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If P: Q = R: S; Then Show That: Mp + Nq : Q = Mr + Ns : S. - Mathematics

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Question

If p: q = r: s; then show that: mp + nq : q = mr + ns : s.

Solution

`p/q = r/s`

`=> (mp)/q = (mr)/s`

`=> (mp)/q + n = (mr)/s + n`

`=> (mp + nq)/q = (mr + ns)/s`

Hence mp + nq : q = mr + ns : s

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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(B) | Q: 16 | Page no. 94
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Solution If P: Q = R: S; Then Show That: Mp + Nq : Q = Mr + Ns : S. Concept: Proportions.
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