Question

A sum of rs.2236 is divided among a,b,c such that a recives 25% more than c and c receives 25% les than c what is a's share in the amount

Answer 1

Answer:

The sum is incorrect. I am assuming that the last part of the sum reads as: "c receives 25% less than b". Please verify. The answer is a's share is 780

Step-by-step explanation:

Let a, b and c be the shares. Thus:

a+b+c = 2236

Given a receives 25% more than c means a = 1.25c or a = (5/4)*c

c receives 25% less than b means c = 0.75*b

=> c = (3/4)*b

=> b = (4/3)*c

Expressing "a" and "b" in terms of "c", we get:

(5/4)*c + (4/3)*c + c = 2236

Using 12 as the common denominator, we get:

(15c + 16c + 12c) / 12 = 2236

43c = 2236 * 12

c = 624

b = (4/3)*c = (4/3)*624 = 832

a = (5/4)*c = (5/4)*624 = 780