Selina solutions for Concise Mathematics [English] Class 7 ICSE chapter 6 - Ratio and Proportion (Including Sharing in a Ratio) [Latest edition]

Express the given ratio in its simplest form: 22 : 66

Express the given ratio in its simplest form: 1.5 : 2.5

Express the given ratio in its simplest form: `6 1/4 : 12 1/2`

Express the given ratio in its simplest form: 40 kg : 1 quintal

Express the given ratio in its simplest form: 10 paise : ₹ 1

Express the given ratio in its simplest form: 200 m : 5 km

Express the given ratio in its simplest form: 3 hours : 1 day

Express the given ratio in its simplest form: 6 months: `1 1/3` years

Express the given ratio in its simplest form: `1 1/3:2 1/4:2 1/2`

Divide 64 cm long string into two parts in the ratio 5 : 3.

Rs. 720 is divided between x and y in the ratio 4:5. How many rupees will each get?

The angles of a triangle are in the ratio 3 :2 : 7. Find each angle.

A rectangular field is 100 m by 80 m. Find the ratio of length to its breadth.

A rectangular field is 100 m by 80 m. Find the ratio of breadth to its perimeter.

The sum of three numbers, whose ratios are `3 1/3 : 4 1/5 : 6 1/8` is 4917. Find the numbers.

The ratio between two quantities is 3:4. If the first number is 810, find the second number.

Two numbers are in the ratio 5: 7. Their difference is 10. Find the numbers.

Two numbers are in the ratio 10: 11. Their sum is 168. Find the numbers.

A line is divided into two parts in the ratio 2.5 : 1.3. If the smaller one is 35.1 cm, find the length of the line.

In a class, the ratio of boys to the girls is 7:8. What part of the whole class are girls?

The population of the town is 180,000, out of which males are `1/3` of the whole population. Find the number of females. Also, find the ratio of the number of females to the whole population.

Ten gram of an alloy of metals A and B contains 7.5 gm of metal A and the rest is metal B. Find the ratio between :
(i) the weights of metals A and B in the alloy.
(ii) the weight of metal B and the weight of the alloy.

The ages of two boys A and B are 6 years 8 months and 7 years 4 months respectively. Divide Rs. 3,150 in the ratio of their ages.

Three persons start a business and spend Rs. 25,000; Rs. 15,000 atid Rs. 40,000 respectively. Find the share of each out of a profit of Rs. 14,400 in a year

A plot of land, 600 sq m in area, is divided between two persons such that the first person gets three-fifth of what the second gets. Find the share of each.

Two poles of different heights are standing vertically on a horizontal field. At a particular time, the ratio between the lengths of their shadows is 2 :3. If the height of the smaller pole is 7.5 m, find the height of the other pole.

Two numbers are in the ratio 4 : 7. If their L.C.M. is 168, find the numbers.

Is divided between A and B in such a way that A gets half of B. Find :

(i) the ratio between the shares of A and B.
(ii) the share of A and the share of B.

The ratio between two numbers is 5 : 9. Find the numbers, if their H.C.F. is 16.

A bag contains ₹ 1,600 in the form of ₹10 and ₹20 notes. If the ratio between the numbers of ₹10 and ₹20 notes is 2 : 3; find the total number of notes in all.

The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator.

Check whether the following quantities form a proportion or not?

3x, 7x, 24 and 56

Check whether the following quantities form a proportion or not?

0.8, 3, 2.4 and 9

Check whether the following quantities form a proportion or not?

`1 1/2, 3 1/4, 4 1/2  "and"  9 3/4`

Check whether the following quantities form a proportion or not?

0.4, 0.5, 2.9 and 3.5 

Check whether the following quantities form a proportion or not?

`2 1/2, 5 1/2, 3.0  "and"  6.0`

Find the fourth proportional of 3, 12 and 4

Find the fourth proportional of 5, 9 and 45

Find the fourth proportional of 2.1, 1.5 and 8.4

Find the fourth proportional of `1/3, 2/5  "and"  8.4`

Find the fourth proportional of 4 hours 40 minutes, 1 hour 10 minutes and 16 hours.

Find the third proportional of 27 and 9

Find the third proportional of 2 m 40 cm and 40 cm

Find the third proportional of 1.8 and 0.6

Find the third proportional of `1/7  "and"  3/14`

Find the third proportional of  1.6 and 0.8

Find the mean proportional between 16 and 4

Find the mean proportional between 3 and 27

Find the mean proportional between 0.9 and 2.5

Find the mean proportional between 0.6 and 9.6

Find the mean proportional between `1/4  "and"  1/16`

If A : B = 3 : 5 and B : C = 4 : 7, find A : B : C

If x : y = 2 : 3  and y : z = 5 : 7, find x : y : z.

If m : n = 4 : 9 and n : s : 3 : 7, find m : s

If P : Q = `1/2 : 1/3` and Q : R = `1 1/2 : 1 1/3`, find P : R.

If a : b = 1.5 : 3.5 and b : c = 5 : 6, find a : c.

If `1 1/4 : 2 1/3 = "p" : "q"` and q : r = `4 1/2 : 5 1/4`; find p : r.

If x : y − 5 : 4 and 2 : x = 3 : 8, find the value of y.

Find the value of x, when 2.5 : 4 = x : 7.5.

Show that 2, 12 and 72 are in continued proportion.