Simplification - Arithmetic Aptitude Questions and Answers

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Discussion :: Simplification

A sum of Rs. 1360 has been divided among A, B and C such that A gets $\frac { 2} { 3 }$ of what B gets and B gets $\frac { 1 } { 4 }$ of what C gets. B's share is:

Rs. 120

Rs. 160

Rs. 240

Rs. 300

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Answer : Option C

Explanation :

Let C's share = Rs. x

Then, B's share = Rs.

$\frac { X } { 4},$

A's share = Rs. $[\frac { 2 } { 3 }$ * $\frac { X } { 4}$ ]=Rs. $\frac {X } {6 }$

$\frac {X } {6 }$ + $\frac { X } { 4}$ + x = 1360

$\frac { 17X } { 12 }=1360$

x = $\frac { 1360*12 } { 17 }$ = Rs. 960

Hence, B's share = Rs $(\frac { 960 } { 4 } )$ = Rs. 240

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