₹1875 is divided among A, B and C in such a way that A‘s share is half of the combined share of B and C. and B's share is one-fourth of the combined share of A and C. By what amount is C’s share more than that of A ?

Let the amount for A is a ,for B is b and for C is c.

A/c to question ,

a=$$\frac{b+c}{2}$$ => 2a = b+c

b=$$\frac{a+c}{4}$$ =>4b = a+c

a = 4b-c

2a = 8b -2c

b+c = 8b - 2c

3c = 7b ---(1) => b:c = 3:7

2a = b +c

Using (1) ,

3a = 5b => a:b = 5:3

Using the above equations , we get the ration between a,b & c.

a:b:c = 5:3:7

Since 1875 is the total sum,

1875 = (5+3+7)x

x=125

So , difference between C's share and A's share = 250

So , the answer would be option c)250.