Question

If p,q,r,s are in proportion then find (p-q)(p-r)/p​

Answer 1

Answer:

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Answer 2

Given : p,q,r,s are in proportion

To find : $\frac{(p-q)(p-r)}{p}$

Explanation:

p:q :: r:s

thus

ps = qr

$\frac{(p-q)(p-r)}{p} = \frac{p^2-qp-rp+qr}{p}$

$= \frac{p^2-p(q+r)+ps}{p}\\\\=p-(q+r)+s\\\\=p+s-q-r$

thus ,

the value of $\frac{(p-q)(p-r)}{p}=p+s-q-r$

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