Three Persons A, B And C Divide A Certain Amount Of Money Such That A

1.	Three Persons A, B And C Divide A Certain Amount Of Money Such That A’s Share Is Rs. 4 Less Than Half Of The Total Amount, B’s Share Is Rs. 8 More Than Half Of What Is Left And Finally C Takes The Rest Which Is Rs. 14. Find The Total Amount They Initially Had With Them?
Answer» <P>LET the total amount be Rs. p. Let SHARES of A and B be Rs. x and Rs. y respectively. C’s share was Rs. 14 we have, x + y + 14 = p —– (1) From the given data, x = (p/2) – 4 —– (2) Remaining amount = p – (p/2 – 4) => p/2 + 4. y = 1/2(p/2 + 4) + 8 => p/4 + 10 —– (3) From (1), (2) and (3) p/2 – 4 + p/4 + 10 + 14 = p 3p/4 + 20 = p p/4 = 20 => p = Rs. 80. Let the total amount be Rs. p. Let shares of A and B be Rs. x and Rs. y respectively. C’s share was Rs. 14 we have, x + y + 14 = p —– (1) From the given data, x = (p/2) – 4 —– (2) Remaining amount = p – (p/2 – 4) => p/2 + 4. y = 1/2(p/2 + 4) + 8 => p/4 + 10 —– (3) From (1), (2) and (3) p/2 – 4 + p/4 + 10 + 14 = p 3p/4 + 20 = p p/4 = 20 => p = Rs. 80.

Three Persons A, B And C Divide A Certain Amount Of Money Such That A’s Share Is Rs. 4 Less Than Half Of The Total Amount, B’s Share Is Rs. 8 More Than Half Of What Is Left And Finally C Takes The Rest Which Is Rs. 14. Find The Total Amount They Initially Had With Them?

Answer»

<P>LET the total amount be Rs. p.

Let SHARES of A and B be Rs. x and Rs. y respectively.

C’s share was Rs. 14

we have, x + y + 14 = p —– (1)

From the given data, x = (p/2) – 4 —– (2)

Remaining amount = p – (p/2 – 4) => p/2 + 4.

y = 1/2(p/2 + 4) + 8 => p/4 + 10 —– (3)

From (1), (2) and (3)

p/2 – 4 + p/4 + 10 + 14 = p

3p/4 + 20 = p

p/4 = 20 => p = Rs. 80.

Let the total amount be Rs. p.

Let shares of A and B be Rs. x and Rs. y respectively.