A sum of Rs 1300 is divided amongst 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-Then P-s share is -

The correct option is A Rs 160P:Q = 2x:3x Q:R = 2y:3y R:S = 2z:3z 3x =2y (1) 3y =2z → (2) From (1) and (2) 3y =2z = 4.5x and 3z = 6.75x P:Q:R:S = 2x:3x:4.5x:6. ...

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Quantitative Aptitude

Ratio & Proportion

A sum of Rs 1...

Question

A sum of Rs 1300 is divided amongst P, Q, R and S such that $\frac{P's share}{Q's share} = \frac{Q's share}{R's share} = \frac{R's share}{S's share} .$ Then P’s share is :

Rs 140

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Rs 160

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Rs 240

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Rs 320

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Solution

The correct option is B Rs 160
P:Q = 2x:3x
Q:R = 2y:3y
R:S = 2z:3z
3x =2y (1)
3y =2z $\to$ (2)
From (1) and (2)
3y =2z = 4.5x and 3z = 6.75x
P:Q:R:S = 2x:3x:4.5x:6.75x
P+Q+R+S = 1300
1300 = 2x+3x+4.5x+6.75x
$x = \frac{1300}{16.25} = 80 P = 2 x = 80 \times 2 = 160$

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A sum of Rs 1300 is divided amongst P, Q, R and S such that P's shareQ's share=Q's shareR's share=R's shareS's share.Then P’s share is :

The correct option is B Rs 160P:Q = 2x:3x Q:R = 2y:3y R:S = 2z:3z 3x =2y (1) 3y =2z → (2) From (1) and (2) 3y =2z = 4.5x and 3z = 6.75x P:Q:R:S = 2x:3x:4.5x:6.75x P+Q+R+S = 1300 1300 = 2x+3x+4.5x+6.75x x=130016.25=80P=2x=80×2=160

A sum of Rs 1300 is divided amongst P, Q, R and S such that $\frac{P's share}{Q's share} = \frac{Q's share}{R's share} = \frac{R's share}{S's share} .$ Then P’s share is :

The correct option is B Rs 160
P:Q = 2x:3x
Q:R = 2y:3y
R:S = 2z:3z
3x =2y (1)
3y =2z $\to$ (2)
From (1) and (2)
3y =2z = 4.5x and 3z = 6.75x
P:Q:R:S = 2x:3x:4.5x:6.75x
P+Q+R+S = 1300
1300 = 2x+3x+4.5x+6.75x
$x = \frac{1300}{16.25} = 80 P = 2 x = 80 \times 2 = 160$