Rs 1875 is divided among A B and C in such a way that A lsquo s share is half of the combined share ...........

Quantitative Aptitude (CGL) Ratio, Proportion

Rs 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 onefourth of the combined share of A and C. By what amount is C’s share more than that of A ?

This questions was previously asked in

SSC CGL 4 June 2019 Shift-1

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Explanation:

Let the amount for A is a ,for B is b and for C is c.
A/c to question ,
a= b+c/2 => 2a = b+c
b= 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