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1.Find the ratio of the following:
a) 55 paise to Re.1 b) 500 ml to 2 liters
Answer:
a) Ratio of 55 paise to Re. 1 =
b) Ratio of 500 ml to 2 liters =
2.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?
Answer:
Speed of Hamid = 9 km / hr
Speed of Akhtar = 12 km/ hr
Therefore ratio of speed of Hamid to the speed of Akhtar = 9/12 = 3/4 = 3 : 4.
3.Out of 30 students in a class, 6 like football , 12 like cricket and the remaining 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 students.
Answer:
Total number of students = 30
Number of students liking football = 6
Number of students liking cricket = 12
Number of remaining students who like tennis = 30 - (6 + 12 ) = 30 - 18 = 12.
(a) Ratio of the number of students liking football to the number of students liking tennis
= 6/12 = 1/2 = 1 : 2
(b) Ratio of the number of students liking cricket to the total number of students = 12/30 = 2/5 = 2 : 5
4.In a school , there were 73 holidays in one year.What is the ratio of the number of holidays to the number of days in one year?
Answer:
Number of holidays in the year = 73
Number of days in one year = 365
Therefore ratio of the number of holidays to the number of days in one year
= 73/365 = 1/5 = 1 : 5
5.Find the ratio of the following :
(a) 81 to 108 (b) 98 to 63
(c) 30 minutes to 45 minutes
Answer:
(a) Ratio of 81 to 108 =
(b) Ratio of 98 to 63 =
(c) Ratio of 30 minutes to 45 minutes
=
6. Cost of a dozen pens is Rs. 180 and cost of 8 ball pens is Rs. 56.Find the ratio of the cost of a pen to the cost of a ball pen?
Answer:
Cost of 12 pens = Rs. 180
Cost of 1 pen = Rs. 180 ÷ 12 = Rs. 15
Cost of 8 ball pens = Rs. 56
Cost of 1 ball pen = Rs. 56 ÷ 8 = Rs. 7
Therefore Ratio of the cost of a pen to the cost of a ball pen =
7.If the cost of 7 m of cloth is Rs. 294, find the cost of 5 m of cloth?
Answer:
Cost of 7 m of cloth = Rs. 294
Cost of 1 m of cloth = Rs. 294/7 = Rs. 42
Cost of 5 m of cloth = Rs. 42 × 5 = Rs. 210
8.If it has rained 276 mm in the last 3 days, how many cm of rain will fall in one full week (7 days) ?
Answer:
Rainfall in 3 days = 276 mm
Rainfall in 1 day = 276/3 = 92 mm
Rainfall in 7 days = 92 × 7 = 644 mm
= 644/10 cm = 64.4 cm.
9.Shaina pays Rs. 7500 as rent for 3 months.How much does she have to pay for a whole year, if the rent for month remains the same ?
Answer:
Rent for 3 months = Rs. 7500
Rent for 1 month = Rs. 7500/3 = Rs. 2500
Rent for a whole year = Rs. 2500 × 12 = Rs. 30,000.
10.The weight of 72 books is 9 kg.What is the weight of 40 such books ?
Answer:
Weight of 72 books = 9 kg
Weight of 1 book = 9/72 = 1/8 kg
Weight of 40 books = 1/8 × 40 = 5 kg