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An amount of money is to be distributed among P, Q and R in the ratio of 7:4:5 respectively. If the total share of P and R is 4 times the share of Q, what is definitely Q’s share?
- a)2000
- b)4000
- c)6000
- d)Data inadequate
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An amount of money is to be distributed among P, Q and R in the ratio ...
The given ratio is:
A : B : C = 3 : 5 : 7
Let the common factor be x. Thus, the production units will be:
A = 3x
B = 5x
C = 7x
We are also given that the total production is 30,000 units. So:
3x + 5x + 7x = 30,000
15x = 30,000
x = 2,000
Now, substitute x = 2,000 into the expressions for each product:
A's production = 3 × 2,000 = 6,000 units
B's production = 5 × 2,000 = 10,000 units
C's production = 7 × 2,000 = 14,000 units
So, the production for A, B, and C is:
A = 6,000 units
B = 10,000 units
C = 14,000 units
Final Answer:
Initial production:
A = 6,000 units, B = 10,000 units, C = 14,000 units
Initial production:
A = 6,000 units, B = 10,000 units, C = 14,000 units
Most Upvoted Answer
An amount of money is to be distributed among P, Q and R in the ratio ...
Answer – D.Data inadequate Explanation : Total sum not given
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Community Answer
An amount of money is to be distributed among P, Q and R in the ratio ...
Let's say the total amount of money is x.
The ratio of P, Q, and R's share is 7:4:5, which means:
- P's share = 7x/(7+4+5) = 7x/16
- Q's share = 4x/16 = x/4
- R's share = 5x/16
The total share of P and R is 4 times the share of Q:
- P's share + R's share = 4(Q's share)
- 7x/16 + 5x/16 = 4(x/4)
- 12x/16 = x
- x = 16/12 = 4/3
So the total amount of money is 4/3.
Now we can find Q's share:
- Q's share = 4/3 x 1/4 = 1/3
Therefore, Q's share is definitely 1/3 of the total amount of money.
The ratio of P, Q, and R's share is 7:4:5, which means:
- P's share = 7x/(7+4+5) = 7x/16
- Q's share = 4x/16 = x/4
- R's share = 5x/16
The total share of P and R is 4 times the share of Q:
- P's share + R's share = 4(Q's share)
- 7x/16 + 5x/16 = 4(x/4)
- 12x/16 = x
- x = 16/12 = 4/3
So the total amount of money is 4/3.
Now we can find Q's share:
- Q's share = 4/3 x 1/4 = 1/3
Therefore, Q's share is definitely 1/3 of the total amount of money.
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