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} =\frac{\R's \share }{\S's \share} =2 /3. Then P's share is:

Ratio and Proportion Practice Test 4

Question : 39 of 40

Marks: +1, -0

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

. Then P's share is:

Solution:

Let the share of P, Q, R and S be Rs. p, Rs. q, Rs. r and Rs. s respectively.
Now,

p/ q= q/ r= r /s = 2/ 3

Then,

\table p= 2/3q,q=2/3r,r=2/3s;=2/3×2/3×2/3s=8/27s,=2/3×2/3s=4/9s

Now,

8/27s+4/9s+2/3s+s=1300

⇒s=540

Hence, P's share = Rs. p

= \Rs 8/27s =\Rs . 160

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