Question

Divide ₹ 4160 among A,B and C such that 2A=3B=4C​

Answer 1

A+B+C=4160-(i)

now,2A=3B=4C (given)

let,2A=3B=4C=K

2A=K

A=K/2-(ii)

3B=K

B=K/3-(iii)

4C=K

C=K/4-(iv)

now add all the three (ii),(iii),(iv)

2A+3B+4C=4160

K/2+K/3+K/4=4160

6K+4K+3K/12=4160

13K/12=4160

13K=4160×12

K=320×12

K=3840

2A=K/2=3840/2=1920

3B=K/3=3840/3=1280

4C=K/4=3840/4=960

THEREFORE,₹1920,1280AND₹960 ARE DEVIDED AMONGST THEM