Page 1 :
Hill Gate School, New Colony — |, Class - VI, 2022 Mathematics Note — I(a), , Chapter — 12: Ratio and Proportions, Exercise 12.1-page no: 251, 1. There are 20 girls and 15 boys in a class., (a) What is the ratio of number of girls to the number of boys?, , (b) What is the ratio of number of girls to the total number of, students in the class?, , Solutions: Given, Number of girls = 20 girls, Number of boys = 15 boys, Total number of students = 20+ 15, , =35, , (a) Ratio of number of girls to number of boys = 2, , 4, 3, , (b) Ratio of number of girls to total number of students = 2, , 4, 7, , 2: Out of 30 students in a class, 6 like football, 12 like cricket and, remaining like tennis. Find the ratio of, (a) Number of students liking football to number of students, liking tennis., , (b) Number of students liking cricket to total number of

Page 2 :
students., , Solutions: Given,, , (a), , (b), , Number of students who like football = 6, Number of students who like cricket = 12, Number of students who like tennis = 30 - 6 - 12, =12, Ratio of number of students liking football to the, number of students liking tennis, , 6, , 12, , NI, Ratio of number of students liking cricket to total, , _ 12, , number of student “ag, , 4. Distance travelled by Hamid and Akhtar in an hour are 9 km and, , 12 km. Find the ratio of speed of Hamid to the speed of Akhtar., , Solutions: We know that, The speed of a certain object is the, , Ratio of speed of Hamid to the speed of Akhtar =, , distance travelled by that object in an hour, Distance travelled by Hamid in one hour = 9 km, Distance travelled by Akhtar in one hour = 12 km, Speed of Hamid = 9 km/hr, Speed of Akhtar = 12 km/hr, , oa, 12

Page 4 :
Blo, , , , , , 98 14x7, (>) 63> 9x7, 14, "9, @ 33-30, 121° 11x11, -2, “11, 30 = 2x3x5, , , , 45° 3x3x5, =2/3, 7. Find the ratio of the following:, , (a) 30 minutes to 1.5 hours, , (b) 40cmto1.5m, (c) 55 paise to =1, (d) 500 mito 2 litres, , Solutions: (a) 30 minutes to 1.5 hours, , . _ 30, 30 min = 60, , = 0.5 hours, , 0.5 hours, , Required ratio = 7S hOUre, , 5, , “4, , 1, 3

Page 5 :
(b) 40cmto1.5m, 1.5m = (1.5 x 100) cm, =150cm, , . . 40, Required ratio = 750, , -4, 15, , (c) 55 paise to=1, , , , = 1 = 100 paise, . . 55, Required ratio = 700, _11x5, ~ 20x5, -u, ~ 20, , (d) for student to solve., , In a year, Seema earns = 1,50,000 and saves % 50,000. Find the, , ratio of, , (a) Money that Seema earns to the money she saves, , (b) Money that she saves to the money she spends., , Solutions: We have, Money earned by Seema = = 150000, , Money saved by her = = 50000, Money spent by her = 150000 - = 50000, =% 100000, , 150000, , (a) _ Ratio of money earned to money saved = 50000, , 3, ;