Question

find out the share of b among rs.396 such that a gets 3/5 of what b gets and b gets1/5 of what c gets?

Answer 1

Answer:

Let,

A gets x

B gets y

C gets z

Acc to condition 1

x+y+z = 395 {eq 1

Now B gets 25% more than A

→ y = x + 25%x

→ y = x + x/4

→ y = 5x/4

→ x = 4y/5 {eq 2

Also B gets 20% more than C

→ y = z + 20%z

→ y = z + z/5

→ y = 6z/5

→ z = 5y/6 {eq 3

Now put values of x (eq 1) and z(eq 2) in eq 1

4y/5 + y + 5y/6 = 395

Take LCM, solve the eq for y, you get

y = 150

Put vaue of y in eq 2 & eq 3 you get

x = 120

z = 125

So A’s share is 120/395