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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)

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(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.

Posted by

Pankaj Sanodiya

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