Q. 3.     Are the following statements true?

             (a) 40 persons : 200 persons = Rs.15:Rs.75

             (b) 7.5 litres : 15 litres = 5\; kg:10\; kg

             (c) 99\; kg:45\; kg  = Rs.44\; :Rs.\; 20

             (d) 32\; m:64\; m=6\; sec:12\; sec

            (e) 45\; km:60\; km=  12 hours :15 hours

Answers (1)
P Pankaj Sanodiya

(a) 40 persons : 200 persons = Rs.15:Rs.75

    \frac{40}{200}=\frac{1}{5}.........(1)

   \frac{15}{75}=\frac{1}{5}.........(2)

As we can see (1) is equal to (2), They are in proportion.

Hence The statement is True.

(b) 7.5 litres : 15 litres = 5\; kg:10\; kg

             

  \frac{7.5}{15}=\frac{1}{2}.........(1)

   \frac{5}{10}=\frac{1}{2}.........(2)

As we can see (1) is equal to (2), They are in proportion.

Hence The statement is True.

(c) 99\; kg:45\; kg  = Rs.44\; :Rs.\; 20

            

  \frac{99}{45}=\frac{11}{5}.........(1)

   \frac{44}{20}=\frac{11}{5}.........(2)

As we can see (1) is equal to (2), They are in proportion.

Hence The statement is True.

(d) 32\; m:64\; m=6\; sec:12\; sec

            

  \frac{32}{64}=\frac{1}{2}.........(1)

   \frac{6}{12}=\frac{1}{2}.........(2)

As we can see (1) is equal to (2), They are in proportion.

Hence The statement is True.

(e) 45\; km:60\; km=  12 hours :15 hours

  \frac{45}{60}=\frac{3}{4}.........(1)

   \frac{12}{15}=\frac{4}{5}.........(2)

As we can see (1) is not equal to (2), They are not in proportion.

Hence the statement is False.

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