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An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200/- of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount?
- a)Rs 12800/-
- b)Rs. 6,400/-
- c)Rs 3,200/-
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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An amount of money is to be distributed among P, Q and R in the ratio ...
Given:
Ratio of distribution among P, Q, and R = 6:19:7
Ratio after R gives Rs. 200/- to Q from his share = 3:10:3
Let the original shares of P, Q, and R be 6x, 19x, and 7x respectively.
After R gives Rs. 200/- to Q from his share, his share becomes 7x - 200 and Q's share becomes 19x + 200.
According to the new ratio, P:Q:R = 3:10:3, which can be written as 3k:10k:3k, where k is a constant.
Equating the values of Q in both the ratios, we get:
19x = 10k
x = (10/19)k
Substituting the value of x in the original shares, we get:
P's share = 6x = (6/19)k
Q's share = 19x = k
R's share = 7x = (7/19)k - 200
The total amount distributed = P's share + Q's share + R's share
= (6/19)k + k + (7/19)k - 200
= (13/19)k - 200
To find the value of k, we can use the fact that the total amount distributed is the same in both the ratios:
Original ratio: P:Q:R = 6:19:7
Total amount = 6x + 19x + 7x = 32x
New ratio: P:Q:R = 3:10:3
Total amount = (6/19)k + k + (7/19)k - 200
Equating the two total amounts, we get:
32x = (6/19)k + k + (7/19)k - 200
32(10/19)k = (13/19)k - 200
k = 640
Substituting the value of k in the total amount, we get:
Total amount = (13/19)k - 200
= (13/19)*640 - 200
= 320
Therefore, the total amount distributed is Rs. 6,400/-.
Ratio of distribution among P, Q, and R = 6:19:7
Ratio after R gives Rs. 200/- to Q from his share = 3:10:3
Let the original shares of P, Q, and R be 6x, 19x, and 7x respectively.
After R gives Rs. 200/- to Q from his share, his share becomes 7x - 200 and Q's share becomes 19x + 200.
According to the new ratio, P:Q:R = 3:10:3, which can be written as 3k:10k:3k, where k is a constant.
Equating the values of Q in both the ratios, we get:
19x = 10k
x = (10/19)k
Substituting the value of x in the original shares, we get:
P's share = 6x = (6/19)k
Q's share = 19x = k
R's share = 7x = (7/19)k - 200
The total amount distributed = P's share + Q's share + R's share
= (6/19)k + k + (7/19)k - 200
= (13/19)k - 200
To find the value of k, we can use the fact that the total amount distributed is the same in both the ratios:
Original ratio: P:Q:R = 6:19:7
Total amount = 6x + 19x + 7x = 32x
New ratio: P:Q:R = 3:10:3
Total amount = (6/19)k + k + (7/19)k - 200
Equating the two total amounts, we get:
32x = (6/19)k + k + (7/19)k - 200
32(10/19)k = (13/19)k - 200
k = 640
Substituting the value of k in the total amount, we get:
Total amount = (13/19)k - 200
= (13/19)*640 - 200
= 320
Therefore, the total amount distributed is Rs. 6,400/-.
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Community Answer
An amount of money is to be distributed among P, Q and R in the ratio ...
The problem of si and amount the ci the problem
of pq, rs is simple and take of the rs 200 by the most of think they did make total amount of investment money
ans 6,400
of pq, rs is simple and take of the rs 200 by the most of think they did make total amount of investment money
ans 6,400
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An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200/- of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount?a)Rs 12800/-b)Rs. 6,400/-c)Rs 3,200/-d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200/- of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount?a)Rs 12800/-b)Rs. 6,400/-c)Rs 3,200/-d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200/- of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount?a)Rs 12800/-b)Rs. 6,400/-c)Rs 3,200/-d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200/- of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount?a)Rs 12800/-b)Rs. 6,400/-c)Rs 3,200/-d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200/- of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount?a)Rs 12800/-b)Rs. 6,400/-c)Rs 3,200/-d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200/- of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount?a)Rs 12800/-b)Rs. 6,400/-c)Rs 3,200/-d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200/- of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount?a)Rs 12800/-b)Rs. 6,400/-c)Rs 3,200/-d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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