:
- Average weight of Ross, Joey, and Chandler = 74 kg
- Average weight of Ross, Joey, Chandler, and David = 70 kg
- Average weight of Joey, Chandler, David, and Eric = 75 kg
Let's solve this problem step by step.
Finding the weight of David:
- Average weight of Ross, Joey, and Chandler = 74 kg
- Average weight of Ross, Joey, Chandler, and David = 70 kg
We know that the average weight is the sum of all weights divided by the number of people. So, we can write the equation:
(Ross + Joey + Chandler + David) / 4 = 70
Multiplying both sides by 4, we get:
Ross + Joey + Chandler + David = 280
Now, let's substitute the average weight of Ross, Joey, and Chandler:
(74 + 74 + 74 + David) = 280
222 + David = 280
David = 280 - 222
David = 58 kg
Finding the weight of Ross:
- Average weight of Joey, Chandler, David, and Eric = 75 kg
We know that Eric's weight is 3 kg more than David's weight. So, Eric's weight is:
David + 3 = 58 + 3 = 61 kg
Now, let's find the total weight of Joey, Chandler, David, and Eric:
(75 * 4) = 300
Subtracting Eric's weight from the total weight:
300 - 61 = 239
Since Ross is replaced by Eric, the total weight will remain the same. So, we can write the equation:
Joey + Chandler + David + Eric = 239
Substituting the weight of David and Eric:
Joey + Chandler + 58 + 61 = 239
Joey + Chandler = 239 - 119
Joey + Chandler = 120
Since Ross, Joey, and Chandler have the same weight, we can assume that Joey and Chandler have half of the total weight:
Joey = Chandler = 120 / 2 = 60 kg
Finding the weight of Ross:
Since Joey and Chandler have the same weight, the weight of Ross is also 60 kg.
Therefore, the weight of Ross is 41 kg (option B).
- Average weight of Ross, Joey, and Chandler = 74 kg
- Average weight of Ross, Joey, Chandler, and David = 70 kg
- Average weight of Joey, Chandler, David, and Eric = 75 kg
Let's solve this problem step by step.
Finding the weight of David:
- Average weight of Ross, Joey, and Chandler = 74 kg
- Average weight of Ross, Joey, Chandler, and David = 70 kg
We know that the average weight is the sum of all weights divided by the number of people. So, we can write the equation:
(Ross + Joey + Chandler + David) / 4 = 70
Multiplying both sides by 4, we get:
Ross + Joey + Chandler + David = 280
Now, let's substitute the average weight of Ross, Joey, and Chandler:
(74 + 74 + 74 + David) = 280
222 + David = 280
David = 280 - 222
David = 58 kg
Finding the weight of Ross:
- Average weight of Joey, Chandler, David, and Eric = 75 kg
We know that Eric's weight is 3 kg more than David's weight. So, Eric's weight is:
David + 3 = 58 + 3 = 61 kg
Now, let's find the total weight of Joey, Chandler, David, and Eric:
(75 * 4) = 300
Subtracting Eric's weight from the total weight:
300 - 61 = 239
Since Ross is replaced by Eric, the total weight will remain the same. So, we can write the equation:
Joey + Chandler + David + Eric = 239
Substituting the weight of David and Eric:
Joey + Chandler + 58 + 61 = 239
Joey + Chandler = 239 - 119
Joey + Chandler = 120
Since Ross, Joey, and Chandler have the same weight, we can assume that Joey and Chandler have half of the total weight:
Joey = Chandler = 120 / 2 = 60 kg
Finding the weight of Ross:
Since Joey and Chandler have the same weight, the weight of Ross is also 60 kg.
Therefore, the weight of Ross is 41 kg (option B).
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The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:a)3500b)4000c)4050d)5000Correct answer is 'B'. Can you explain this answer?
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The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:a)3500b)4000c)4050d)5000Correct answer is 'B'. 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 The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:a)3500b)4000c)4050d)5000Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:a)3500b)4000c)4050d)5000Correct answer is 'B'. Can you explain this answer?.
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:a)3500b)4000c)4050d)5000Correct answer is 'B'. 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 The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:a)3500b)4000c)4050d)5000Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:a)3500b)4000c)4050d)5000Correct answer is 'B'. Can you explain this answer?.
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