Question

Rs. 700 is divided among a, b, c so that a receives half as much as b and b half as much as c. Then c's share is

Answer 1

Answer:

C will get RS 400.

Step-by-step explanation:

Let's consider A as x.

Then x+2x+4x=700

= 7x = 700

= x = 100.

Then A will get 100.

B will get 200

C will get 400.

Answer 2

AnswEr :

• Rs. 700 Divided among A, B and C
• A receives Half as much as B, and B receives half as much as C.
• Find the Share of C.

Let the C's Share be x. Then, Share of Others will be respectively :

» B receives half as much as C

» B = $\sf\dfrac{C}{2}$

» B = $\sf\dfrac{x}{2}$

⠀

» A receives half as much as B

» A = $\sf\dfrac{B}{2}$

» A = $\sf\dfrac{\frac{x}{2}}{2}$

» A = $\sf\dfrac{x}{4}$

_________________________________

• According to the Question Now :

⇒ A + B + C = 700

⇒ $\sf \dfrac{x}{4} + \dfrac{x}{2} + x = 700$

⇒ $\sf \dfrac{x + 2x + 4x}{4} = 700$

⇒ 7x = 700 × 4

• Dividing Both term by 7

⇒ x = 100 × 4

⇒ x = Rs. 400⠀⠀[ C's Share ]

⠀

◗ A's Share = $\sf\dfrac{x}{4}=\cancel\dfrac{400}{4}$ = Rs. 100

◗ B's Share = $\sf\dfrac{x}{2}=\cancel\dfrac{400}{2}$ = Rs. 200

◗ C's Share = x = Rs. 400

⠀

∴ Therefore, C's Share will be Rs. 400