Question

State whether the statement is True (or) False. And Justify it
7.5 litres : 15 litres =5 kg: 10 kg

Answer 1

if you consider water the 1 kg of water =1000ml of water=1 litre of water
now 7.5×1000÷15×1000=5×1000÷10×1000
7.5/15=5/10
1/2=1/2
so it is true

Answer 2

Given statement :

7.5 lites : 15 litres = 5 kg : 10 kg

THE ABOVE STATEMENT IS TRUE.

Finding the given Ratios are in proportion or not -

7.5 : 15

Multiply with 10 both sides

7.5 x 10 = 75

15 x 10 = 150

75 : 150

simplifying by 75

75 x 1 = 75

75 x 2 = 150

1 ; 2

The Ratio is 1 : 2

_______________________________

5 : 10

simplifying by 5

5 x 1 = 5

5 x 2 = 10

1 : 2

The Ratio is 1 : 2

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


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