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A sum of money is to be distributed among P, Q, R and S in the proportion 5 : 2 : 4 : 3, respectively. If R get Rs.1000 more than S, what is the share of Q (in Rs.)?
- a)1000
- b)1500
- c)2000
- d)500
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A sum of money is to be distributed among P, Q, R and S in the propo...
Given information:
- The sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3.
- R gets Rs. 1000 more than S.
Let's assume that the total sum of money to be distributed is 'x' rupees.
Calculation:
- The proportion of money distributed to P, Q, R, and S is 5:2:4:3.
- Therefore, the share of P = (5/14) * x
- The share of Q = (2/14) * x
- The share of R = (4/14) * x
- The share of S = (3/14) * x
We are given that R gets Rs. 1000 more than S.
- So, (4/14) * x = (3/14) * x + 1000
- Multiplying both sides by 14, we get:
- 4x = 3x + 14000
- Simplifying, we get:
- x = 14000
Now, we can find the share of Q:
- The share of Q = (2/14) * x
- Substituting the value of x, we get:
- The share of Q = (2/14) * 14000
- Simplifying, we get:
- The share of Q = 2000
Therefore, the share of Q is Rs. 2000.
- The sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3.
- R gets Rs. 1000 more than S.
Let's assume that the total sum of money to be distributed is 'x' rupees.
Calculation:
- The proportion of money distributed to P, Q, R, and S is 5:2:4:3.
- Therefore, the share of P = (5/14) * x
- The share of Q = (2/14) * x
- The share of R = (4/14) * x
- The share of S = (3/14) * x
We are given that R gets Rs. 1000 more than S.
- So, (4/14) * x = (3/14) * x + 1000
- Multiplying both sides by 14, we get:
- 4x = 3x + 14000
- Simplifying, we get:
- x = 14000
Now, we can find the share of Q:
- The share of Q = (2/14) * x
- Substituting the value of x, we get:
- The share of Q = (2/14) * 14000
- Simplifying, we get:
- The share of Q = 2000
Therefore, the share of Q is Rs. 2000.
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Community Answer
A sum of money is to be distributed among P, Q, R and S in the propo...
Given : A sum of money is to be distributed among P, Q, R and S is 5x, 2x, 4x and 3x respectively.
Where x is a common multiplication factor.
As R gets Rs.1000 more than S.
Then, 4x - 3x = 1000
x = 1000
Now, share of Q is 2x = 2 ´1000 = Rs.2000
Share of Q is Rs.2000.
Hence, the correct option is (C).
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A sum of money is to be distributed among P, Q, R and S in the proportion 5 : 2 : 4 : 3, respectively. If R get Rs.1000 more than S, what is the share of Q (in Rs.)?a)1000b)1500c)2000d)500Correct answer is option 'C'. Can you explain this answer?
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