Q: Find the ratio of: 9m to 27cm

9 m to 27 cm \Rightarrow 9\times100\ cm\ to\ 27\ cm\quad [\because 1\ m=100\ cm] \Rightarrow 900\ cm\ to\ 27\ cm Thus, ratio is =\dfrac{900}{27}=\dfrac{100}{3}=100:3

Q: a : b = 2 : 3 , b : c = 4 : 5 , c : d = 6 : 7 . Find a : b : c : d.

Given a:b=2:3 , b:c=4:5 , c:d=6:7 a:b=2\times 8:3\times 8=16:24\\ b:c=4\times 6:5\times 6=24:30\\ c:d=6\times 5:7\times 5=30:35\\ so\quad a:b:c:d=16:24:30:35

Q: Find the ratio 50 paise to Rs. 5

Since, {\rm{Rs}}{\rm{.1}} = {\rm{100}}\;{\rm{paise}} The ratio is given as, r = \dfrac{{50\;{\rm{paise}}}}{{5 \times 100\;{\rm{paise}}}} r = \dfrac{1}{{10}} Thus, the required ratio is 1:10 .

Q: Find the ratio of the following in the simplest form. 3 m 5 cm to 35 cm.

We know that,1 meter = 100 cm.3 m 5 cm = 3 \times 100 cm + 5 cm. = 305 cm.Thus, 3 m 5 cm : 35 cm = 305 cm : 35 cm. = \dfrac{305}{35} . = \dfrac{61}{7} = 61 : 7.

Q: Find the ratio of the following 40\ cm to 1.5\ m

40 cm :1.5 m =40 cm :1.5\times 100 cm since 1 m =100 cm =40:150 =4:15 \therefore the ratio is 4:15

Q: If angles of a triangle are in the ratio 2:3:4 . Find the value of each angle.

Let common ratio be 2x, 3x and 4x \rightarrow let common ratio be x \therefore \ Angle are 2x,\ 3x and 4x \therefore \ 2x+3x4x=180^o \therefore \ 9x=180^o \therefore \ x=\dfrac {180^o}{9}=20^o \therefore \ Angle are 40^o,\ 60^o,\ 80^o

Q: Find the ratio of the given statement in the simplest form. 3 weeks to 3 days.

We know that, 1 week = 7 days .So, 3 weeks : 3 days = 3 \times 7 days : 3 days = 21 days : 3 days = \dfrac{21}{3} = \dfrac{7}{1} = 7 : 1

Question 1

The length and breadth of a rectangular field are  50\ m  and  15\ m  respectively. Find the ratio of the breadth to the length of the field.

Accepted Answer

The length of the rectangular field is  50 m  and
breadth of the field is  15 m .

The ratio of breadth and length is,

{\rm{breadth}}:{\rm{length}} = 15:50=\dfrac{15}{50}=\dfrac{3}{10}

= 3:10

Question 2

Find the ratio of each of the following in simplest form: 15\ mm  to  2\ cm

Accepted Answer

15\ mm: 20\ cm 10\ mm: 1\ cm 15\ mm=\dfrac {15}{10}\ cm \dfrac{\dfrac{15}{10}}{\dfrac 21}=\dfrac {15}{10}	imes \dfrac12=\dfrac 34=3:4

Question 3

Find the ratio of: 9m  to  27cm

Accepted Answer

9 m to 27 cm \Rightarrow 9	imes100\ cm\ to\ 27\ cm\quad [\because 1\ m=100\ cm] \Rightarrow 900\ cm\ to\ 27\ cm Thus, ratio is  =\dfrac{900}{27}=\dfrac{100}{3}=100:3

Question 4

a : b = 2 : 3 , b : c = 4 : 5 , c : d = 6 : 7 . Find a : b : c : d.

Accepted Answer

Given  a:b=2:3 , b:c=4:5 , c:d=6:7 a:b=2	imes 8:3	imes 8=16:24\ b:c=4	imes 6:5	imes 6=24:30\ c:d=6	imes 5:7	imes 5=30:35\ so\quad a:b:c:d=16:24:30:35

Question 5

Find the ratio  50  paise to Rs.  5

Accepted Answer

Since,  {m{Rs}}{m{.1}}
= {m{100}}\;{m{paise}}

The ratio is given as,

r =
\dfrac{{50\;{m{paise}}}}{{5 	imes 100\;{m{paise}}}}

r = \dfrac{1}{{10}}

Thus, the required ratio is  1:10 .

Question 6

Find the ratio of the following in the simplest form. 3 m  5 cm to  35 cm.

Accepted Answer

We know that,1 meter = 100 cm.3 m 5 cm = 3   	imes   100 cm + 5 cm.                 = 305 cm.Thus, 3 m 5 cm : 35 cm = 305 cm : 35 cm.                              =   \dfrac{305}{35} .                              =   \dfrac{61}{7}                               = 61 : 7.

