Question

Determine is the following questions form a proportion or not
i)- 2:3 and 4:5
ii)- 25g:200g and 6kg:48kg
iii)- 440m:2km and 55cm and 3m
iv)- 200ml:2.5l and 4rs:rs50

Answer 1

Answer:

 i)- 2:3 and 4:5 are not proportion  

ii)- 25 g :200 g and 6 kg :48 kg are in proportion  

iii)- 440 m : 2 km and 55 cm ; and 3 m are not proportion  

iv)- 200 ml : 2.5 l and 4 rs : rs 50 are not in proportion

Step-by-step explanation:

• if two ratios are equivalent to each other then the ratios are in Proportion to each other. (or) If two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.  

• If the ratios $a:b$ and $c:d$ are in proportion then $ad =bc$

    1) 2:3 and 4:5  ⇒  ad = 2×5 , bc= 3 ×4 ⇒ ad$\neq$ bc

      2:3  and 4:5 are not proportion to each other

  2) 25 g : 200 g  and 6 kg : 48 kg  

      25 g : 200 g and 6 kg : 48 kg  

      ad = 25 × 48 = 1200   ; bc = 200 × 6 =1200

      ad = bc ⇒  25 g : 200 g and 6 kg : 48 kg are in proportion

 3)  440 m : 2 km and 55 cm : 3 m  

      440 m : 2000 m ( 1 km =1000 m ⇒ 2 km = 2000 )

       0.55 m : 3 m       ( 1 cm = 0.01⇒ 55 cm = 0.55 m )

     ad = 440 ×  3 = 1320 ;  bc = 2000 × 0.55 = 1100

     ad $\neq$ bc  ⇒  440 m : 2 km and 55 cm : 3 m are not in proportion

  4)  200 ml : 2.51 l and 4 rs : 50 rs

      200 ml : 2510 ml    ( 1 L = 1000 ml)  

        4 rs : 50 rs

     ad = 200× 50 = 10,000 ; bc =  2510 × 4 = 10,040

    ad $\neq$ bc  ⇒ 200 ml : 2.51 l and 4 rs : 50 rs not proportion to each other