Question

A sum of Rs. 350 is divided as Rs A, B, C, D among four people such that 12A=15B=20C=30D.what is the value of (A+C)-(B+D)​

Answer 1

let 12A=15B=20C=30D=K

A=K/12 B=k/15 C=K/20 D=K/30

A+B+C+D

K/12+K/15+K/20+K/30=350

14k/60=350

k=1500

A=1500/12=125

B=1500/15=100

C=1500/20=75

D=1500/30=50

(A+C)-(B+D)=(125+75)-(100+50)=50

Answer 2

Answer:

50

Step-by-step explanation:

12A=15B=20C=30D

12A/60 =15B/60=20C/60=30D/60 (lcm of 12,15,20 and 30 is 60)

A/5=B/4=C/3=D/2= K (let)

A=5K, B=4K,C=3K, D=2K

Now,

5k+4k+3k+2k=350

14k=350

k=25

Now just put the values in each

A=5×25=125

B=100

C=75

D=150

(A+C)-(B+D) = 50 (just put their values in the equation)