Question 7

The ratio of length of two trains is  5 : 3  and the ratio of their speed is  6 : 5 . The ratio of time taken by them to cross a pole is

Accepted Answer

It is given that, \dfrac {l_{1}}{l_{2}} = \dfrac {5}{3}  and  \dfrac {s_{1}}{s_{2}} = \dfrac {6}{5}\Rightarrow \dfrac {t_{1}}{t_{2}} = \dfrac {\dfrac {l_{1}}{s_{1}}}{\dfrac {l_{2}}{s_{2}}} = \dfrac {l_{1}}{l_{2}}	imes \dfrac {s_{2}}{s_{1}} = \dfrac {5}{3}	imes \dfrac {5}{6} = \dfrac {25}{18} Hence,  t_{1} : t_{2} = 25 : 18 .

Question 8

Find the ratio of the following 40\ cm  to  1.5\ m

Accepted Answer

40 cm :1.5 m =40 cm :1.5	imes 100 cm since  1 m =100 cm =40:150 =4:15 	herefore  the ratio is  4:15

Question 9

If angles of a triangle are in the ratio  2:3:4 . Find the value of each angle.

Accepted Answer

Let common ratio be  2x, 3x  and  4x ightarrow   let common ratio be  x 	herefore \   Angle are  2x,\ 3x  and  4x 	herefore \ 2x+3x4x=180^o 	herefore \ 9x=180^o 	herefore \ x=\dfrac {180^o}{9}=20^o 	herefore \   Angle are  40^o,\ 60^o,\ 80^o

Question 10

Find the ratio of the given statement in the simplest form. 3  weeks to  3  days.

Accepted Answer

We know that, 1 week = 7 days .So,  3 weeks : 3 days  =  3 	imes 7 days : 3 days                               =  21 days : 3 days                                =  \dfrac{21}{3}                                 = \dfrac{7}{1}                                 =  7 : 1

Revise with Concepts

Introduction to Ratios

Dividing a Quantity in a Given Ratio

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Quick Summary With Stories

Introduction to Ratios

Dividing a Quantity in a Given Ratio

Important Questions

The length and breadth of a rectangular field are $50 m$ and $15 m$ respectively. Find the ratio of the breadth to the length of the field.

Find the ratio of each of the following in simplest form:
$15 m m$ to $2 c m$

Find the ratio of:
$9 m$ to $27 c m$

a : b = 2 : 3 , b : c = 4 : 5 , c : d = 6 : 7 . Find a : b : c : d.

Find the ratio $50$ paise to Rs. $5$

Find the ratio of the following in the simplest form.
$3$ m $5$ cm to $35$ cm.

The ratio of length of two trains is $5 : 3$ and the ratio of their speed is $6 : 5$ . The ratio of time taken by them to cross a pole is

Find the ratio of the following
$40 c m$ to $1.5 m$

If angles of a triangle are in the ratio $2 : 3 : 4$ . Find the value of each angle.

Find the ratio of the given statement in the simplest form.
$3$ weeks to $3$ days.

Revise with Concepts

Introduction to Ratios

Dividing a Quantity in a Given Ratio

Learn with Videos

Quick Summary With Stories

Introduction to Ratios

Dividing a Quantity in a Given Ratio

Important Questions

The length and breadth of a rectangular field are 50 m and 15 m respectively. Find the ratio of the breadth to the length of the field.

Find the ratio of each of the following in simplest form: 15 mm to 2 cm

Find the ratio of: 9m to 27cm

a : b = 2 : 3 , b : c = 4 : 5 , c : d = 6 : 7 . Find a : b : c : d.

Find the ratio 50 paise to Rs. 5

Find the ratio of the following in the simplest form. 3m 5cm to 35cm.

The ratio of length of two trains is 5:3 and the ratio of their speed is 6:5. The ratio of time taken by them to cross a pole is

Find the ratio of the following 40 cm to 1.5 m

If angles of a triangle are in the ratio 2:3:4. Find the value of each angle.

Find the ratio of the given statement in the simplest form. 3 weeks to 3 days.

The length and breadth of a rectangular field are $50 m$ and $15 m$ respectively. Find the ratio of the breadth to the length of the field.

Find the ratio of each of the following in simplest form:
$15 m m$ to $2 c m$

Find the ratio of:
$9 m$ to $27 c m$

Find the ratio $50$ paise to Rs. $5$

Find the ratio of the following in the simplest form.
$3$ m $5$ cm to $35$ cm.

The ratio of length of two trains is $5 : 3$ and the ratio of their speed is $6 : 5$ . The ratio of time taken by them to cross a pole is

Find the ratio of the following
$40 c m$ to $1.5 m$

If angles of a triangle are in the ratio $2 : 3 : 4$ . Find the value of each angle.

Find the ratio of the given statement in the simplest form.
$3$ weeks to $3$ days.