Question

Divide Rs. 390 among 3 persons A, B and C such that 3 times A’s share, 2 times B’s share and 4 times C’s share are all equal. The shares of A, B and C are respectively

Answer 1

Answer:

Step-by-step explanation:

3A+2B+4C=390

3A=2B=4C

Therefore,

3A+3A+3A=390

9A=390

3A=130

A=130/3

130=2B=4C

B=130/2=65

C=130/4=65/2

Answer 2

Their share would be Rs. 120, Rs. 180 and Rs. 90.

Step-by-step explanation:

Since we have given that

$3A=2B=4C$

So, the ratio would be

A  :   B   :  C

8  :   12  :   6

4  :   6   :    3

Total = Rs. 390

So, Share of A would be $\dfrac{4}{13}\times 390=4\times 30=120$

Share of B would be $\dfrac{6}{13}\times 390=6\times 30=180$

Share of C would be $\dfrac{3}{13}\times 390=3\times 30=Rs.\ 90$

Hence, their share would be Rs. 120, Rs. 180 and Rs. 90.

# learn more: