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A Sum of Rs 750 is Distributed Among A, B, C and D in Such a Manner that A Gets as Much as B and C Together, B gets Rs. 125 More than C and D Gets as Much as C. What is A’s Share?

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Explanation

  • A sum of Rs 750 is distributed among A, B, C and D.
  • A gets as much as B and C together.
  • B gets Rs. 125 more than C.
  • D gets as much as C.

Let suppose C gets “y” then D should also get “y”, B will get “125 + y” and A will take “125 +y + y”.

So, we have a final expression;

125 + y + y + 125 + y + y + y = 750

Through this expression we can easily find out the value of “y” and A’s share.

To Find

A’s share = ?

Solution

Let suppose

C gets = y

D = y

B = 125 + y

A = 125 +y + y

Now, according to the condition;

125 + y + y + 125 + y + y + y = 750

250 + 5y = 750

5y = 500

y = 100

A’s share = 125 + y + y = 125 + 100 + 100 = Rs. 325 answer

Conclusion

A sum of Rs 750 is distributed among A, B, C and D in such a manner that A gets as much as B and C together, B gets Rs. 125 more than C and D gets as much as C. A’s share will be Rs. 325.

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