Question

State whether the statement is True (or) False. And Justify it
40 persons : 200 persons = Rs 15 : Rs 75

Answer 1

Given statement :

40 persons : 200 persons = Rs 15 : Rs 75

THE ABOVE STATEMENT IS TRUE -

Finding the given ratios are in proportion or not

40 : 200

simplifying by 40

40 x 1 = 40

40 x 5 = 200

1 : 5

The Ratio is 1 : 5

_______________________________

15 : 75

simplifying by 15

15 x 1 = 15

15 x 5 = 75

1 : 5

The Ratio is 1 : 5 .

Hence, The Ratios are equal , therefore they are in proportion .

$\bold{The \: statement \: is \: "True"}$