Question

Divide ₹760 among ABC such that A gets 5/6 of what B gets and ratio between the shares of and C is 3:4
Hint lets B shares be ₹3x and C share be ₹4x
Then A share =₹4/6×3x =₹5x/2​

Answer 1

Answer:

The correct answer is A=200,B=240,C=320.

Step-by-step explanation:

From the given condition, we get

4x+3x+(5x/2)=760

x=80

A=5x/2=200

B=3x=240

C=4x=320

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Answer 2

Given ratio between share of B and C = 3:4

Let share of B be ₹ 3x and share of C be ₹ 4x

Also, given share of a is 5/6 times of share of C

So, share of A = 5/6 * ₹ 3x = ₹ 5x/2

We know ₹ 760 is divided among A, B and C.

So, sum of shares of A, B and C = ₹ 760

⇒ ₹ 5x/2 + ₹ 3x + ₹ 4x = ₹ 760

⇒ ₹ 19x/2 = ₹ 760

⇒ x = 760*2/19

⇒x = ₹80

Share of A = ₹ 5x/2 = ₹ 200

Share of B = ₹ 3x = ₹ 240

Share of C =₹ 4x = ₹ 320