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A sum of money is to be distributed among A, B, C, D in the proportion of
5:2:4:3. If C gets 1000 Rupees more than D, what is B's share?
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Answers
ANSWER
Given:
- Money distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3.
- C gets 1000 Rs more than D.
To Find:
- B's share
Solution:
We are given, that Money distributed among A, B, C, D is in the proportion of 5 : 2 : 4 : 3.
So, let the money received by A, B, C and D be 5x, 2x, 4x and 3x respectively.
We are also given that,
⇒ C received 1000 Rs more than D.
So,
⇒ 4x = 3x + 1000
Transposing 3x to LHS,
⇒ 4x - 3x = 1000
Hence,
⇒ x = 1000
Now,
⇒ B's share = 2x
But, x = 1000.
So,
⇒ B's share = 2 × 1000
⇒ B's share = 2000
Therefore, the amount recieved by B is Rs 2000.
Additional Answer:
⇒ A's share = 5x
⇒ A's share = 5 × 1000
⇒ A's share = 5000
⇒ C's share = 4x
⇒ C's share = 4 × 1000
⇒ C's share = 4000
⇒ D's share = 3x
⇒ D's share = 3 × 1000
⇒ D's share = 3000
And, total money will be:
⇒ Total money = Share of A + Share of B + Share of C + Share of D
⇒ Total money = 5000 + 2000 + 4000 + 3000
⇒ Total money = 14,000