Question

how will ₹ 81500 be shared between A,B,C . if A gets the double of what B gets the double of what C gets​

Answer 1

QUESTION:

• How will ₹ 81500 be shared between A, B, C, if A gets the double of what B gets, and B gets the double of what C gets?

ANSWER:

Given:

• Total money = ₹81,500
• A get double of B
• B gets double of C

To Find:

• Share received by each person

Solution:

Let the amount received by C = x

As, B gets double of what C gets.

So,

⇒Amount received by B = 2x

Similarly, as A gets double of what B gets.

So,

⇒Amount received by A = 2 × 2x = 4x

Now, we are given that,

⇒ Total Money = ₹81,500 - - - -(1)

But,

⇒ Total Money = (Money received by A) + (Money received by B) + (Money received by C)

⇒ Total Money = 4x + 2x + x

⇒ Total Money = 7x - - - -(2)

Equating (1) and (2),

⇒7x = ₹81,500

Transposing 7 to RHS,

⇒x = ₹81,500/7

⇒x ≈ ₹11,642.86

So, the share received by each person:

• Share received by A = 4x = 4 × 11,642.86 = ₹46571.44
• Share received by B = 2x = 2 × 11,642.86 = ₹23285.72
• Share received by C = x = ₹11,642.86

Hence, the amount received by A, B and C is ₹46571.44, ₹23285.72 and ₹11,642.86 respectively.