Question

The sum of rs 370 is to be divided among a,b,c such that 6a=5b=4c then a(s

Answer 1

We break this down to get the values of a, b, c.

6a = 5b

a = 5/6b

a : b = 5 : 6........... i

5b = 4c

b = 4/5 c

b : c = 4 : 5........... ii

We now get the joint ratio :

b is common in both cases so we make it equal in both cases :

We multiply i by 2 and ii by 3

10 : 12 = a : b

12 : 15 = b : c

Joint ratio is :

a : b : c = 10 : 12 : 15

The sum of the ratios is :

10 + 12 + 15 = 37

a's share is :

10/37 × 370 = 100

Rs 100