Latest R-SAT Aptitude Question SOLUTION: Rs.1170 is divided, So that 4 times the 1st share, thrice the 2nd share and twice the 3rd share amount to the same. What is the value of 3rd share? A. 530 B. none C. 540 D. 500

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(#M40158187) R-SAT Category question Keep an EYE

Rs.1170 is divided, So that 4 times the 1st share, thrice the 2nd share and twice the 3rd share amount to the same. What is the value of 3rd share?



A. 530
B. none
C. 540
D. 500
E. 400

Asked In R-SAT TELLA ANJANI DEVI (7 years ago)

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kandi sindhuja reddy  (7 years ago)

Ans :C
let 1st share = x, 2nd share = y , 3rd share = z.
given 4x = 3y = 2z amounts to same,

let 4x = 3y = 2z = k (constant)
then x=k/4 , y=k/3 and z=k/2
now we have given that sum of shares = 1170 rupees, then
==> x+y+z = 1170
==> k/4+k/3+k/2 = 1170
==> k = 1080
==> 3rd share z= k/2 ==> 1080/2 = 540

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Biplab Bhattacherjee  (7 years ago)

C. 540

Assume the three shares are x, y and z
The first condition would be x+y+z=1170 ------(1)
Given the clause that 4x=3y=2z -------> x/3 = y/4 = z/6 -----(2)
From (2) it is obvious that y=(4/3)x -----(3)
z=(6/3)x = 2x -----(4)
Using (3) and (4) in (1) we get x + (4/3)x + 2x = 1170 ----> 13x/3=1170 ----> x= 1170 (3/13) ---> x= 270 ---(5)
Therefore the third share, z= 2x = 2*270 = 540.

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