Question

8] Find the ratio of following: a) 30m to 30 km b) 5 paise to Rs 25
9] Convert the following ratios to percentages: a) 3:4 b) 2:3​

Answer 1

$\color{olive}\texttt{Solution \: (8) :- }$

$\color{orange}\texttt{solution (a) :}$

Ratio of :-

30 m = 30 m

30 km :-

= 30 × 1000 m

= 30,000 m

Ratio of 30 m to 30,000 m :-

$= \frac{\texttt{30}}{\texttt{30000} }$

$= \frac{\texttt{3}}{\texttt{3000}}$

$= \frac{\texttt{1}}{\texttt{1000} }$

$=\texttt{ \color{hotpink}1 : 1000}$

Therefore, 30 m to 30 km in a ratio is = 1:1000

$</strong><strong>\color{orange}</strong><strong>\texttt{solution (b) :}$

Ratio of :-

5 paise = 5 paise, to

Rs. 25 :-

= 25 × 100 paise

= 25,000 paise

Ratio of 5 paise to 25,000 paise :-

$= \frac{\texttt{5}}{\texttt{25000} }$

$= \frac{\texttt{1}} {\texttt{5000}}$

$=\texttt{ \texttt{\color{hotpink}1 : 5000}}$

Therefore, 5 paise to Rs. 25 is = 1:5000

$\texttt{\color{olive}Solution (9) :- }$

$\color{orange}\texttt{solution (a) : }$

The ratio 3:4 as a percentage :-

$= \texttt{3 : 4 = } \frac{\texttt{3}}{\texttt{4} }$

$= \frac{\texttt{3}}{\texttt{4}} ×\texttt{1}00$

$= \frac{\texttt{3 \: × \: 100}}{\texttt{4}}$

$= \frac{\texttt{300}}{\texttt{4} }$

$=\texttt{\color{hotpink} 75\%}$

Therefore, the ratio 3:4 as a percentage = 75%

$\color{orange}\texttt{solution (b) :}$

The ratio 2:3 as a percentage :-

$= \texttt{2 : 3 = }\frac{\texttt{2}}{\texttt{3} }$

$= \frac{\texttt{2}}{\texttt{3}} \texttt{\: \: \: × \: 100}$

$= \frac{\texttt{2×100}}{\texttt{3} }$

$= \frac{\texttt{200}}{\texttt{3}}$

$= \texttt{\color{hotpink}66.67\%}$

Therefore, the ratio 2:3 as a percentage = 66.67%

Answer 2

The above answer is the best !! Wow, I cud never give an answer like the one above !! I am so proud of the person who wrote it.

#AnimalLove