A sum of x is divided among A B and C suchthatthe ratio of shares of A and B is 7 12 and that o...........

Quantitative Aptitude (CGL) Ratio, Proportion

A sum of x is divided among A, B and C suchthatthe ratio of shares of A and B is 7 : 12 and that of B and C is 8: 5. If the

difference in the shares of A and C is Rs 219, then the value of x is:

This questions was previously asked in

SSC CGL 7 June 2019 Shift-3

View All ssc Previous Year Papers

17,231

15,321

11,607

21,901

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Explanation:

Correct Optionis 1 : 11607

Solution

Ratio of A and B = 7:12
Ratio of B and C = 8:5
Concept
if A: B=x:y and B:C=a:b
then, A: B: C = xa: ya:yb
Calculation
Let the total sum is x
A: B:C=7(8): 12(8): 12(5)
=56:96:60
14:24:15
A's share = (14/53) of x
=14x/53
C's share = (15/53) of x
⇒15x/53
C's share - A's share = 219
(15x/53) (14x/53) = 219
=x/53 = 219
⇒x= 219 x 53
⇒x=11607
The value of x is 11607