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An amount of money is to be divided between P, Q and R in the ratio of 3:7:12.If the difference between the shares of P and Q is Rs.X, and the difference between Q and R’s share is Rs.3000. Find the total amount of money?
- a)11000
- b)12400
- c)13200
- d)14300
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
An amount of money is to be divided between P, Q and R in the ratio of...
Answer – C.(13200)
12a-7a = 3000
5a = 3000
a = 600
7a-4a = x
3a = x
x = 1800
22x600 = 13200
Most Upvoted Answer
An amount of money is to be divided between P, Q and R in the ratio of...
Is Rs.Y, then find the value of X and Y.
Let the total amount of money be Rs. T.
Then, the shares of P, Q and R will be:
P's share = 3T/22
Q's share = 7T/22
R's share = 12T/22 = 6T/11
Given that the difference between P and Q's share is Rs. X:
7T/22 - 3T/22 = X
4T/22 = X
2T/11 = X
Therefore, X = 2T/11
Similarly, the difference between Q and R's share is Rs. Y:
12T/22 - 7T/22 = Y
5T/22 = Y
Therefore, Y = 5T/22
Hence, the value of X is 2T/11 and the value of Y is 5T/22.
Let the total amount of money be Rs. T.
Then, the shares of P, Q and R will be:
P's share = 3T/22
Q's share = 7T/22
R's share = 12T/22 = 6T/11
Given that the difference between P and Q's share is Rs. X:
7T/22 - 3T/22 = X
4T/22 = X
2T/11 = X
Therefore, X = 2T/11
Similarly, the difference between Q and R's share is Rs. Y:
12T/22 - 7T/22 = Y
5T/22 = Y
Therefore, Y = 5T/22
Hence, the value of X is 2T/11 and the value of Y is 5T/22.
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Community Answer
An amount of money is to be divided between P, Q and R in the ratio of...
- The shares of P, Q, and R are in the ratio of 3:7:12. Let the common factor be 'a'.
- P's share = 3a, Q's share = 7a, R's share = 12a.
- The difference between Q and R's share is 3000: 12a - 7a = 3000, which gives 5a = 3000, so a = 600.
- Now, P's difference with Q: 7a - 3a = 4a = X. Thus, X = 2400.
- Total amount = 3a + 7a + 12a = 22a = 22 * 600 = 13200.
- P's share = 3a, Q's share = 7a, R's share = 12a.
- The difference between Q and R's share is 3000: 12a - 7a = 3000, which gives 5a = 3000, so a = 600.
- Now, P's difference with Q: 7a - 3a = 4a = X. Thus, X = 2400.
- Total amount = 3a + 7a + 12a = 22a = 22 * 600 = 13200.
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