Question

A sum of rs 350 is divided as a,b,c,d among four people such that 12a=15b=20c=30d.what is the value of (a+b) - (b+d)?​

Answer 1

Answer: 75

Step-by-step explanation:

first, we have to find out the ratio of the sum received by each

ie a:b:c:d = ?

given 12a = 15b

a/b = 15/12 = 5/4

similarly 12a = 20c

a/c = 20/12 = 5/3

12a = 30d

a/d = 30/12 = 5/2

therefore a:b:c:d = 5:4:3:2

ie the sum will be divided in this ratio

lets find the sum received by each

a = 350 x 5/(5+4+3+2)

= 350 x 5/14 = 125

b = 350 / 4/14 = 100

c = 350 x 3/14 = 75

d = 350 x 2/14 = 50

therefore, (a+b)-(b+d) = (125+100)-(100+50)

=225-150 = 75