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A sum of money is to be distributed among P , Q , R and S in the proportion 2:5:6:7, If R get Rs.500 more than S,what is P’s share ?
- a)500
- b)700
- c)1000
- d)1200
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A sum of money is to be distributed among P , Q , R and S in the propo...
Answer – C) 1000 Explanation : S – R = 7 – 6 = 1 => 500
2 × 500 = 1000
2 × 500 = 1000
Most Upvoted Answer
A sum of money is to be distributed among P , Q , R and S in the propo...
Let the total sum of money be x.
The proportion of money distributed is 2:5:6:7, which means that P will receive 2x/20, Q will receive 5x/20, R will receive 6x/20, and S will receive 7x/20.
Given that R gets Rs.500 more than S, we can set up the equation:
6x/20 = 7x/20 - 500
Multiplying both sides by 20 to remove the denominators, we get:
6x = 7x - 10,000
Subtracting 6x from both sides, we get:
x = 10,000
Therefore, the total sum of money is Rs.10,000.
To find P, we can substitute x into the equation for P:
P = 2x/20 = 2(10,000)/20 = 1000
Therefore, P will receive Rs.1000.
The proportion of money distributed is 2:5:6:7, which means that P will receive 2x/20, Q will receive 5x/20, R will receive 6x/20, and S will receive 7x/20.
Given that R gets Rs.500 more than S, we can set up the equation:
6x/20 = 7x/20 - 500
Multiplying both sides by 20 to remove the denominators, we get:
6x = 7x - 10,000
Subtracting 6x from both sides, we get:
x = 10,000
Therefore, the total sum of money is Rs.10,000.
To find P, we can substitute x into the equation for P:
P = 2x/20 = 2(10,000)/20 = 1000
Therefore, P will receive Rs.1000.
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Community Answer
A sum of money is to be distributed among P , Q , R and S in the propo...
Answer – C) 1000 Explanation : S – R = 7 – 6 = 1 => 500
2 × 500 = 1000
2 × 500 = 1000
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