Selina solutions concise mathematica class 7 icse Solutions for Chapter 6 ratio and proportion including sharing in a ratio

Exercises in Chapter 6 ratio and proportion including sharing in a ratio Grade 7

Exercise 6(A)

Exercise 6(B)

Questions in Exercise 6(A)

Q1) Express each of the given ratios in its simplest form:

(i) 22:66

(ii) 1.5:2.5

(iii) $6\frac{1}{4}:12\frac{1}{2}$

(iv) 40 kg: 1 quintal

(v) 10 paisa: 1 rupee

(vi) 200m:5km

(vii) 3hours:1day

(viii) $6\ months:1\frac{1}{3}\ year$

(ix) $1\frac{1}{3}:2\frac{1}{4}:2\frac{1}{2}$

Q2) Divide 64cm long string into two parts into ratio 5:3.

Q3) Rs 720 is divided between x and y in the ratio 4:5. How many rupees will each get?

Q4) The angle of a triangle is in the ratio 3:2:7. Find each angle.

Q5) A rectangular field is 100 m by 80 m. find the ratio of

(i) length to its breadth

(ii) breadth to its perimeter

Q6) The sum of three numbers, whose ratio is the sum of three numbers, whose ratios are $3\frac{1}{3}:4\frac{1}{5}:6\frac{1}{8}$ is 4917. Find the numbers.

Q7) The ratio between the two quantities is 3:4. The first is Rs 810, find the second.

Q8) Two numbers are in the ratio 5:7. Their difference is 10. Find the number.

Q9) Two numbers are in the ratio 10: 11. Their sum is 168. Find the numbers.

Q10) A line is divided into two parts in the ratio of 2.5: 1.3. If the smaller one is 35.1 cm, find the length of the line.

Q11) In a class, the ratio of boys to the girls is 7:8. What part of the whole class are girls?

Q12) The population of a town is ’ 50,000, out of which males are $\frac{1}{3}$ of the whole population. Find the number of females. Also, find the ratio of the number of females to the whole population.

Q13) 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.

Q14) 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.

Q15) Three persons start a business and spend Rs. 25,000; Rs. 15,000 and Rs. 40,000 respectively. Find the share of each out of a profit of Rs. 14,400 in a year.

Q16) 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.

Q17) 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.

Q18) Two numbers are in the ratio 4: 7. If their L.C.M. is 168, find the numbers.

Q19) 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.

Q20) The ratio between the two numbers is 5: 9. Find the numbers, if their H.C.F. is 16.

Q21) 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.

Q22) 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.

Questions in Exercise 6(B)

Q1) Check whether the following quantities form a proportion or not?

(i) 3x,7x,24 and 56

(ii) 0.8,3,2.4 and 9

(iii) $1\frac{1}{2},3\frac{1}{4},4\frac{1}{2}\ and\ 9\frac{3}{4}$

(iv) 0.4, 0.5, 2.9 and 3.5

$(v)2\frac{1}{2},5\frac{1}{2},3.0\ and\ 6.0$

Q2) Find the fourth proportional of

(i) 3,12 and 4

(ii) 5.9 and 45

(iii) 2.1, 1.5 and 8.4

(iv) $\frac{1}{3},\frac{2}{5}and\ 8.4$