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

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

Sum

`"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

shaalaa.com

Is there an error in this question or solution?

If x, y, z are in continued proportion, prove that `(x + y)^2/(y + z)^2 = x/z`

Find the value of the unknown in the following proportion :

3 : 4 : : p : 12

Find the third proportion to the following :

16x² and 24x

If u, v, w, and x are in continued proportion, then prove that (2u+3x) : (3u+4x) : : (2u³+3v³) : (3u³+4v³)

Verify the following:

39 : 65 : : 141 : 235

If 9 kg of rice costs Rs 327.60, what will be the cost of 50 kg of rice?

If 12 L of diesel is consumed by a car in covering a distance of 222 km, how many kilometers will it go in 22 L of diesel?

If 48 boxes contain 6000 pens, how many such boxes will be needed for 1875 pens?

In an army camp, there were provisions for 550 men for 28 days. But, 700 men attended the camp. How long did the provisions last?

Choose the correct answer from the given options :

The third proportional to `6(1)/(4)` and 5 is