a sum of rs 1300 is divided among p q r..., Ratio & Proportion, General Mathematics

Question:`A` sum of `Rs. 1300` is divided among `P, Q, R` and `S` such that : 

`(P's share)/(Q's share) = (Q's share)/(R's share) = (R's share)/(S's share) = 2/3`.

What is `P's share` ?

A `Rs. 320` 
B `Rs. 240` 
C `Rs. 160` 
D `Rs. 140`

/107

+ AnswerC

+ Explanation`P : Q = 2 : 3, Q : R = 2 : 3 = 3/2 xx 2 : 3/2 xx 3 = 3 : 9/2`.

`:. P : Q : R = 2 : 3 : 9/2 = 4 : 6 : 9`

And, `R : S = 2 : 3 : 9/2 xx 2 : 9/2 xx 3 = 9 : (27)/2`

`:. P : Q : R : S = 4 : 6 : 9 : (27)/2 = 8 : 12 : 18 : 27`.

`:. P's share = Rs. (1300 xx 8/(65))`

`= Rs. 160`.

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Question:`A` sum of `Rs. 1300` is divided among `P, Q, R` and `S` such that : `(P's share)/(Q's share) = (Q's share)/(R's share) = (R's share)/(S's share) = 2/3`. What is `P's share` ?

A `Rs. 320`

B `Rs. 240`

C `Rs. 160`

D `Rs. 140`

C